Question

the conditional probability P(B/A) is the probability the event B occurs given that event A has occurred. Which formula can be used to determine this conditional probability?

Answer 1

Answer:
`P(B/A)=(P(B\cap A))/(P(A)).`

Explanation: We know what is conditional probability. It is defined as follows -

Given any two events A and B, the conditional probability of B given A is defined as the probability of happening of event B with the condition that the event A has already occured.

Mathematically, it is written as P(B/A) and its formula is given by the quotient of the probability of the joint of events B and A to the probability of event A.

i.e,

`P(B/A)=(P(B\cap A))/(P(A)).`

This is the required formula.