Conditional Probability

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

P(Sandals|Pants):

• 4/20

• 6/15

• 1/2

• 2/7

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

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

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

45% total of the children in a school have a dog, 30% total have a cat, and 18% have a dog and cat. What percent of those who have a cat also have a dog?

• 60%

• 40%

• 24%

• 1.7%

What is P(T given C)?

• 45%

• 29.6%

• 40%

• 33.3%

P(Pizza|Senior):

• 10/15

• 4/5

• 2/3

• 10/5