Coin Flip Probability Calculator
Calculate the probability of getting a specific number of heads in a series of coin flips. Supports fair coins (50/50) and biased coins with any probability of heads.
Coin flip probability follows the binomial distribution, one of the most fundamental distributions in statistics. Each flip is an independent Bernoulli trial with two outcomes.
The Formula: P(X = k) = C(n, k) x p^k x (1-p)^(n-k), where n is the number of flips, k is the target number of heads, and p is the probability of heads on each flip. For a fair coin, p = 0.5.
Practical Applications: Coin flip probability is used in hypothesis testing (is this coin fair?), game theory, decision making, and as a foundation for understanding more complex probability distributions. The expected number of heads is n x p, and the standard deviation is the square root of n x p x (1-p).