Q. 1035.0( 1 Vote )

State True or Fal

Answer :


Let A, B,C denotes occurrence of events A,B and C and A’,B’ and C’ not occurrence.

As, P(A) = P(B) = P(C) = p

And P(A’) = P(B’) = P(C’) = p

P (At least two of A, B, C occur) = P(A B C’) + P(A B’ C) + P(A’ B C)

events are independent:

P (At least two of A, B, C occur) = P(A)P(B)P(C’) + P(A)P(B’)P(C)+P(A’)P(B)P(C) = 3p2(1-p) = 3p2 – p3

Hence, statement is true.

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