If A and B are two events such that P (A) = 1/3, P (B)=1/4 and P(A ∪ B) = 5/12, find P (A/B) and P (B/A).

Question

Philoid · Accepted Answer

We have, P (A) = , P (B)= and P(A ∪ B) =

We have, P (A ∪ B) = P (A)+ P (B)- P (A ∩ B)

Therefore, P (A ∩ B) = P (A)+ P (B) - P (A ∪ B)

= )

= {Make denominator same by taking LCM)

= (Answer)

Now, = = )

= (answer)

And = = = (answer)