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
View Solution FreeMore Math miscellaneous Questions
If f : R → R satisfies the equation f(x)f(y)- f(xy) = x + y ∀ x, y ∈R and f(1) > 0 then:...The coefficient of x13 in the expansion of (1 - x)5 (1 + x + x2 + x3)4 is :-...Let ƒ′ (x) = for all x ∈ with = 0. If m ≤dx ≤ M, then the possible values of m and M are...If (10)9 + 2(11)1 (10)8 + 3(11)2 (10)7+ ... + 10(11)9 = k(10)9, then k is equal to...Let P be the point (1,2,3) and Q be a point on the line . Then thevalue of λ for which line PQ is perpendicular to ...