Q5 of 249 Page 31

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).

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)


More from this chapter

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3

If A and B are two events such that P (A ∩ B) = 0.32 and P (B) = 0.5, find P (A/B).

 4

If P (A) = 0.4, P (B) = 0.8, P (B/A) = 0.6. Find P (A/B) and P (A ∪ B).

 5

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)

 5

If A and B are two events such that

P (A)= 7/13, P (B)=9/13 and P(A ∩ B)=4/13, find P (A/B).