3rd Quarter Performance Task Grade 10

Multiple Choice

An unlikely chance event is closer to what number?

• 0
• 1
• 2
• 3

Multiple Choice

A likely chance event is closer to what number?

• 0
• 1
• .5
• 100

Multiple Choice

If you select a marble without looking, how likely is it that you will pick a black one?

• certain

• probable

• unlikely

• impossible

Multiple Choice

If you select a marble without looking, how likely is it that you will pick a black one?

• certain

• probable

• unlikely

• impossible

Multiple Choice

If you flip a coin, what is the probability that it will land on heads?

• 1/4

• 1/8

• 1/2

• 1/3

Multiple Choice

If you select a marble without looking, how likely is it that you will pick a black one?

• certain

• probable

• unlikely

• impossible

Multiple Choice

If you select a marble without looking, what is the probability that it will be blue?

• 1/3

• 2/5

• 1/6

• impossible

Multiple Choice

If you roll a 6-sided die, what is the probability of rolling a two?

• 2/6

• 1/6

• 1/3

• 1/5

Multiple Choice

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

• 5/6
• 1/2
• 1/3
• 1/6

Multiple Choice

What is the probability of selecting an orange candy?

• 0%
• 25%
• 50%
• 100%

Multiple Choice

The chart below represents the number of marbles in a jar.
P(green) = 

• 5/19
• 10/28
• 5/14

Multiple Choice

P(not A) = 
*Remember to simplify.*

• 6/8
• 3/4
• 2/8
• 1/4

Multiple Choice

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

• 3/10
• 3/9
• 1/9
• 1/3

Multiple Choice

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

• 3
• 1/10
• 3/10
• 30%

Multiple Choice

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?

• 2/18
• 1/9
• 2/20
• 1/10

Multiple Choice

What is the probability of rolling an even number on a dice. The dice is numbered 1-6.

• 3/6
• 1/2
• 1/6
• 5/6

Multiple Choice

Based on the chart, what is the probability of pulling a green marble?

• 1/8
• 8/25
• 8/100
• 7/8

Multiple Choice

A bag has 3 red marbles, 2 blue and 4 yellow. What is the probability of pulling a red?

• 3/10
• 3/9
• 1/9
• 1/3

Multiple Select

What is the probability of spinning a 2 on the spinner?

• 1/2

• 1/3

• 1/8

• 1/4

Multiple Choice

A bag of marbles contains 5 red, 7 purple, and 3 blue marbles. If one marble is chosen at random, what is the probability that the marble is NOT blue?

• 4/5
• 1/5
• 3/5
• 2/5

Multiple Choice

Mutually exclusive events are those that

• happen at the same time

• cannot happen at the same time

Multiple Choice

If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a 3 are mutually exclusive.

• True

• False

Multiple Choice

If events A and B are mutually exclusive, what is P(A and B)?

• 0.50

• 0

• 1

• 0.75

Multiple Choice

A day of the week is chosen at random. What is the probability of choosing a Monday or Tuesday?

• 1/7

• 2/14

• 2/7

• None of the above

Multiple Choice

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are mutually exclusive.

• True

• False

Multiple Choice

When rolling a single die, the events of rolling an even number and rolling a 5 are mutually exclusive.

• True

• False

Multiple Choice

There are 20 roses in a vase. 12 are red roses, 5 are yellow roses and 3 are white roses. Felix takes a rose, at random, from the vase.

What is the probability of him choosing a yellow rose or a white one?

• $$\frac{12}{20}$$

• $$\frac{2}{5}$$

• $$\frac{2}{3}$$

• $$\frac{5}{12}$$

Multiple Choice

There are 12 red roses, 5 yellow roses and 3 white roses in a vase. Felix takes a rose, at random, from the vase.

What is the probability of him choosing a red or a white rose?

• $$\frac{3}{4}$$

• $$\frac{8}{20}$$

• $$\frac{8}{12}$$

• $$\frac{5}{12}$$

Multiple Choice

If P(A) = 0.25, P(B) = 0.50, and P(A or B) = 0.65, are the events A and B mutually exclusive?

• Yes since P(A or B) = 0

• No since P(A) + P(B) $$\ne$$  P(A or B)

• Yes since P(A) + P(B) = 0.75

• No since P(A and B) is not gven

Multiple Choice

In a landfill, there is a 27% chance that a piece of trash is recyclable plastic, a 54% chance that the item is biodegradable, and a 9% chance that the item is neither of these things. Pick of piece of trash at random. What is the probability that it is recyclable plastic or biodegradable?

• 81%

• 21%

• 54%

• 63%

Multiple Choice

In a pet store, there are 6 puppies, 4 kittens, and 7 parakeets. If a pet is chosen at random, what is the probability of choosing a puppy or a parakeet?

• 11/17

• 13/17

• 10/17

• None of the above

Multiple Choice

The table show goals made by a soccer team along with the probability of each number occurring during a game. What is the probability that the team scores 3 or 4 goals?

