Question

How do you solve binomial probability $?$

Answer 1

Solving binomial probability:

Binomial probability refers to the probability of exactly $x$ successes on $n$ repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).

If the probability of success on an individual trial is $p$ , then the binomial probability is ${}^{\mathbf{n}}\mathit{C}_{\mathbf{x}}\mathbf{}\mathbf{.}\mathbf{}{\mathit{p}}^{\mathbf{x}}\mathbf{}\mathbf{.}\mathbf{}{\left(1-p\right)}^{\mathbf{n}\mathbf{-}\mathbf{x}}$

Where , $n$is no of experiments

If $p$ is the probability of success of a single trial, then $(1-p)$ is the probability of failure of a single trial.

Hence, we can solve binomial probability by the formula ${}^{\mathbf{n}}\mathit{C}_{\mathbf{x}}\mathbf{}\mathbf{.}\mathbf{}{\mathit{p}}^{\mathbf{x}}\mathbf{}\mathbf{.}\mathbf{}{\left(1-p\right)}^{\mathbf{n}\mathbf{-}\mathbf{x}}$