Binomial Probability Calculator
Calculate the probability of exactly k successes in n independent Bernoulli trials with success probability p.
Published by:
isCalculator Editorial Team
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How to Use the Binomial Probability Calculator
This calculator computes the probability of exactly k successes in n independent trials, each with success probability p.
- Enter Number of Trials (n): A positive integer (e.g., 10).
- Enter Number of Successes (k): A non-negative integer ≤ n (e.g., 3).
- Enter Success Probability (p): A decimal between 0 and 1 (e.g., 0.5).
- Click "Calculate Probability": The result shows the probability P(X = k), the formula, and step-by-step calculations.
Note: All inputs are required. If k > n, an error message appears. The result is displayed with 6 decimal places.
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Frequently Asked Questions
Binomial probability is the probability of getting exactly k successes in n independent Bernoulli trials, each with success probability p.
The formula is P(X = k) = C(n,k) * p^k * (1-p)^(n-k), where C(n,k) is the binomial coefficient.
The trials must be independent, each trial has only two outcomes (success/failure), and the probability of success is constant across trials.
