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ACT Probability Practice 2

Total questions: 11

Worksheet time: 6mins

Name
Class
Date
1.

Events A and B are independent. P(A) = 26% and P(B)=42%. What is P(A and B)?

a)

68%

b)

34%

c)

26%

d)

16%

e)

11%

2.

Events A and B are independent. P(A) = 0.7 and P(B) = 0.4. What is P(A and B)?

a)

0.3

b)

0.28

c)

0.72

d)

1.1

e)

0.55

3.

Events A and B and dependent. P(A) = 15%, and P(B|A)=60%. What is P(A and B)?

a)

75%

b)

45%

c)

38%

d)

9%

e)

90%

4.

Choose the statement below that is true about the given quantities.

a)

The number in Column A is greater.

b)

The number in Column B is greater.

c)

The two numbers are equal.

d)

The relationship cannot be determined from the given information.

5.

Choose the statement below that is true about the given quantities.

a)

The number in Column A is greater.

b)

The number in Column B is greater.

c)

The two numbers are equal.

d)

The relationship cannot be determined from the given information.

6.

A card is randomly selected from a standard deck of 52 cards. What is the probability that it is a 10 or a diamond?

a)

0.504

b)

0.430

c)

0.405

d)

0.285

e)

0.308

7.

When two fair coins are tossed, there are four possible outcomes. What is the probability that at least one tail is tossed?

a)

 38\frac{3}{8}  

b)

 18\frac{1}{8}  

c)

 12\frac{1}{2}  

d)

 14\frac{1}{4}  

e)

 34\frac{3}{4}  

8.

If P(A) = 0.4, P(B) = 0.18, and P(A and B) = 0.2, what is P(A or B)?

a)

0.38

b)

0.42

c)

0.56

d)

0.58

e)

0.61

9.

Events A and B and dependent. P(A) = 40%, and P(B|A)=30%. What is P(A and B)?

a)

73%

b)

10%

c)

12%

d)

53%

e)

24%

10.

To win a state lottery, a player must correctly select six different numbers from 1 to 45. How many tickets would a person have to buy to have a 1% chance of winning?

a)

at least 81,451

b)

at least 8,145

c)

at least 814,506

d)

at least 815

e)

at least 81

11.

If P(A) = 0.7, P(B) = 0.4, and P(A or B) = 0.8, what is P(A and B)?

a)

0.3

b)

0.4

c)

0.5

d)

0.8

e)

0.6