• 0.11

• 0.46

• 0.13

• 0.31

Multiple Choice

If you roll one die, what is the probability of getting an odd number or a 4?

• 2/3
• 1/3
• 1/2
• 1/6

Multiple Choice

If a spinner is numbered 1 – 8, when you spin it the events of spinning an even number and a number less than 4 are

Look at the picture to visualize)

• Mutually Exclusive

• Not Mutually Exclusive

Multiple Choice

Danny has 20 total chocolates: 5 are milk chocolates, 10 are dark chocolates, and 5 are white chocolates.

What is the probability of getting a milk chocolate or a dark chocolate?

• 3/4

• 1/2

• 1/15

• 3/10

Multiple Choice

Edith plants a daffodil bulb. The probability that the bulb will grow is 0.8.

What is the probability that the bulb will not grow?

• 0.8

• 0.2

• 0.4

• 0.6

Multiple Choice

• 0.25

• 0.3

• 0.75

• 0.35

Multiple Choice

Find the probability of spinning a 3 or higher.

• 0.05

• 0.60

• 0.37

• 0.35

Multiple Choice

A raffle is being drawn for a hot air balloon ride. 700 tickets are sold and you buy 5. What is the probability that you DO NOT win?

• $$\frac{5}{700}$$

• $$\frac{695}{700}$$

• $$\frac{699}{700}$$

• $$\frac{1}{700}$$

Multiple Choice

You pick a marble from this bag. What is the probability you will choose either a solid black or solid white marble?

• 3/5
• 9/100
• 1/10
• 2/5

Multiple Choice

Given events such that P(A) = 0.63, P(B) = 0.21, and P(A or B) = 0.84. Are events A and B mutually exclusive or not?

• Mutually Exclusive

• Not Mutually Exclusive

Multiple Choice

Given events such that P(A) = 0.3, P(B) = 0.1, and P(A or B) = 0.03. Are events A and B mutually exclusive or not?

• Mutually Exclusive

• Not Mutually Exclusive

Multiple Choice

P(A) = 0.45 P(B) = 0.21 P(A and B) = 0.66 Are the events A and B Mutually Exclusive?

• Yes

• No

Multiple Choice

If you are picking a card randomly from a deck of cards, the events of picking a queen and picking a spade are mutually exclusive.

• True

• False

Multiple Choice

Given events such that P(A) = 0.35, P(B) = 0.45, and P(A or B) = 0.70. Are events A and B mutually exclusive or not?

• Mutually Exclusive

• Not Mutually Exclusive

Multiple Choice

There are 15 chocolates in a box. 5 are milk chocolates, 7 are dark chocolates, and 3 are white chocolates.

What is the probability of getting a milk chocolate or a white chocolate?

• 1/3

• 1/2

• 8/15

• 2/5

Match

Match the following

• A = Draw a Heart

  B = Draw a Jack

• A = Draw a Jack

  B = Draw Queen

• A = Eat pizza tonight

  B = Do Homework tonight

Not Mutually Exclusive

Jack of Hearts

Mutually Exclusive

Not Mutually Exclusive

• Not Mutually Exclusive

  Jack of Hearts

• Mutually Exclusive

• Not Mutually Exclusive

Multiple Choice

Rolling an odd number and rolling an even number on a normal six-sided die are

• Mutually exclusive

• Not mutually exclusive

Multiple Choice

Rolling a prime number and rolling an even number on a normal six-sided die are

• Mutually exclusive

• Not mutually exclusive

Multiple Choice

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are ...

• Mutually Exclusive

• Not Mutually Exclusive

Multiple Choice

If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a ‘3’ are ...

• Mutually Exclusive

• Not Mutually Exclusive

Multiple Choice

If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?

• 13/52
• 26/52
• 39/52
• Not possible

Multiple Choice

If you roll one die, what is the probability of getting an odd number or a 4?

• 2/3
• 1/3
• 1/2
• 1/6

Multiple Choice

If you roll one die, what is the probability of getting an even number or a multiple of 3?

• 1/3
• 2/3
• 1/2
• 1/6

Multiple Choice

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles.  You choose one marble.   What is the probability of selecting a green or red marble?

• 8/15
• 6/11
• 3/4
• 2/3

Multiple Choice

Given events such that P(A) = 0.4, P(B) = 0.1, and P(A or B) = 0.5. Are events A and B mutually exclusive or not?

• Mutually Exclusive

• Not Mutually Exclusive

Multiple Choice

Given events such that P(A) = 0.25, P(B) = 0.24, and P(A or B) = 0.56. Are events A and B mutually exclusive or not?

