Let 0 P ( A ) P ( B ) P ( A ∪ B ) = P ( A ) + P ( B ) – P ( A ) P ( B ) then
Mathematics · JEE Advanced · NTA Exams — Statistics and Probability
Let 0 < P(A) < 1, 0 < P(B) < 1 and
P(A∪B) = P(A) + P(B) – P(A) P(B) then
P(A∪B) = P(A) + P(B) – P(A) P(B) then
- P(B/A) = P(B) – P(A)
- P(A′ – B′) = P(A′) – P(B′)
- P(A∪B)′ = P(A′) P(B′)
- P(A/B) = P(A).
Answer
(C) P ( A ∪ B ) ′ = P ( A ′ ) P ( B ′ )
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Mr. Dupont is a professional wine taster. When given a French wine, he will identify it with probability 0.9…
- Let X= (x, y) Z Z : x^ 2 8 + y^ 2 20 Three distinct points P , Q and R are randomly chosen from X . Then the…
- The probabilities of events, A ∩ B, A, B & A ∪ B are respectively in A.P. with probability of second term…
- There are four machines and it is known that exactly two of them are faulty. They are tested, one by one, in…
- A box B 1 contains 1 white ball, 3 red balls and 2 black balls. Another box B 2 contains 2 white balls, 3 red…
- Assume that the birth of a boy or girl to a couple to be equally likely, mutually exclusive, exhaustive and…
- Let U 1 and U 2 be two urns such that U 1 contains 3 white and 2 red balls, and U 2 contains only 1 white…
- Let S and T are two events defined on a sample space with probabilities P(S) = 0.5, P(T) = 0.69, P(S/T) = 0.5…
More Statistics and Probability questions · Browse all practice questions