B
Binomial Probability Calculator
The chance of exactly, at most or at least k successes in n independent tries.
Result…
How it's calculated
P(X = k) = C(n, k) × p^k × (1 − p)^(n − k) mean = np, σ = √(np(1 − p))
The binomial distribution counts successes in a fixed number of independent trials that each have the same chance of success: heads in 10 tosses, defects in a batch. If the chance changes from trial to trial, or trials affect each other, it does not apply. Terms are computed in log space so large n stays accurate.
Your numbers, step by step
More in Statistics & Probability
σStandard deviationHow spread out your numbers are around their mean, for a sample or a whole population.Top 100 · #59Open →s²VarianceThe average squared distance of your numbers from their mean.Top 100 · #60Open →PProbabilityThe chances of both, either, or neither of two independent events happening.Top 100 · #61Open →nCrCombinationsHow many ways to choose r items from n when the order does not matter, exactly.Top 100 · #62Open →nPrPermutationsHow many ordered arrangements of r items can be taken from n, exactly.Top 100 · #63Open →CIConfidence intervalThe range that likely holds the true mean, from a sample mean, standard deviation and size.Top 100 · #64Open →