Conditional Probability Bayes

If you are in interested in the probability of an event X occurring dependent on whether a secondary event Y is true, you are looking for the...

• marginal probability

• conditional probability

• impendence

• sample probability

P(A∣B)=

• P(A⋂B)/P(A)

• P(A⋂B)/P(B)

• P(A⋃B)/P(A)

• P(A⋃B)/P(B)

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