(Answered) Consider the experiment of tossing a fair coin three times

Statistics

Consider the experiment of tossing a fair coin three times. A sample point for this experiment must indicate the result of each toss. For example, HHT could indicate that two heads, then a tail were observed. Let Hi, where i=1,2,3, denote the event that the ith toss is head. For example, H1={HHH, HHT, HTH, HTT}.

Answer to the following questions with your explanation:

(a) Compute P(H1), P(H2), and P(H3).

(b) Compute P(H1∩H2) and P(H1∩H2∩H3).

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