• Mutually Exclusive

• Not Mutually Exclusive

Multiple Choice

1.     Events that do not have something in common are called _____________.

• mutually exclusive events

• not mutually exclusive events

• dependent events

• independent events

Multiple Choice

2. Which of the following are mutually exclusive events when a card is drawn at random from a standard deck of 52 cards?

• a 4 or a heart

• a 4 or a jack

• a 4 or a club

• a jack or a face card

Multiple Choice

3.     Which of the following are not mutually exclusive events when a fair die is rolled once?

• a 3 or a 6

• a 5 or an even number

• a 2 or a factor of 6

• a 6 or an odd number

Multiple Choice

4. All the following events are not mutually exclusive events EXCEPT:

• drawing an Ace or a King in a standard deck of card

• drawing a Queen or a Club in a standard deck of cards

• getting a 6 or an even number in rolling a six-sided die

• getting a prime number or an even number in rolling a six-sided die 

Multiple Choice

5. Which of these pairs of events shows a not mutually exclusive?

• Getting heads or tails on a single coin toss

• A number that is even number or numbers greater than 25 from the set of two-digit numbers from 10 to 99 inclusive

• A die rolling a number less than 5 and greater than 5

• Getting a royal card or an ace in a standard deck of cards

Multiple Choice

6. Getting a 6 or a number divisible by 3 when rolling a die

• MUTUALLY EXCLUSIVE EVENTS

• NOT MUTUALLY EXCLUSIVE EVENTS

Multiple Choice

7. Getting a Jack or an Ace when picking a card from a standard deck

• MUTUALLY EXCLUSIVE EVENTS

• NOT MUTUALLY EXCLUSIVE EVENTS

Multiple Choice

8. Selecting a blue or a red when picking a ball from a box that contains 10 blue balls and 15 red balls

• MUTUALLY EXCLUSIVE EVENTS

• NOT MUTUALLY EXCLUSIVE EVENTS

Multiple Choice

9. Selecting a letter A or a vowel from the word PROBABILITY

• MUTUALLY EXCLUSIVE EVENTS

• NOT MUTUALLY EXCLUSIVE EVENTS

Multiple Choice

10. Getting a head or tail when tossing a coin

• MUTUALLY EXCLUSIVE EVENTS

• NOT MUTUALLY EXCLUSIVE EVENTS

Multiple Choice

Two events with no common outcome are called ___ event.

• Mutually exclusive

• Not Mutually exclusive

• Intersection of events

• Union of events

Multiple Choice

1. If event A has elements {2, 4, 6, 8, 10} and events B has elements {5, 10 15}, then the two events are

• Mutually exclusive

• Not Mutually exclusive

• Union of events

• Intersection of events

Multiple Choice

If two events have at least one common outcome, then they are

• Mutually Exclusive

• Not mutually exclusive

• Union of events

• Intersection of events

Multiple Choice

If all possible outcomes in event A are also possible outcomes of event B, then the two events are

• Mutually exclusive

• Not mutually exclusive

• Union of events

• Intersection of events

Multiple Choice

If Event A contains all letters in the alphabet and event B contains all numbers from 1 – 20, then the two events are

• Mutually Exclusive

• Not mutually exclusive

• Union

• Intersection

Multiple Choice

A box contains 5 red balls, 7 yellow balls and 3 blue balls. If one ball is randomly picked, what is the probability that the ball is red or blue?

• $$\frac{5}{15}+\frac{3}{15}-\frac{10}{15}$$

• $$\frac{5}{15}+\frac{10}{15}$$

• $$\frac{5}{15}+\frac{3}{15}$$

• $$\frac{5}{15}+\frac{10}{15}-\frac{3}{15}$$

Multiple Choice

Which of the following is NOT a true statement?

• If the probability of an event is closer to 0%, then the event is more likely to

  happen

• The probability that an event will happen is from 0% to 100%

• The probability of an impossible event is 0%

• The probability of a certain event is 100%

Multiple Choice

Which of the following are mutually exclusive events when a card is drawn at random from a standard deck of 52 cards?

• Numbered 4 or a heart

• Numbered 4 or a diamond

• Numbered 4 or a jack

• A jack or a face card

Multiple Choice

All the following events are not mutually exclusive events EXCEPT:

• Drawing an ace or a king in a standard deck of cards

• Drawing a queen or a diamond in a standard deck of cards

• Getting a 6 or an even number in rolling a six-sided die

• Getting a multiple of 3 or an even number in rolling a six-sided die

Multiple Choice

If P(A) = $$\frac{3}{10}$$ , and P(B) = $$\frac{4}{10}$$ , and P(A or B) = $$\frac{7}{10}$$ then

• P(A $$\cap$$ B) = $$\frac{1}{10}$$

• P(A $$\cap$$ B) cannot be determined

• Events A and B are mutually exclusive

• Events A and B are not mutually exclusive

Multiple Choice

Perla plans to visit her grandmother next week. If she chooses a day of the week at random, what is the probability that she will choose Monday or Thursday?

• $$\frac{1}{7}$$

• $$\frac{1}{7\ }+\frac{1}{7}$$

• $$\frac{1}{5}$$

• $$\frac{2}{5}$$

Multiple Choice

If a coin is tossed once, what is the probability that the coin shows either head or tail?

