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# Consider the experiment of tossing a fair coin three times. A sample point for this experiment must indicate the result of each toss.

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}.

(a) Compute P(H1), P(H2), and P(H3).

(b) Compute P(H1∩H2) and P(H1∩H2∩H3).

(c) Are the events H1, H2, and H3 mutually independent?

a) The events favorable to H1 are {HHH, HHT , HTH ,HTT} P(H1) = favorable events / total... View the full answer

(a) P( H1 ) = 4/8 = 0.5 P( H2 ) = 4/8 = 0.5 P( H3... View the full answer

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