Let A1, A2, be arbitrary events in ((, A), and define Bm by Bm Am is the first event which occurs among the events A1, A2, , m yen 1 Then (i) Express Bm in terms of Ans, m yen 1 (ii) Show that B1, B2, are pair wise disjoint Bm U An m 1 n 1 3D

Question: Let A1, A2,... be arbitrary events in ((, A), and define Bm by: Bm = Am is the first event which occurs among the events

Let A1, A2,... be arbitrary events in ((, A), and define Bm by: Bm = "Am is the first event which occurs among the events A1, A2,...," m ‰¥ 1. Then
(i) Express Bm in terms of Ans, m ‰¥ 1.
(ii) Show that B1, B2,... are pair-wise disjoint.

Bm = U An- -m=1 n=1 %3D

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