Basic Conditional Probability Multiplication Rule

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

• True

• False

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

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 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.

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

Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 

• 27/40

• 1.48

• .008

• .0593

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

• .2

• .2222

• .10

• .5

Find P( Full-time | Male)

• 7/3

• 3/10

• 3/7

• 4/7

Find P( Female | Part-time) =

• 15/31

• 43/71

• 31/43

• 15/43

Given the following VENN Diagram answer the following.
P( A | B )

• 2

• .4

• .6

• .8