Two events A and B will be independent, if - Vidyadip

Question

Two events A and B will be independent, if

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Answer

Two events A and B will be independent, then $P(A\cap{B}) =P(A).P(B)$

$P(A'\cap{B' })=P(AUB)' = 1- P(AUB) \\=1-P(A)-P(B)-P(A).P(B) \\=[1-P(A)][1-P(B)]=P(A').P(B')$

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