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

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5 votes

Answer:

Joint probability of A and B is 0.3

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 ..

User Charlie OConor
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