Let Ai,i= 1,2,· · ·, are events such thatP(Ai) = 1 for all i. Prove thatP(⋂∞i=1Ai)...

Question

Question

Let Ai,i= 1,2,· · ·, are events such thatP(Ai) = 1 for all i. Prove thatP(⋂∞i=1Ai) =1.

math Statistics-And-Probability

Answer 1

Answer #1

Ans. Let A_i ; i=1, 2,3,.... are events such that

P(A_i) = 1 for all i

i.e. all A_i are certain events which are equal to sample space s $Pin Ai$ . = P(s) = P(A_i) = 1

Answer 2

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