3. A fair coin is tossed four times, and the sequence of heads and tails is observed. a) List each of the 16 sequences in the sample space S. b) Let events A, B, C, and D be given by A = {at least 3 heads} B {at most 2 heads} C = D = {1 head and 3 tails} Suppose each outcome in S has the sample chance of occurrence. Find P(A) P(An B) P(B) (i) (ii) (iii) {heads on the third toss}

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