Question

The likelihood that an event will occur given that another event has already occurred

Answer 1

probability is the answer

Explanation:

Answer 2

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))`

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))`

Here, P(A/B) is called the CONDITIONAL PROBABILITY of occurring of event A when event B has already taken place.