(2) Tim Duncan is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 70%, percent of the time. Event A = making the first free throw; B = making the second free throw. Then A and B are disjoint.

A. True

B. False

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(3) You have two coins - one is fair (P(H) = 1 / 2 ) and one is bent (P(H) = 1 / 3 ). You picked one coin at random and tossed it twice.

(a) What is the probability of observing two tails?

(b) Given that you observed two tails, what is the probability that this coin is the bent one?