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An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is

1. 0.067
2. 0.073
3. 0.082
4. 0.091

Correct answer: 0.082

Solution

The 4th head at the 10th toss means exactly 3 heads in the first 9 tosses and a head on the 10th: C(9,3)*(1/2)^9*(1/2)=84/1024=0.082. The stored 0.073 is incorrect. Answer: 0.082.

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