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# A fair coin is tossed 15 times. What is the probability that exactly 3 heads occur?

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- PuzzlingLv 72 years agoFavorite Answer
Binomial probability formula:

P(X=k) = C(n,k) * p^k * q^(n-k)

n : number of trials (15)

k : number of successes (3)

p : probability of success (½)

q : probability of failure (½)

= C(15,3) * ½^3 * ½^12

= C(15,3) * ½^15

= 455/32768

≈ 0.0139

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