A coin is tossed successively three times. Find the Probability (P), Event (E), Sample space (S) of getting exactly one head or two heads, where n is number of occurrence.

(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

1. A(A), (B), (C) and (D)
2. B(B) and (C) Only
3. C(A) and (D) Only
4. D(C) and (D) Only

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Show answer & explanation

Correct answer: B. (B) and (C) Only

Explanation

Three tosses give 8 outcomes. Exactly one head: 3 outcomes; exactly two heads: 3 outcomes; so n(E) = 6, n(S) = 8 and P(E) = 6/8 = 3/4.