Math miscellaneousHard
Question
A and B are events such that P(A ∪ B) = 3 / 4, P(A ∩ B) = 1/ 4, P(
) = 2/3 then P( ∪ B) is
) = 2/3 then P( ∪ B) isOptions
A.5/12
B.3/8
C.5/8
D.1/4
Solution
P(A ∪ B) = P(A) + P(B) - P(A ∩ B) ⇒ 
= 1 - P(
) + P(B) -
⇒ 1 = 1 -
+ P(B) ⇒ P(B) = ; Now,P(
∩ B) = P(B) - P(A ∩ B) = 
= 1 - P() + P(B) -⇒ 1 = 1 -
+ P(B) ⇒ P(B) = ; Now,P( ∩ B) = P(B) - P(A ∩ B) = Create a free account to view solution
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