🎲 Binomial Distribution Calculator
Calculate binomial probabilities P(X=k) for n trials with success probability p.
What is the Binomial Distribution?
The binomial distribution models the number of successes in n independent trials, each with probability p. The probability of exactly k successes is P(X=k) = C(n,k) · p^k · (1-p)^(n-k), where C(n,k) = n!/(k!(n-k)!) is the binomial coefficient. The mean is np and the standard deviation is √(np(1-p)).
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