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Sample Space and Theoretical Probability

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Which shows the sample space for flipping two coins?

a)

H, T

b)

HH, HT, TH, TT

c)

HH, TT

d)

Dime, Nickel

2.

How many outcomes when choosing a vowel (a, e, i, o, u) and then a number (2 or 6)?

a)

7

b)

5

c)

10

d)

12

3.

A fair coin is tossed three times. How many total outcomes are possible?

a)

8

b)

3

c)

6

d)

12

4.

What is the theoretical probability of getting 3 heads in flipping a coin three times?

a)

3/8

b)

1/2

c)

1/8

d)

1/4

5.
a)
Answer Choice A
b)
Answer Choice B
c)
Answer Choice C
d)
Answer Choice D
6.

What is the theoretical probability of rolling a 1 and then a prime number when rolling a fair number cube twice?

a)

1/6

b)

1/12

c)

1/8

d)

2/3

7.

A deck of ten cards have the numbers 1 through 10. Each card is replaced after the first one is drawn. Find the theoretical probability of getting an 8 and then a prime number after the first card is drawn.

a)

2/15

b)

3/50

c)

1/10

d)

1/25

8.

A bag contains 2 red, 3 green, 3 blue, 2 orange and 5 yellow marbles. Each marble is replaced after the first one is drawn. Find the theoretical probability of getting a green marble and then a red marble after. P (green, red)

a)

1/15

b)

5/75

c)

2/75

d)

1/25

9.

The spinner shown is spun twice. Find the theoretical probability that the two numbers have an even sum.

a)

1/3

b)

1/8

c)

1/2

d)

1/16

10.

The spinner shown is spun twice. Find the theoretical probability of having two even numbers.

a)

1/3

b)

1/8

c)

1/2

d)

1/16

11.

Candace is flipping a coin for a certain number of times. The theoretical probability of her flipping tails on all flips is 1/32. How many times is she flipping the coins?

a)

10

b)

5

c)

16

d)

32

12.

If you roll two dice, how many possible outcomes?

a)

360

b)

1

c)

36

d)

12

13.

The set of all the possible outcomes is called:

a)

Result

b)

Sample Space

c)

Probability

d)

Event

14.

Which shows the sample space for flipping two coins? 
H = heads, T = tails

a)

H, T

b)

HH, HT, TH, TT

c)

HH, TT

d)

HH, TT, TT, HH

15.

Three coins are tossed.  Use the Sample Space provided. What's the probability of flipping only one tails? 

a)

⅛

b)

1/4 

c)

⅓

d)

⅞

16.

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

a)

3/5

b)

4/10

c)

3/10

d)

6/10

17.

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

a)

5/11

b)

40%

c)

1/3

d)

5

18.

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

a)

30%

b)

3/9

c)

1/4

d)

25%

19.

P(not A) = 

a)

6/8

b)

3/4

c)

2/8

d)

1/4

20.

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the CORRECT Sample Space List of possible combinations?

a)

TW, CW, PW

b)

TW, TM, TC, CW, PW

c)

TW, TM, CW, CM, PW, PM

d)

TCP, MW