Q. 1015.0( 1 Vote )

State True or False for the statements in the Exercise.

If A and B are independent, then

P (exactly one of A, B occurs) = P(A)P(B′)+P(B) P(A′)

Answer :

TRUE

If A and B are independent events. It implies-


P(A B) = P(A)P(B)


P(A’ B) = P(A’)P(B)


And P(A B’) = P(A)P(B’)


P(exactly one of A, B occurs) = P(A’ B) + P(A B’)


P(exactly one of A, B occurs) = P(A’)P(B)+ P(A)P(B’)


Statement is true.


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