Coin Flip Probability Calculator

Calculate the probability of getting a specific number of heads in multiple coin flips

Number of Flips:

Desired Number of Heads:

Probability of Heads (0 to 1, default 0.5 for fair coin):

P(exactly 5 heads): 24.6094%

Binomial Coefficient C(10,5): 252

Expected Heads: 5.00

Standard Deviation: 1.58

Variance: 2.50

This calculator uses the binomial probability formula to calculate the probability of getting exactly k heads in n flips.

Formula: P(X = k) = C(n,k) × p^k × (1-p)^(n-k)

For a fair coin, p = 0.5. You can adjust p for biased coins.