Conditional Probability

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

Tags

CCSS.HSS.CP.A.4

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

Find P( Full-time | Male)

• 7/3

• 3/10

• 3/7

• 4/7

Tags

CCSS.HSS.CP.A.4

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

Find P( Female | Part-time) =

• 15/31

• 43/71

• 31/43

• 15/43

Tags

CCSS.HSS.CP.A.4

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

Tags

CCSS.HSS.CP.A.4

What is P(two blues)?

• 50%

• 26.7%

• 15.2%

• 53.3%

What is P(Red given blue)?

• 50%

• 26.7%

• 57.1%

• 46.7%

The probability that a certain person will buy a shirt is 0.2, the probability that he will buy a coat is 0.3 and the probability that he will buy a shirt given that he buys a coat is 0.4. Find the probability that he will buy both a

shirt and a coat.

• 0.1

• 0.2

• 0.13

• 0.12