What is the probability of exactly 3 heads in 5 coin flips?

Probability result

31.25%

The probability of exactly 3 successes is 31.25%.

For a fair coin, the chance of heads on each flip is 1/2. The binomial model counts how many 5-flip sequences contain exactly 3 heads and 2 tails.

Worked steps

Show your work

1. Inputs: trials = 5, target successes = 3, p = 0.5, event = exactly.
2. Formula: P(X = k) = C(n, k)p^k(1-p)^(n-k).
3. Substitute: use C(5, k) with p = 1/2 and 1-p = 1/2.
4. Steps: evaluate the binomial term for X = 3 and combine them.
5. Result: The probability of exactly 3 successes is 31.25%.