Let event A be "satisfied with one's marriage" and event B be "satisfied with one's job.The probability that someone is satisfied with both his marriage and his job is equal to:
A)p(A|B)
B)p(A,B)
C)p(B)p(A|B)
D)b and c

Question

Quizplus · Accepted Answer

The probability that someone is satisfied with both their marriage and job can be calculated using the conditional probability formula:

P(A and B) = P(A | B) * P(B)

This formula can be interpreted as the probability of A and B occurring together is equal to the probability of A occurring given that B has occurred, multiplied by the probability of B occurring.

So, both choices B and C are incorrect because they don't use the conditional probability formula correctly.

Option A is also incorrect because it asks for the probability of being satisfied with marriage given satisfaction with job, instead of asking for the probability of satisfaction with both.

Therefore, the correct answer is D, as it represents the correct formula to use.

Let Event a Be "Satisfied with One's Marriage" and Event