Conditional Probability and Multiplication Rule

Given the following VENN Diagram answer the following

P( B | A )

• .4

• .25

• .5

• .67

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

A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds an AA, given they hold a Visa.

• .0267

• 37.5

• .02

• .3333

P(Sandals|Pants):

• 4/20

• 6/15

• 1/2

• 2/7

The weather forecaster predicted it will be 4/5 chance of rain for Monday and 2/3 chance of rain for Tuesday. What is the probability it will rain both days?

• 1/2

• 20/15

• 8/15

• 6/8

A jar contains black and white marbles. Two marbles are chosen without replacement. The probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. What is the probability of selecting a white marble on the second draw, given that the first marble drawn was black?

• 16%

• 1.38%

• 72.3%

• Not enough information