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Assessment: Lesson 12-1

Total questions: 70

Worksheet time: 7hrs 19mins

Name
Class
Date
1.

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

a)

Mutually Exclusive

b)

Not Mutually Exclusive

2.
If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?
a)

1/4

b)

1/2

c)

3/4

d)

Not possible

3.

When rolling a single die, the events of rolling an even and an odd number are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

4.
If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?
a)

1/26

b)

1/13

c)

4/13

d)

1/2

5.
Two cards are drawn from a deck of 52 cards. What is the probability that the first card drawn is a king and the second card drawn is a heart, given that the first card is replaced?
a)

1/26

b)

1

c)

1/4

d)

1/52

6.
Two fair coins are tossed. What is the probability of getting at most one head? (Hint: Create a sample space)
a)
1/2
b)
3/4
c)
1/4
d)
1
7.
Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?
a)
1/3
b)
1/2
c)
1/6
d)
1/4
8.
What is the probability of tossing a coin four times and getting tails each time?
a)
1/16
b)
1/8
c)
1/2
d)
1/4
9.
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.
a)
1/2
b)
1/36
c)
1/6
d)
1/66
10.

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

a)

Mutually Exclusive

b)

Not Mutually Exclusive

11.

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

a)

Mutually Exclusive

b)

Not Mutually Exclusive

12.

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

a)

Mutually Exclusive

b)

Not Mutually Exclusive

13.

When rolling a single die, the events of rolling an odd number and rolling a prime are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

14.

When rolling a single die, the events of rolling an even and an odd number are ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

15.

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 ...

a)

Mutually Exclusive

b)

Not Mutually Exclusive

16.
If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?
a)

1/4

b)

1/2

c)

3/4

d)

Not possible

17.
If you roll one die, what is the probability of getting an odd number or a 4?
a)
2/3
b)
1/3
c)
1/2
d)
1/6
18.
If you roll one die, what is the probability of getting an even number or a multiple of 3?
a)
1/3
b)
2/3
c)
1/2
d)
1/6
19.
Which of the following shows how to determine P(shaded number or number less than five)?
a)
4/8 + 4/8 - 2/8
b)
4/9 + 2/8 - 4/8
c)
4/8 + 6/8 + 2/8
d)
2/8 + 4/8 - 4/8
20.

The chance of rolling a 2 is 1/6. What is the chance of not rolling a 2?

a)

2/6

b)

1/6

c)

5/6

d)

Not possible

21.
If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?
a)

1/26

b)

1/13

c)

4/13

d)

