1.

Show P[A]+P[A1 ]=1

Answer»

P(A) + P(A2 ) = 1. That is, the sum of probabilities of complementary events is 1.

Proof: We know that, Out of ‘n’ outcomes, if ‘m’ outcomes are favourableto event A, then the remaining (n-m) outcomes are favourable to event A1.

By definition P(A) = \(\frac{m}{n}\) and P(A2) = \(\frac{n-m}{n}\).



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