Q5 of 249 Page 31

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)

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 }


= (answer)


Now, = =


= (answer)


And = =


(answer)


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