Question

What is the difference between the Bayes theorem and conditional probability?

Answer 1

The difference between the Bayes theorem and conditional probability:

Conditional probability	Bayes theorem
The probability of occurrence of any event A when another event B in relation to A has already occurred is known as conditional probability.	Bayes theorem is a mathematical formula, which is used to determine the conditional probability of a given event.
The formula for conditional probability: when event $A$ is occurring while event $B$ has already occurred. $P\left(A|B\right)=\frac{P\left(A\cap B\right)}{P\left(B\right)}$	The formula for the Bayes theorem: when event $A$ is occurring while event $B$ has already occurred. $P\left(A|B\right)=\frac{P\left(B|A\right)·P\left(A\right)}{P\left(B\right)}$