Question

An unbiased coin is tossed until a head appears. The expected number of tosses required is

A 1 Correct Answer Incorrect Answer
B 2 Correct Answer Incorrect Answer
C 4 Correct Answer Incorrect Answer
D Correct Answer Incorrect Answer

Solution

Let X denote the number of tails tossed before the head appears. Then X is a geometric random variable. P(head) = 1 / 2 and the expectation is E(X)=1 / (1/2) = 2.

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