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Probability Test

Total questions: 37

Worksheet time: 1hrs 28mins

Name
Class
Date
1.
Dependent or Independent:
You flip a coin and then roll a fair six-sided die.  The coin lands heads-up and the die shows a one.
a)
Dependent
b)
Independent
2.
Clare picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
3.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
4.
How many outcomes? You can choose from 3 different meats and 3 different cheeses.
a)
9
b)
3
c)
6
d)
24
5.

What is the probability that a student does not play on a sports team?

a)

50%

b)

45%

c)

55%

d)

35%

6.

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

a)

210\frac{2}{10}

b)

29\frac{2}{9}

c)

110\frac{1}{10}

d)

12\frac{1}{2}

7.

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

a)

73%

b)

4%

c)

16%

d)

22%

8.

What is the probability of flipping a coin

3 times and getting 3 heads?

a)

1/8

b)

1/4

c)

1/2

d)

3/4

9.

The spinner is spun two times. Determine the probability of landing on red the first spin and on green the second spin .

a)

1/9

b)

1/10

c)

0

d)

1/12

10.

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?

a)

1/12

b)

1/4

c)

1/8

d)

1/2

11.

You roll two die.

What is the probability you will roll a 4, then roll a number less than 3?

a)

1/36

b)

1/18

c)

1/9

d)

1/6

12.
How many ways can 9 runners medal (Gold, Silver or Bronze) in a race?
a)
27
b)
84
c)
216
d)
504
13.
You have 15 milk chocolate Valentines and 10 dark chocolate Valentines.  What is the probability that the first Valentine handed out is milk chocolate and the second is dark chocolate.
a)
¼
b)
½
c)
⅖
d)
⅜
14.
Find the possibilities when a group of 15 people are going to run a race.  The top 5 finishers advance to the finals.
a)
1.3 x 1012
b)
120
c)
3003
d)
360,360
15.
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?
a)
12,650
b)
303,600
c)
100
d)
254
16.

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.

a)

True

b)

False

17.

If a spinner is numbered 1 – 8, when you spin it the events of spinning an odd number and spinning an 8 are mutually exclusive.

a)

True

b)

False

18.
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
19.

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

20.

What is the complement of it snowing 3 days out of the week?

a)

P' = 4/7

b)

P' = 2/7

c)

P' = 5/7

d)

P' = 3/7

21.

What is the complement of choosing a red marble if there are 8 red marbles in a jar of 15?

a)

P' = 3/15

b)

P' = 7/15

c)

P' = 8/15

d)

P' = 15/8

22.

A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza or steak?

P(pizza or steak)

a)

20%

b)

65%

c)

50%

d)

35%

23.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
24.
Which of the following situations is represented by this tree diagram?
a)
3 shirt options, 6 pants options, and 12 shoe options
b)
3 shirt options, 2 pants options, and 2 shoe options
c)
2 shirt options, 3 pants options, and 1 shoe option
25.

Which inequality represents the probability, x, of even happening? *Hint: A probability chance ranges between these what? Think of a complement*

a)

−1<x<0-1<x<0

b)

−1<x<1-1<x<1

c)

0≤x≤10\le x\le1

d)

0<x<10<x<1

26.

Does the following represent a probability solution?

a)

Yes, all the probabilities are greater than 0.

b)

No, the probabilities do not add up to 1

c)

No, the probabilities are not all equal

d)

Yes, none of the probabilities are greater than 1.

27.

Determine the probability of drawing 18 and a number less than 13

a)

 27\frac{2}{7}  

b)

 37\frac{3}{7}  

c)

 310\frac{3}{10}  

d)

 410\frac{4}{10}  

28.

Determine the probability of drawing an even number greater than 16

a)

 15\frac{1}{5}  

b)

 37\frac{3}{7}  

c)

 27\frac{2}{7}  

d)

 510\frac{5}{10}  

29.
a)

A

b)

B

c)

C

d)

D

30.
a)

A

b)

B

c)

C

d)

D

31.
a)

A

b)

B

c)

C

d)

D

32.
a)

A

b)

B

c)

C

d)

D

33.

Determine if the situation represents a permutation or a combination


Creating a 4 digit pin from 9 possible number

a)

Permutation

b)

Combination

c)

Neither

34.

Determine if the situation represents a permutation or a combination


Choose 3 snacks from a bag of 20 snacks

a)

Permutation

b)

Combination

c)

Neither

35.

Determine if the situation represents a permutation or a combination


Picking 3 of the best drawings out of 10 contestants

a)

Permutation

b)

Combination

c)

Neither

36.

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

a)

1/6

b)

1/7

c)

0

d)

7/6

37.

Which scenario represents the tree diagram?

a)

3 entrees, 2 drinks and 3 desserts -- 8 different combinations

b)

3 entrees, 3 drinks and 2 desserts -- 8 different combinations

c)

3 entrees, 3 drinks and 2 desserts -- 18 different combinations

d)

2 entrees, 3 drinks and 2 desserts -- 18 different combinations

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