Answer to Question #256152 in Statistics and Probability for Yhadz

Question

The concept of conditional probability

Answer 1

The probability of occurrence of any event A when another event B in relation to A has already occurred is known as conditional probability. It is depicted by P(A|B).

When the intersection of two events happen, then the formula for conditional probability for the occurrence of two events is given by;

$P(A|B) =\frac{ n(A∩B)}{n(B)} \\\text{Or} \\P(B|A) =\frac{ n(A∩B)}{n(A)}$

Where P(A|B) represents the probability of occurrence of A given B has occurred.

P(B|A) represents the probability of occurrence of B given A has occurred.

n(A ∩ B) is the number of elements common to both A and B.

n(A) is the number of elements in A, and it cannot be equal to zero.

n(B) is the number of elements in B, and it cannot be equal to zero.