Three fair coins are tossed and the following events are defined:

A: (Observe at least one head]

B: (Observe exactly two heads)

C: {Observe exactly two tails]

D: {Observe at most one head}

a. Sum the p~ohabilities of the appropriate sample points to find: P(A), P(B), P(C), P(D), QAnB), P(AnD), P(BnC), and P(BflD).

b. Use your answers to part a to calculate P(B~A), P(A I D), and P(CI B).

c. Which pairs of events, if any, are independent?

Why?