Answer:
P(A/B) is called the CONDITIONAL PROBABILITY of occurring of event A when event B has already taken place.
![P(A/B) = (P(B/A) . P(A))/(P(B))](https://img.qammunity.org/2021/formulas/mathematics/high-school/f50px4anqulpdvbj2rt0hhc21vwo8ijqqp.png)
Explanation:
Let us assume there are two given events A and B.
The probability of A when B has occurred is given as P (A/B).
The probability of B when A has occurred is given as P (B/A)
Also, the probability of occurring A independently = P(A)
The probability of occurring B independently = P(B)
Now, the BAYES THEOREM gives us the exact formula to determine the CONDITIONAL PROBABILITY.
By Bayes Formula:
![P(A/B) = (P(B/A) . P(A))/(P(B))](https://img.qammunity.org/2021/formulas/mathematics/high-school/f50px4anqulpdvbj2rt0hhc21vwo8ijqqp.png)
Here, P(A/B) is called the CONDITIONAL PROBABILITY of occurring of event A when event B has already taken place.