Question: When a balanced quarter is tossed three times, eight equally likely outcomes are possible:

HHH HTH THH TTH

HHT HTT THT TTT

Let

A = event the second toss is tails,

B = event the third toss is heads, and

C = event the total number of tails is two.

(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.