Q4 of 105 Page 538

Evaluate P(A ∪ B), if 2P(A) = P(B) = 5/13 and P(A|B) = 2/5.

Given: and

……….(i)


We know that


By definition of conditional probability,



⇒ P(A ∩ B) = P(A|B) P(B)


……….(ii)


Now, ∵ P(A * B) = P(A) + P(B) – P(A ∩ B)




More from this chapter

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2

Compute P(A|B), if P(B) = 0.5 and P (A ∩ B) = 0.32

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If P (A) = 0.8, P (B) = 0.5 and P (B|A) = 0.4, find

(i) P(A ∩ B) (ii) P(A|B) (iii) P(A ∪ B)

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If P(A) = 6/11 , P(B) = 5/11 and P(A ∪ B) = 7/11, find

(i) P(A∩B) (ii) P(A|B) (iii) P(B|A)

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A coin is tossed three times, where

(i) E : head on third toss, F : heads on first two tosses


(ii) E : at least two heads, F : at most two heads


(iii) E : at most two tails, F : at least one tail


Determine P(E|F)