Multiple choice

A fair coin is tossed five times. What is the probability of obtaining three heads and two tails?

  1. 1 4

  2. 9 32

  3. 11 16

  4. 5 16
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D Correct answer
Explanation

Using binomial probability: P(X=3) = 5C3 * (0.5)^3 * (0.5)^2 = 10 * (1/32) = 10/32 = 5/16.

AI explanation

Using the binomial probability formula, the probability of obtaining exactly three heads in five tosses of a fair coin is calculated as 5C3 times (1/2)^3 times (1/2)^2. Evaluating this gives 10 times 1/8 times 1/4, which equals 10/32 or 5/16. The probability is 5/16.

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