Question

What is the formula for conditional probability?

Answer 1

Conditional probability:

The probability of happening of an event when another event relevant to the first event has already occurred is called conditional probability.

The probability of occurrence of any event $A$ when another event $B$ in relation to $A$ has already occurred is,

$\mathit{P}\left(A|B\right)\mathbf{=}\frac{\mathbf{P}\left(A\cap B\right)}{\mathbf{P}\left(B\right)}$

Hence,the formula for conditional probability is $\mathit{P}\left(A|B\right)\mathbf{=}\frac{\mathbf{P}\left(A\cap B\right)}{\mathbf{P}\left(B\right)}$