Suppose P (A) = 0.75 and P (B | A) = 0.40. What is the joint probability of A and B?

Joint probability of A and B is 0.3

Step-by-step explanation:

Since we are given the probability of event A and the conditional probability P (B given A)

The joint probability is the likelihood of two events occurring at the same time. The joint probability is written as:

A∩B for two events A and B

As we know that:

P ((B│A)) = (A∩B) / P (A)

We can use the above formula to calculate the joint probability of A and B.

Using the formula,

P (A∩B) = P (A) * P (B│A)

=0.75*0.40

=0.3

So the joint probability of A and B is 0.3 ...