• -1

• 0

• $$\frac{1}{2}$$

• 1

Multiple Choice

If a die is rolled once, what is the probability of obtaining an even number or a number greater than 4?

• $$\frac{2}{5}$$

• $$\frac{1}{2}$$

• $$\frac{2}{3}$$

• $$\frac{5}{6}$$

Multiple Choice

A bag contains 5 white marbles, 4 red marbles and 6 blue marbles.

Stella draws one marble at random from the bag. What is the probability that the drawn marble is either red or blue?

• $$\frac{2}{3}$$

• $$\frac{1}{3}$$

• $$\frac{2}{15}$$

• $$\frac{10}{15}$$

Open Ended

When can you say that the two events are mutually exclusive? (Type your answer)

Open Ended

When can you say that the two events are not mutually exclusive (type your answer)

Multiple Choice

What statement does the shaded region represent

• A or B
• Not A
• A and B
• Not B

Multiple Choice

What statement does the shaded region represent?

• A or B or both

• A and B

• A

• B

Multiple Choice

What does the shaded portion of the Venn diagram represent?

• Not p
• p or q
• p and q
• Not q

Multiple Choice

What does the shaded portion of the Venn diagram represent?

• Band and Art
• Only Art
• Band or Art
• Neither

Multiple Choice

Identify the shaded area...

• A

• B

• A'

• B'

Multiple Choice

Identify the shaded area...

• A

• B

• A'

• B'

Multiple Choice

Identify the shaded area...

• A

• B

• A'

• B'

Multiple Choice

Identify the shaded area...

• A

• B

• A'

• B'

Multiple Choice

Identify the shaded area...

• A∩B

• A∪B

• A'∩B'

• A'∪B'

Multiple Choice

Identify the shaded area...

• A∩B

• A∪B

• A'∩B'

• A'∪B'

Multiple Choice

Calculate P(B∩F)

• 12/31

• 25/31

• 6/31

• 21/31

Multiple Choice

Calculate P(B∪F)

• 12/31

• 25/31

• 6/31

• 21/31

Multiple Choice

Calculate P(B | F)

• 4/7

• 3/7

• 3/4

• 1/4

Multiple Choice

Calculate P(F | B)

• 4/7

• 3/7

• 3/4

• 1/4

Multiple Choice

Calculate P (H∪M)

• 11/60

• 13/60

• 19/60

• 43/60

Multiple Choice

Calculate P (H∩M)

• 11/60

• 13/60

• 19/60

• 43/60

Multiple Choice

Calculate P (H|M)

• 11/30

• 11/24

• 19/30

• 13/24

Multiple Choice

Calculate P (M|H)

• 11/30

• 11/24

• 19/30

• 13/24

Multiple Choice

Calculate P(L∩S)

• 7/25

• 47/50

• 7/12

• 14/37

Multiple Choice

Calculate P(L∪S)

• 7/25

• 47/50

• 7/12

• 14/37

Multiple Choice

Calculate P(L|S)

• 7/25

• 47/50

• 7/12

• 14/37

Multiple Choice

Calculate P(S|L)

• 7/25

• 47/50

• 7/12

• 14/37

Multiple Choice

What proportion of senior boys play football or wrestle?

• 9/143

• 12/143

• 18/143

• 39/143

Multiple Choice

How many senior boys play football but do not wrestle?

• 9
• 12
• 18
• 104

Multiple Choice

How many senior boys play neither sport?

• 9

• 104

• 30

• 39

Multiple Choice

What proportion of senior boys play football and wrestle?

• 9/143

• 21/143

• 30/143

• 39/143

Multiple Choice

What does the shaded portion of the Venn diagram represent?

• Not p
• p or q
• p and q
• Not q

Multiple Choice

What does the shaded portion of the Venn diagram represent?

• Band and Art
• Only Art
• Band or Art
• Neither

Multiple Choice

What is P(Foreign language | Sport)? (Remember to reduce the fraction!)

• 14/27

• 7/12

• 23/47

• 37/47

Multiple Choice

What is the probability that the person picked will be a boy given they speak german? 

• .7273
• .4
• .16
• .22

Multiple Choice

What is the probability that they speak French given that they are a girl? 

• 2.14
• .24
• .4
• .8571

Multiple Choice

What percentage of the days that it rained, did they forecast no rain?

• About 20%
• About 18%
• About 14%
• About 12%

Multiple Choice

What is the symbol for union?

• $$\cup$$

• $$\cap$$

• $$\subset$$

• $$\subseteq$$

Multiple Choice

What is the symbol for intersection?

• $$\cup$$

• $$\cap$$

• $$\subset$$

• $$\subseteq$$

Multiple Choice

How do you read this notation? A U B

• A union B

• A intersection B

• A is a subset of B

• A is a proper subset of B

Multiple Choice

How do you read this notation? X $$\cap$$  Y ?

