Analytic Geometry - Probability Review

Analytic Geometry - Probability Review

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

Find the probability of drawing a 10 from a standard deck of 52 cards.

• 1 out of 52
• 13 out of 52
• 26 out of 52
• 4 out of 52

Multiple Choice

Mrs. Elder has a box containing 6 cracker, 3 peppermints, 6 bubble gums, and 3 licorice sticks. If she randomly chooses one piece from the box, what is the probability that she will grab a cracker or a peppermint?

• peppermint
• 1/6
• 1/2
• 1/3

Multiple Choice

Mrs. Moreno has a box containing 6 lipsticks, 4 eye shadows, 6 eye liners, and 5 mascaras. If she randomly chooses one item from the box, what is the probability that she will grab a lipstick?

• 3/7
• 15/21
• 5/7
• 6/21

Multiple Choice

The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel?

• 8/121
• 4/11
• 2/11
• 4/121

Multiple Choice

What is the probability of spinning green?

• 0
• 1/4
• 1/2
• 3/4

Multiple Choice

What is the probability of spinning red?

• 0
• 1/2
• 3/4
• 1

Multiple Choice

Find the probability of rolling a 7 on a single die.

• 1/6
• 7/6
• 0
• 7/7

Multiple Choice

Find the probability of rolling greater than a 1 on a single die.

• 6/6
• 5/6
• 4/6
• 1/6

Probability of an event with the word "or"

• Check to see if it is mutually exclusive - does it belong to one group or will it overlap

• If mutually exclusive P(A or B) = P(A) + P(B)

• If they overlap P(A or B) = P(A) + P(B) - P(A and B)

Multiple Choice

Which of the following shows how to determine P(diamond or face card)?

• 13/52 + 12/52 - 3/52
• 3/52 + 13/52 -12/52
• 3/52 + 12/52 - 13/52
• 1/13 + 3/52 - 1/4

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

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

• 2/52
• 4/52
• 16/52
• 26/52

Multiple Choice

Which of the following shows how to determine P(shaded number or number less than five)?

• 4/8 + 4/8 - 2/8
• 4/9 + 2/8 - 4/8
• 4/8 + 6/8 + 2/8
• 2/8 + 4/8 - 4/8

Multiple Choice

Danny has 20 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

When rolling a 6 sided die, what is the probability of rolling either an even number or a 5?

• 1/2

• 5/6

• 2/3

• 1/12

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 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 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

Probability of two events occuring: Probability of A and then B

• Determine if the Probability is Dependent or independent.

• Independent - the probability of one event occurring does not change the probability of another event occurring. ex: spinning a wheel or rolling a die, or picking a card and putting it back.

• Dependent- the probability of one event occurring effects the next event. Ex: picking a card and not putting it back

• Probability of A and then B = P(A) x P(B)

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

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

Des buys a pack of Starbursts that has 3 orange, 6 pink, 1 yellow, and 5 red Starbursts.  She puts the candy in the bowl.  If she reaches in and grabs two Starbursts without putting one back, what is the probability that she will pick a pink and then a yellow?

• 1/35
• 7/210
• 6/225
• 2/75

Multiple Choice

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)

• 1/36
• 2/39
• 5/41
• 6/43

Multiple Choice

Suppose two tiles are drawn from the collection shown. The first tile is  not replaced before the second tile is drawn. Find P(A and A)

• 4/225
• 1/105
• 3/71

Multiple Choice

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

• 1 ⁄ 6
• 1 ⁄ 8
• 1 ⁄ 2
• 1 ⁄ 12

Multiple Choice

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? (leave answer in fraction form in lowest terms)

• 1/12

• 1/4

• 1/8

• 1/2

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

Two-way Tables

• If there are any missing parts on your table, fill them in.

• Calculate your probabilities using your tables.

• You must calculate the total for every row and column.

Multiple Choice

What is the probability you select a person who would pick chocolate?

• .398
• .342
• .26
• .686

Multiple Choice

How many total people were surveyed about what ice cream flavor they would pick?

• 107
• 92
• 70
• 269

Multiple Choice

What percentage of males drive sports cars?

• 35%
• 16.25%
• 65%
• 25%

Multiple Choice

What percentage of the students have brown hair?

• 25%
• 60%
• 45%
• 50%

Multiple Choice

What percentage of girls have blonde hair?

• 30%
• 32%
• 29%
• 40%

Multiple Choice

How many males were surveyed?

• 77

• 15

• 150

• 52

Multiple Choice

How many females were surveyed?

• 45

• 73

• 16

• 12

Multiple Choice

How many people were surveyed? BE CAREFUL AND LOOK AT THE TABLE COMPLETELY.....MAYBE DRAW IT TOO....

• 52

• 60

• 240

• 77

Multiple Choice

Out of those surveyed, what is the probability that the student is a boy who can't bike to school (in simplest form)?

• 4/30
• 7/30
• 2/15
• 14/30

Multiple Choice

According to the table, what is the relative frequency of students ages 10 - 13 who eat breakfast?

• About 33%
• About 50%
• About 40%
• About 44%

Multiple Choice

What percentage of males drive sports cars?

• 35%

• 16.25%

• 65%

• 25%

Multiple Choice

What is the probability of picking a green marble, keeping it, then picking green again? (leave answer in fraction form in lowest terms)

• 1/7

• 1

• 1/49

• 0

Multiple Choice

Clinton has a bag of Skittles™. Inside the bag are 6 red, 4 orange, 7 yellow, 3 purple and 4 green Skittles™. What is the probability of drawing a green Skittle™, replacing it, and then drawing another green Skittle™?

• independent

• dependent

Multiple Choice

A pocket contains 3 pennies, 2 nickels, 1 quarter and 4 dimes. What is the probability of randomly choosing a dime, replacing it, and then drawing a penny?

• independent

• dependent

Multiple Choice

A bag contains 2 striped cubes, 5 dotted cubes, 5 white cubes and 3 red cubes. What is the probability of drawing two striped cubes in succession, without replacing the first cube drawn?

• independent

• dependent

Multiple Choice

A bag contains 2 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a white cube, not replacing it, and then drawing a dotted cube?

• dependent

• independent

Multiple Choice

A bag contains 5 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a red cube, replacing it, and then drawing a white cube?

• independent

• dependent

Conditional Probability

• Conditional probability is the probability that an event A occurs given that B has already occurred.

• P(A/B) means the probability that A occurs given than B occurs.

Multiple Choice

P(Pizza|Senior): the probability that pizza is chosen given that the student is a senior

• 10/15

• 4/5

• 2/3

• 10/5

Multiple Choice

P(Sandals|Pants):

• 4/20
• 6/15
• 1/2
• 2/7

Multiple Choice

Consider the following table with information about all of the students taking Statistics at Happy High School.

Find P( Female | Part-time) =

• 15/31

• 43/71

• 31/43

• 15/43

Multiple Choice

What is the probability that a student does play a sport given they do not play an instrument?

• 2-%

• 22%

• 10%

• 50%