Calculadora de Probabilidad Binomial Gratis

Calcula probabilidades binomiales para un número fijo de ensayos con probabilidad de éxito constante.

P(X = k)

0.11718750

Expected Value (np)5.0000
Desviación Estándar1.5811

P(X = k) vs Number of Trials (n)

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Fórmula

## How to Calculate Binomial Probability ### Formula **P(X = k) = C(n,k) * p^k * (1-p)^(n-k)** The binomial distribution models the number of successes in n independent trials, each with the same probability p. C(n,k) counts the number of ways to arrange k successes among n trials. The mean is np and the variance is np(1-p).

Ejemplo Resuelto

Flip a fair coin 10 times. What is the probability of exactly 3 heads?

  1. 01C(10,3) = 10! / (3! * 7!) = 120
  2. 02p^k = 0.5^3 = 0.125
  3. 03(1-p)^(n-k) = 0.5^7 = 0.0078125
  4. 04P(X=3) = 120 * 0.125 * 0.0078125 = 0.1171875
  5. 05Expected value = 10 * 0.5 = 5