A coin is tossed successively three times. For the event E of getting exactly one head or exactly two heads, with sample space S (n denotes the number of outcomes):
(A) n(S) = 8 and n(E) = 4
(B) n(E) = 6 and n(S) = 8
(C) P(E) = 3/4
(D) P(E) = 1/2
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Correct answer: B. (B) and (C) Only
Explanation
n(S) = 2³ = 8. Exactly one head: 3 outcomes; exactly two heads: 3 outcomes, so n(E) = 6 and P(E) = 6/8 = 3/4.More Discrete Structures and Optimisation questions
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