Conditional Probability

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.3

CCSS.HSS.CP.B.6

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.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

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.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.ID.B.5

P(A∣B)=

• P(A⋂B)/P(A)

• P(A⋂B)/P(B)

• P(A⋃B)/P(A)

• P(A⋃B)/P(B)

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

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

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

Given the following VENN Diagram answer the following.

P( A | B )

• 2

• .4

• .6

• .8

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.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

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

What is P(T given C)?

• 45%

• 29.6%

• 40%

• 33.3%

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

P(Sandals|Pants):

• 4/20
• 6/15
• 1/2
• 2/7

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.ID.B.5

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

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8