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3. In each of the following experiments, write the sample space S, number of sample point n (S), events A, B and n(A), n(B). A coin is tossed three times. A is the event that head appears once, B is the event that head appears at the most twice.
Since a coin is tossed three times
∴
Sample space = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
∴ n(S) = 8
Let A = Event that the head appears once.
∴ A = {
HTT, THT, TTH
}
∴ n(A) = 3
Let B = Event that the head appears at the most twice
∴ B = {
HHT, HTH, HTT, THH, THT, TTH, TTT}
∴ n(B) = 7
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