1/2

22.
A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles.  You choose two marbles.   What is the probability of selecting a two yellow marbles?
a)
25/84
b)
1/19
c)
10/23
d)
1/3
23.
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?
a)
8/15
b)
6/11
c)
3/4
d)
2/3
24.
The outcome of one event does not influence the outcome of the other event.
a)
independent event
b)
tree diagram
c)
simple event
d)
odds
25.
The outcome of one event does influence the outcome of the other event.
a)
mutually exclusive event
b)
probability
c)
dependent event
d)
simple probability
26.
Which event is not a dependent event?
a)
Picking 2 students to each be line leader and door holder from a group of 20 students
b)
Picking 2 marbles from a bag without replacing the first marble
c)
Picking 2 crayons from a box at the same time (simultaneously) 
d)
Picking an earring, replacing it, then picking a 2nd earring
27.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.
a)
3/20
b)
1/4
c)
3/31
d)
2/27
28.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. Find P(orange,green)
a)
1/15
b)
2/15
c)
3/31
d)
1/5
29.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.  Find P(both marbles are purple).
a)
2/9
b)
1/3
c)
1/2
d)
1/4
30.
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. Find P(purple then black)
a)
1/18
b)
2/5
c)
3/7
d)
4/9
31.
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.  Find
P(black then white).
a)
2/45
b)
3/7
c)
1/18
d)
2/19
32.
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.  Find
P(2 whites)
a)
2/15
b)
3/17
c)
4/19
d)
5/19
33.
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.  Find
P(white, then purple, then black)
a)
1/36
b)
2/39
c)
5/41
d)
6/43
34.
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.  Find
P(3 whites)
a)
1/30
b)
2/37
c)
1/41
d)
2/18
35.
There are 6 nickels and 7 dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket, then you randomly pick another coin. What is the probability that both times the coin is a nickel.
a)
36/169
b)
5/26
c)
5/16
d)
3/19
36.
A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. What is the probability that both pieces of fruit are apples.
a)
2/15
b)
3/17
c)
1/19
d)
6/21
37.
There are seven nickels and six dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. What is the probability that the first coin is a nickel and the second coin is a dime.
a)
7/26
b)
3/19
c)
10/21
d)
18/35
38.
There are seven boys and seven girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question. What is the probability that the first student is a boy and the second student is a girl.
a)
7/26
b)
1/2
c)
2/17
d)
8/29
39.
A bag contains four red marbles and eight blue marbles. Another bag contains six green marbles and six yellow marbles. You randomly pick one marble from each bag.What is the probability that one marble is blue and one marble is yellow.
a)
1/3
b)
8/15
c)
3/17
d)
8/13
40.
There are 15 boys in a class with 14 girls. Find the probability of selecting a girl then a boy.
a)
15/58
b)
18/33
c)
2/29
d)
1/29
41.
There are 40 ants total in a mans collection. He has 22 fire ants, 13 sugar ants and 5 carpenter ants. Find the probability of selecting a carpenter ant, and then a fire ant. 
a)
11/156
b)
30/121
c)
18/51
d)
9/137
42.
There are 20 boxes to pick from a UPS driver. There are 10 rectangle boxes, 3 cylindrical  boxes, and 7 cubed boxes. Find the probability of selecting a rectangular box and then a cubed box.
a)
7/38
b)
19/22
c)
21/32
d)
8/37
43.
Find the probability of selecting a black checker from a bag of 6 black and 4 red checkers, replacing it and selecting another black. 
a)
9/25
b)
1/4
c)
2/23
d)
3/41
44.
What is the probability that of rolling a six on a 6 sided cube and then rolling an odd number.
a)
1/12
b)
3/4
c)
1/8
d)
2/9
45.
Find the probability of flipping a heads on a coin and then getting the color yellow on a spinner with 6 colors. 
a)
1/12
b)
2/9
c)
3/7
d)
7/19
46.
There are 4 black marbles and 2 white marbles in a bag.  What is the probability of choosing a black marble, not replacing it and then choosing white.
a)
4/15
b)
3/17
c)
2/5
d)
2/19
47.
There are 15 men and 17 women voting today. What is the probability you will meet a male voter, then a female voter?
a)
255/992
b)
132/898
c)
144/789
d)
214/569
48.
Jim picks a diamond out of a deck of cards, replaces it and gets a diamond again. What is the probability this happened. (There are 13 diamonds, and 52 cards in a deck)
a)
1/16
b)
2/13
c)
4/17
d)
1/21
49.
Sam has 13 computers, 6 are working and 7 are not. What is the probability of getting a working computer the first time you pick one, and then one that does not work. 
a)
7/26
b)
6/13
c)
4/19
d)
2/21
50.
Lilly is choosing flowers for her mom, and they are randomly selected. There are 14 roses, 15, sunflowers, and 1 azalea. What is the probability of her getting an azalea, then a rose?
a)
7/435
b)
1/257
c)
5/581
d)
2/321
51.
Find the probability of drawing a red checker from a bag of 9 black and 6 red, replacing it and then drawing another red.
a)
4/25
b)
2/27
c)
3/43
d)
9/22
52.
There are 4 butterscotch, 6 milk chocolates and 3 fireballs in a bag. What is the probability of getting a butterscotch, then a fireball, and lastly a chocolate, without replacement. 
a)
6/143
b)
2/119
c)
3/214
d)
9/217
53.
Randy has 4 pennies, 3 nickels, and 3 dimes in his pocket. If he randomly chooses 2 coins without replacement, what is the probability they are both dimes. 
a)
1/15
b)
2/27
c)
3/19
d)
4/21
54.
Jane has 3 white shirts and 4 blue shirts. What is the probability,  she wears a white shirt day one and a blue shirt day two?
a)
2/7
b)
3/7
c)
8/7
d)
1/7
55.
Clara picks a card at random, puts it back, and then picks another card at random.
a)
Independent
b)
Dependent
56.
Pablo chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.
a)
Independent
b)
Dependent
57.
Christopher picks a marble at random. Without putting the first marble back, he picks a second marble at random.
a)
Independent 
b)
Dependent
58.
Jackson pulls a coin out of his pocket and places it on the table. Then he reaches back into his pocket and takes out a second coin.
a)
Dependent
b)
Independent
59.
Clare picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
60.
Clara brings a box of donuts to work that contains one donut in each flavor. First the secretary chooses one, then the office manager makes a selection.
a)
Dependent
b)
Independent
61.
Allie downloads a song from an online service. A few minutes later, a customer in another city searches for a song on the same site.
a)
Dependent
b)
Independent
62.
Reid picks a card at random, without putting the first card back, he picks a second card at random.
a)
Dependent
b)
Independent
63.
During P.E. class, one team is picking softball gloves from the class bucket. Lindsey chooses a glove first, followed by Megan.
a)
Dependent
b)
Independent
64.

The probability of David passing his driving test is 0.7. What is the probability of David failing the test?

a)

0.7

b)

0.3

c)

0

d)

1

65.

A box contains 3 red, 2 green and 5 white balls which are identical except for their colours. A ball is drawn from the box at random. Find the probability that the ball drawn is not a red ball.

a)

1/2

b)

3/10

c)

2/10

d)

7/10

66.

How likely are you to NOT roll a 1 on a regular die? (Complement)

a)

P' = 2/6

b)

P' = 3/6

c)

P' = 5/6

d)

P' = 1/6

67.

P(NOT even) =

a)

5/7

b)

1/7

c)

2/7

d)

4/7

68.

Drew has 5 black T-shirts, 2 purple T-shirts, and 1 orange T-shirt.


P(NOT white) =

a)

25%

b)

100%

c)

0%

d)

50%

69.

Drew has 5 black T-shirts, 2 purple T-shirts, and 1 orange T-shirt.


P(white) =

a)

25%

b)

100%

c)

0%

d)

50%

70.

What is the complement of flipping a coin 20 times and landing on heads 11 times?

a)

P' = 1/10

b)

P' = 11/20

c)

P' = 9/20

d)

P' = 10/20