Independence Probability

Are the events "Sports" and "Community Service" independent?

• Yes, because P(S) is the same as P(S|CS).

• No, because P(S) is not the same as P(S|CS).

• Yes, because P(S) is the same as P(CS|S).

• No, because P(S) is not the same as P(CS|S).

Are the events "takes Spanish" and "participates in a club" independent events?

• Yes, because P(S) is the same as P(S|C).

• No, because P(S) is not the same as P(S|C).

• Yes, because P(S) is the same as P(C|S).

• No, because P(S) is not the same P(C|S).

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 they speak French given they are a girl? 

• 2.14

• .24

• .4

• .8571

What is the probability that a student does play a sport given they do not play an instrument? 

• .2

• .2222

• .10

• .5

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

• .7273

• .8

• .55

• .2222

P(Sandals|Pants):

• 4/20

• 6/15

• 1/2

• 2/7

• 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?

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

Find P(Sophomore |Pass)

• 17/20

• 17/50

• 9/25

• 3/20