Conditional Probability and Multiplication Rule

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

• .78

• .22

• .10

• .5

Consider the following table with information about all of the students taking Statistics at Happy High School.

Find P( Male given Full Time)

• 7/3

• 3/10

• 3/7

• 4/7

True or false?

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

• True

• False

• True

• False

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.

• independent events

• dependent events

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.

• 1/3

• 1/2

• 1/6

• 1/4