If A and B are two events such that
P (A) = 6/11, P (B) = 5/11 and P ( A ∪ B) = 7/11, find P (A ∩ B), P (A/B), P (B/A)

Question

If A and B are two events such that P (A) = 6/11, P (B) = 5/11 and P ( A ∪ B) = 7/11, find P (A ∩ B), P (A/B), P (B/A)

Philoid · Accepted Answer

We have P (A) = 6/11, P (B) = 5/11 and P (A ∪ B) = 7/11

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

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

=

= { 11 is common in denominator }

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(answer)

If A and B are two events such thatP (A) = 6/11, P (B) = 5/11 and P ( A ∪ B) = 7/11, find P (A ∩ B), P (A/B), P (B/A)