The probability of $k$ successes among $n$ independent trials, each with equal probability of success, $p$, is: $\frac { n ! } { x ! ( n - x ) ! } p ^ { k } ( 1 - p ) ^ { n - k }$.

Question

Quizplus · Accepted Answer

This is the formula for the Binomial distribution, which describes the probability of a certain number of successes in a fixed number of independent trials with a constant probability of success.

The Probability Of kkk Successes Among nnn Independent Trials, Each with Equal Probability of Success

The Probability Of $k$ Successes Among $n$ Independent Trials, Each with Equal Probability of Success