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Conditional Probability

Total questions: 10

Worksheet time: 16mins

Name
Class
Date
1.

True or false?

If two events are independent, the P(A|B) = P(B).

a)

True

b)

False

2.

If two events are independent, then  P(A and B)=P(A)×P(B)P\left(A\ and\ B\right)=P\left(A\right)\times P\left(B\right)  

a)

True

b)

False

3.

Classify the events as independent or dependent.

A ball is selected from a bin of balls numbered 1 through 10. It is replaced, and then a second ball is selected.

a)

independent events

b)

dependent events

4.

Use the Multiplication Rule to find the probability.

A coin is tossed and a die rolled.

Find the probability of tossing a tail and then rolling a number greater than 2.

a)

1/3

b)

1/2

c)

1/6

d)

1/4

5.

Worst President: In a sample of 1446 US voters, 188 said Nixon was the worst president since WWII. Three registered voters are selected at random. Find the probability that all 3 say Nixon is the worst president.

a)

0.002

b)

0.017

c)

0.390

d)

0.240

6.

Lottery Tickets: 49% of US adults have purchase a state lottery ticket in the past year. Of these 49%, about 27.5% have an income less than $36,000/year.

Find the probability that a randomly selected adult has purchase a lottery ticket and has an income less than $36,000.

a)

0.135

b)

0.765

c)

0.176

d)

0.240

7.

Surviving Surgery: A doctor gives a patient a 85% chance of surviving bypass surgery after a heart attack. Find the probability that a patient will not survive bypass surgery to the hundredths place.

(a)  

8.

Find the probability of tossing a coin 4 times and getting 4 heads.

Type your answer as a decimal rounded to the thousandths place.

(a)  

9.

Find the probability of selecting an ace of diamonds from a deck of 52 cards and then selecting a jack of diamonds without replacing the ace.

Type your answer as a decimal rounded to four decimal places (the ten-thousandths place).

(a)  

10.

A shipment of 250 netbooks contains 3 defective units. If a school purchases 3 of these netbooks, find the probability that the school will receive no defective units to the thousandths place.

(a)