• X intersection Y

• X union Y

• X is a subset of Y

• X is a proper subset of Y

Multiple Choice

A = { m, a, t, h, s} B = { l, o , v, e, s } What is A U B?

• { s }

• { }

• { m }

• { m , a, t. h, l, o, v, e, s }

Multiple Choice

Based on the given set, what are the elements in set A only?

• { 1, 2, 3 }

• { 4, 5, 6 }

• { 7,8, 9 }

• { }

Multiple Choice

What are the elements in Both set A and set B? Or elements in set A that are also elements in set B?

• { 1, 2, 3 }

• { 4, 5, 6 }

• { 7, 8, 9 }

• { }

Multiple Choice

What are the elements in set B only?

• { }

• { 7, 8, 9 }

• { 1, 2, 3 }

• {4, 5, 6 }

Multiple Choice

What are the elements in  A  $$\cap$$  B  $$\cap$$  C ?

• { a }

• { b }

• { c }

• { z }

Multiple Choice

What is B U C ?

• { b, c, x }

• { a, w, b }

• { a, y, c }

• { w , x, y, z }

Multiple Choice

If you draw out a red marble, keep it, then draw out a blue marble, is it independent or dependent probability?

• Independent

• Dependent

Multiple Choice

If you flip a coin two times, is it independent or dependent probability?

• Independent

• Dependent

Multiple Choice

If you flip a coin then roll a number cube, is it independent or dependent probability?

• Independent

• Dependent

Multiple Choice

Dependent probability happens when the first item is not replaced, causing the total outcomes to decrease by 1.

• true

• false

Multiple Choice

Independent probability happens when the probability of the first event does not affect the probability of the second event.

• True

• False

Multiple Choice

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

• 1/3
• 1/2
• 1/6
• 1/4

Multiple Choice

What is the probability of tossing a coin four times and getting tails each time?

• 1/16
• 1/8
• 1/2
• 1/4

Multiple Choice

A coin is tossed and a number cube is rolled. Find the probability,  P(heads and 7).

• 1/14
• 1/2
• 0
• 1/7

Multiple Choice

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

• 1/4
• 2/3
• 3/10
• 3/5

Multiple Choice

There are 4 white marbles, 6 red marbles, and 2 blue marbles. Once a marble is selected, it is not replaced. Find the probability of selecting 2 blue marbles.

• 1/2
• 1/36
• 1/6
• 1/66

Multiple Choice

If you spin two times, what is the probability of landing on green both times? (leave answer in fraction form in lowest terms)

• 1/6

• 1/9

• 1/36

• 1/30

Multiple Choice

What is the probability of picking a red marble and keeping it, picking another red marble and keeping it, then picking a blue marble? (leave answer in fraction form in lowest terms)

• 2/105

• 4/343

• 2/63

• 4/210

Multiple Choice

A quiz contains 5 true or false questions. If you forgot to study and do not know the answer to them and guess, what is the probability of getting all 5 of them correct? (leave answer in fraction form in lowest terms)

• 1/60

• 1/32

• 1/2

• 1/6

Multiple Choice

You are playing a game of scrabble. The tiles shown are dropped in a bag. You need to choose two tiles. What is the probability of choosing an "E", keeping it, and then choosing a "H"?

• 4/15

• 1/70

• 1/75

• 1/225

Multiple Choice

CHECKERS In a game of checkers, there are 12 red game pieces and 12 black game pieces. Julio is setting up the board to begin playing. What is the probability that the first piece is red and the second piece is black?

• 1/12

• 6/23

• 1/144

• 1/72

Multiple Choice

Inger keeps her white and black chess pieces in separate bags. For each color, there are 8 pawns, 2 rooks, 2 bishops, 2 knights, 1 queen, and 1 king. Are the events of drawing a knight from the bag of white pieces and drawing a pawn from the bag of black pieces dependent or independent events? Find the probability of this compound event.

• Independent; drawing a piece from one bag does not affect the pieces in the other bag; 1/16

• Dependent, drawing a piece from a bag affects the pieces in the other bag; 1/16

• Independent; drawing a piece from one bag does not affect the pieces in the other bag; 1/4

• Dependent, drawing a piece from a bag affects the pieces in the other bag; 1/4

Multiple Choice

Inger keeps her white and black chess pieces in separate bags. For each color, there are 8 pawns, 2 rooks, 2 bishops, 2 knights, 1 queen, and 1 king. Are the events of drawing a bishop from the bag of white pieces and then drawing the queen from the same bag dependent or independent events? Find the probability of this compound event.

• Independent; once a bishop is drawn, there are the same pieces in the bag from which to choose the second piece. 1/120

• Dependent; once a bishop is drawn, there are fewer pieces in the bag from which to choose the second piece; 1/128

• Independent; once a bishop is drawn, there are the same pieces in the bag from which to choose the second piece. 1/128

• Dependent; once a bishop is drawn, there are fewer pieces in the bag from which to choose the second piece; 1/120

Multiple Choice

Inger keeps her white and black chess pieces in separate bags. For each color, there are 8 pawns, 2 rooks, 2 bishops, 2 knights, 1 queen, and 1 king. Find the probability of drawing a pawn, a knight, and another pawn from the bag of white pieces.

