Probability Events and Independence

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

• .7273

• .8

• .55

• .2222

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).

• 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?

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).

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Let M represent the event of randomly selecting a male. Let S represent the event of randomly selecting a person that drives a SUV.

Determine if the events M and S are independent.

• Independent

• Not Independent

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 |Pass)

• 17/20

• 17/50

• 9/25

• 3/20

Find P(Y|P).

• 0.23

• 0.40

• 0.46

• 0.68