Question

Hey can you please help me posted picture of question

Answer 1

The statement is true.

P(A|B) is the probability of occurrence of event A, provided that(given that) event B has already occurred.

This is known as conditional probability. In conditional probability, the event on right side of the vertical bar (which is B in this case) is given to have already occurred (either we assume this, or some evidence is given about this) and we calculate the probability of event on left of the vertical bar (which is A in this case) based on this information. The formula of condition probability is:

$P(A|B)= \frac{P(A*B)}{P(B)}$ 

P(A*B) indicates the probability of intersection of event A and B.

So the correct answer is TRUE.