Question

Let A and B be events with P(A) = 0.74 , P(B) = 0.59 , and P(B | A) = 0.50 . Find P(A and B).

Answer 1

Answer:

P(A and B)  = 0.37

Step-by-step explanation:

Here, P(B) = 0.59

P(A)  = 0.74

P(B  I  A)  = 0.50

Now, if A and B are defined  two INDEPENDENT EVENTS, then:

$P(B/A) = \frac{P(A and B)}{P(A)} \\\implies 0.50 = \frac{P(A and B)}{0.74} \\\implies P(A and B) = (0.50) \times (0.74) = 0.37$

So, P(A and B)  = 0.37