Coin Tossing. When a balanced dime is tossed three times, eight equally likely outcomes are possible:

HHH HTH THH TTH HHT HTT THT TTT Let A = event the first toss is heads, B = event the third toss is tails, and C = event the total number of heads is 1.

a. Compute P(A), P(B), and P(C).

b. Compute P(B | A).

c. Are A and B independent events? Explain your answer.

d. Compute P(C | A).

e. Are A and C independent events? Explain your answer.