• 1/256

• 1/144

• 1/30

• 1/120

Multiple Choice

Each spinner is spun. Find the probability of P(A and 2)

• 1/15

• 1/5

• 1/10

• 1/6

Multiple Choice

Each spinner is spun. Find the probability of P(vowel and even)

• 1/15

• 1/5

• 1/10

• 1/6

Multiple Choice

There are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find P(red and then yellow)

• 1/5

• 1/10

• 1/15

• 1/20

Multiple Choice

here are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find P(three ted marbles)

• 1/5

• 1/10

• 1/15

• 1/20

Multiple Choice

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

• 1/36

• 2/51

• 4/81

• 1/27

Multiple Choice

Two socks are drawn from a drawer which contains one red sock, three blue socks, two black socks, and two green socks. Once a sock is selected, it is not replaced. Find P(a black sock and then a green sock)

• 1/4

• 1/2

• 1/16

• 1/14

Multiple Choice

There are three quarters, five dimes, and twelve pennies in a bag. Once a coin is drawn from the bag, it is not replaced. If two coins are drawn at random, find P(two pennies)

• 9/25

• 33/100

• 33/95

• 3/5

Multiple Choice

There are three quarters, five dimes, and twelve pennies in a bag. Once a coin is drawn from the bag, it is not replaced. If two coins are drawn at random, find P(dime, quarter then a penny)

• 1/76

• 1/4

• 3/114

• 1/2

Multiple Choice

How many ways can you arrange the letters in the word TEAMWORK?

• 80

• 8!

• 800

• 8

Multiple Choice

Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice.  What is the probability that it lands on red first and then blue?

• Independent
• Dependent

Multiple Choice

Is the event DEPENDENT or INDEPENDENT? Two fair coins are flipped at the same time. What is the probability that both with display heads?

• Independent

• Dependent

Multiple Choice

You want to roll the die and get an even number. Then you want to spin the spinner and get an odd number. Are these independent or dependent compound events?

• independent

• dependent

Multiple Choice

You want to draw a heart and then draw another heart.

You draw the first card, look at it, put it back in the deck and draw another card. Are these independent or dependent compound events?

• dependent

• independent

Multiple Choice

You want to draw two aces. You draw one card, look at it, keep it out and draw another card. Are these independent or dependent compound events?

• independent

• dependent

Multiple Choice

What is the probability of drawing a card and getting a queen, putting the card back, shuffling the pile and drawing a king?

• 1/13

• 2/13

• 1/169

• 2/169

Multiple Choice

What is the probability of choosing a red card, keeping it out and choosing another red card?

• 1/17

• 1/16

• 1/4

• 1/2

Multiple Choice

You have these number tiles in a bag. What is the probability of drawing a 0, putting it back in the bag and drawing a 0 again?

• 1/10

• 1/20

• 1/5

• 1/100

Multiple Choice

What is the probability of choosing a red marble from this bag, keeping it out, then choosing another red marble?

• 10/21

• 5/7

• 25/49

• 20/42

Multiple Choice

100 people are trying out to be contestants on a game show. You and 5 of your family members are part of this group. What is the probability that someone from your family is chosen first and then another member of your family is chosen?

• 1/400

• 1/330

• 9/2500

• 1/20

Multiple Choice

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

• 1/3
• 1/2
• 1/6
• 1/4

Multiple Choice

What is the probability of tossing a coin four times and getting tails each time?

• 1/16
• 1/8
• 1/2
• 1/4

Multiple Choice

A coin is tossed and a number cube is rolled. Find the probability,  P(heads and 7).

• 1/14
• 1/2
• 0
• 1/7

Multiple Choice

A number cube is rolled and a coin is tossed. What is the probability of rolling a number greater than 4 and tossing tails?

• 1/6
• 1/3
• 1/2
• 1/4

Multiple Choice

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

• 1/4
• 2/3
• 3/10
• 3/5

Multiple Choice

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

• 1/9
• 1/27
• 1/6
• 2/9

Multiple Choice

When randomly drawing from a standard deck of 52 playing cards, what is the probability of drawing a 9 four times in a row if the cards are not replaced?

• 1/5,525
• 1/270,725
• 1/28,561
• 1/4

Multiple Choice

In a standard deck of 52 cards, what is the probability of drawing one ace after another ace on two draws (no replacing)?

• 1/221
• 1/4
• 1/169
• 1/13

Multiple Choice

There are 4 white marbles, 6 red marbles, and 2 blue marbles. Once a marble is selected, it is not replaced. Find the probability of selecting 2 blue marbles.

• 1/2
• 1/36
• 1/6
• 1/66

Multiple Choice

Given a standard deck of 52 playing cards, what is the probability of randomly drawing a 2 and then a 3 if the first card is not replaced?

