GATE | GATE CS 1998 | Question 1

A die is rolled three times. The probability that exact one odd number turns up among the three outcomes is
(A) 1/6
(B) 3/8
(C) 1/8
(D) 1/2


Answer: (B)

Explanation: The question is an example of Binomial Experiment, with two possibilities-
Number is Even(E) or Number is odd(O).
P(E) = P(O) = \frac{1}{2}
P(\text{Exactly 1 Odd Number}) = C(3,1) * P(E)^2*P(O)^1 = \frac{3}{8}

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