Conditional Probability and Independence

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 the person picked will be a boy given they speak german? 

• .7273

• .4

• .16

• .22

What is the probability that a student plays on a sports team given they play an instrument?

• .7273

• .8

• .55

• .2222

• What is the probability of a student who does community service and does not play sports?

• What is the probability of a student who does community service given that they do not play sports?

• What is the probability of a student who does not play sports given that they do not do community service?

• What is the probability of a student who does not play sports or does not do community service?

Find P(Sophomore |Pass)

• 17/20

• 17/50

• 9/25

• 3/20

Find P(Y|P).

• 0.23

• 0.40

• 0.46

• 0.68

The probability that a woman likes the color blue is 10%. The probability of being a women is 40%. What is the probability that someone who likes blue is chosen given they are a woman? 

• 4

• .4

• .1

• .25

Determine if the events A and B are independent or dependent. P(A) = .36, P(B) = .20, P (A and B) = 0.072

• Dependent

• Independent

• Neither

Suppose the P(A) = .55, P(B) = .30 and P(A and B) = .12, find P(A or B).

• 0.85

• 0.165

• 0.12

• 0.73

Find P(Sophomore U Pass)

• 53/60

• 70/60

• 5/6