• 1/13
• 4/663
• 1/676
• 1/169

Multiple Choice

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination
• permutation
• neither

Multiple Choice

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

• combination
• permutation
• neither

Multiple Choice

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

• combination
• permutation
• neither

Multiple Choice

Which of the following is an example of combination?

• Form a passcode with 4 digits
• Students line up in a queue to assembly
• Choose 4 students in a class committee
• Choose the chairperson, secretary and treasurer in a club

Multiple Choice

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination
• permutation
• neither

Multiple Choice

Permutation, combination, or neither?
You have 4 framed portraits. How many ways can you arrange all 4 of them on the top of your bookshelf?

• combination
• permutation
• neither

Multiple Choice

What is the value of 8!

• 40320
• 36
• 362880
• 5040

Multiple Choice

Picking two paint colors for your room.

• Permutation

• Combination

• Neither

Multiple Choice

Nate is on a 7-day vacation.  He plans to spend one day jet skiing and one day golfing.  How many ways can Nate schedule these 2 activities?

• 13
• 42
• 14

Multiple Choice

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

• 18
• 120
• 36

Multiple Choice

How many ways can you choose a manager and assistant from a 9-person task force?

• 81
• 18
• 72

Multiple Choice

How would you solve?
From the 20 DVD's you purchased this past year, you plan to take five with you on vacation.  How many different sets of five DVD's can you take?

• Permutation
• Combination
• Factorial
• MPC

Multiple Choice

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 90
• 100
• 12
• 24

Multiple Choice

Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.

• 625
• 4.36 X 10¹⁰
• 1,081,575

Multiple Choice

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.

• 272
• 4080
• 680

Multiple Choice

How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?

• 672
• 40
• 6720

Multiple Choice

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination
• permutation
• neither

Multiple Choice

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

• combination
• permutation
• neither

Multiple Choice

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

• combination
• permutation
• neither

Multiple Choice

Which of the following is an example of combination?

• Form a passcode with 4 digits
• Students line up in a queue to assembly
• Choose 4 students in a class committee
• Choose the chairperson, secretary and treasurer in a club

Multiple Choice

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination
• permutation
• neither

Multiple Choice

Permutation, combination, or neither?
You have 4 framed portraits. How many ways can you arrange all 4 of them on the top of your bookshelf?

• combination
• permutation
• neither

Multiple Choice

What is the value of 8!

• 40320
• 36
• 362880
• 5040

Multiple Choice

Picking two paint colors for your room.

• Permutation

• Combination

• Neither

Multiple Choice

Nate is on a 7-day vacation.  He plans to spend one day jet skiing and one day golfing.  How many ways can Nate schedule these 2 activities?

• 13
• 42
• 14

Multiple Choice

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

• 18
• 120
• 36

Multiple Choice

How many ways can you choose a manager and assistant from a 9-person task force?

• 81
• 18
• 72

Multiple Choice

How would you solve?
From the 20 DVD's you purchased this past year, you plan to take five with you on vacation.  How many different sets of five DVD's can you take?

• Permutation
• Combination
• Factorial
• MPC

Multiple Choice

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 90
• 100
• 12
• 24

Multiple Choice

Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.

• 625
• 4.36 X 10¹⁰
• 1,081,575

Multiple Choice

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.

• 272
• 4080
• 680

Multiple Choice

How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?

• 672
• 40
• 6720

Permutations and Combinations

Ask questions if you need assistance

Multiple Select

Determine whether the question would be a permutation or combination: Five students from 90 will be selected to count ballots for the Class President election. How many groups of 5 students could be selected to count ballots?

• Permutation

• Combination

• Neither

Multiple Choice

If all items chosen are treated the same it is a ....

• Comparision
• Permutation
• Combination
• Position

Multiple Choice

If all items chosen are treated differently it is a ...  

• Comparision
• Permutation
• Combination
• Position

Multiple Choice

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination
• permutation
• neither

Multiple Choice

The number of dinosaur models that a museum needs to make from 4 types of dinosaurs and 2 colors.

• Permutation
• Combination
• Neither

Multiple Choice

What does ₁₀P₅ mean?

• Permutations with 5 choices and 10 positions
• Permutations with 10 choices and 5 positions
• Permutations with 5 numbers and 10 operations
• Permutations with 5 hot dogs and 10 drinks

Multiple Choice

Is the order of arrangement important?
Find the number of ways to form a team of three players for a game out of a group of 10 individuals.

• Yes
• No

Multiple Choice

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination
• Permutation

Multiple Choice

In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?

• 40320
• 1
• 64
• 8

Multiple Choice

The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?

• 720
• 120
• 10!

Multiple Choice

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

• 8
• 64
• 8!
• 56

Multiple Choice

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 90
• 100
• 12
• 24

Multiple Choice

A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84
• 504
• 9!
• 3!

