If E 1 and E 2 are two events such that P(E 1 ) = 1/4, P(E 2 /E 1 ) =1/2 and P(E 1 / E 2…

Mathematics · JEE Advanced · NTA ExamsStatistics and Probability

If E1 and E2 are two events such that P(E1) = 1/4,
P(E2/E1) =1/2 and P(E1/ E2) = 1/4
  1. then E1 and E2 are independent
  2. E1 and E2 are exhaustive
  3. E2 is twice as likely to occur as E1
  4. Probabilities of the events E1 E2 , E1 and E2 are in G.P.

Answer

(A) then E 1 and E 2 are independent, (C) E 2 is twice as likely to occur as E 1, (D) Probabilities of the events E 1 ∩ E 2 , E 1 and E 2 are in G.P.

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