For two events, A and B, P(A) = .4, P(B) = .2, and P(A

Chapter 3, Problem 50E

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QUESTION:

Problem 50E

For two events, A and B, P(A) = .4, P(B) = .2, and P(A|B) = .6:

a. Find P(A  B).

b. Find P(B|A).

Questions & Answers

QUESTION:

Problem 50E

For two events, A and B, P(A) = .4, P(B) = .2, and P(A|B) = .6:

a. Find P(A  B).

b. Find P(B|A).

ANSWER:

Solution :

Step 1 of 2:

Let A and B be the two events.

P(A) = 0.4, P(B) = 0.2, and P(AB) = 0.6.

Our goal is:

a). Find P(AB).

b). Find P(B/A).

a).

Now we have to find P(AB).

The P(AB) is

P(AB) = P(A/B)

Then,

P(AB) =

P(AB) =

Therefore P(AB) =.


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