Multiple Choice

How many ways can you arrange 2 letters from the word
S Q U A R E?

• 30
• 140
• 320
• 45

Multiple Choice

Student council has 24 members.  In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?  

• 5,100,480
• 0
• 42,504
• 5.17 x 10²¹

Multiple Choice

A team of 17 volleyball players needs to choose three players to refill the water cooler.  How many different ways can the players be chosen?  

• 3360
• 560
• 4080
• 680

Multiple Choice

Find the possibilities when a group of 15 people are going to run a race.  The top 5 finishers advance to the finals.

• 1.3 x 10¹²
• 120
• 3003
• 360,360

Multiple Choice

Ten students in your math class are presenting unique proofs to their classmates.  The order in which the proofs are chosen to be presented is random.   Find the probability that the proof using the HL Theorem is chosen first and your proof on CPCTC Theorem is chosen to go second.  

• 1/10
• 1/10!
• 4/5
• 1/90

Multiple Choice

Your history teacher randomly chooses 2 out of 18 students to give an impromptu debate on freedom of press in the high school news paper.  What is the probability that both you and your best friend are chosen to give the debate?  

• 1/153
• 1/306
• 2/153
• 40/51

Multiple Choice

When does the order in which you are choose matter?

• Combination
• Permutation

Multiple Choice

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination
• Permutation

Multiple Choice

How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0?

• 11,424,400
• 10,967,424
• 9000
• 90,000

Multiple Choice

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation
• Combination
• Neither

Multiple Choice

Ambry must submit 4 paintings as part of her
application to art school. If she has 25 to choose from, how many ways can she pick 4?

• 12,650
• 303,600
• 100
• 254

Multiple Choice

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462
• 55440
• 55
• 1000

Multiple Choice

Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

• 1
• 3628800
• 100
• 1814400

Multiple Choice

The Nebraska license plate has 6 characters, each one filled with a number (0-9) or a letter. How many license plates are possible?

• 36
• 2176782336
• 60
• 1402410240

Multiple Choice

Justin took a quiz with five multiple choice (A-D) and five true/false questions. How many different ways can he answer the questions?

• 1024
• 32
• 32768
• 25

Multiple Choice

Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?

• 720
• 36
• 100
• 500

Multiple Choice

If Lucas owns 11 hoodies,how many ways can he choose four to bring on vacation?

• 44
• 7920
• 330
• 121

Multiple Choice

How many different arrangements can be made from COLLEGE?

• 28

• 720

• 5040

• 35280

Multiple Choice

There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor.

What is the probability that the committee is made up of 3 women and 1 man?

• 2/91

• 1/20

• 3/16

• 36/91

Multiple Choice

You are dealt 5 cards from a standard deck of playing cards. What is the probability you are dealt a flush?

**A flush is all 5 cards of the same suit (order does not matter).

• 1/1287

• 1/2598960

• 1287/2598960

• 5/52

Multiple Choice

The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?

• 720
• 120
• 10!

Multiple Choice

An election ballot asks voters to select three city commissioners from a group of six candidates.  In how many ways can this be done?

• 6!
• 120
• 20
• 3!

Multiple Choice

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

• 8
• 64
• 8!
• 56

Multiple Choice

Robin has five different pairs of shoes that match with 6 different pairs of socks.  How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

• 1
• 30
• 5!
• 6!

Multiple Choice

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462
• 55440
• 55
• 1000

Multiple Choice

Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

• 1
• 3628800
• 100
• 1814400

Multiple Choice

There are 14 candy bars for sale. How many ways can Andy choose five of them?

• 240240
• 2002
• 87178291200
• 70

Multiple Choice

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

• 5

• 3125

• 120

• 25

Multiple Choice

How many outcomes are there with tossing a coin and rolling a dice?

• 2
• 6
• 12
• 24

Multiple Choice

Which shows the sample space for flipping two coins?

• H, T
• HH, HT, TH, TT
• HH, TT
• Dime, Nickel

Multiple Choice

Tree diagrams are useful because...

• they are cool to draw.
• they show you pictures of the food.
• they show you all possible outcomes.
• they only show you the best choices.

Multiple Choice

Experimental Probability is:

• What will happen
• What actually happened
• What should happen
• What I think will happen

Multiple Choice

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

• 5/11
• 40%
• 1/3
• 5

Multiple Choice

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

• 5/11
• 40%
• 1/3
• 5

Multiple Choice

How do you write 0.02 as a percent?

• 20%
• 200%
• 2%
• .02%

Multiple Choice

P(not A) = 

• 6/8
• 3/4
• 2/8
• 1/4

Multiple Choice

A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?

• 30%
• 3/9
• 1/4
• 25%

Multiple Choice

List the possible outcomes in the sample space for flipping a coin.  

• heads
• tails
• heads and tails
• 1,2,3,4,5,6

Multiple Choice

How many total outfit options are represented?

• 12
• 22
• 3

Multiple Choice

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10