Given n events A
1, A
2, · ··, An
, bounds are obtained for the probability of the occurrence of at least m out of the n events. The bounds are linear in terms of S
1 and S
2 where S
1 = Σi P(Ai
) and S2
= Σ
i<j
Ρ (Α i
,Α j
). The bounds are illustrated with an example. For m = 1 the bounds are the same as the best known linear bounds in terms of S
1 and S
2.
Given n events A1, A2, · ··, An, bounds are obtained for the probability of the occurrence of at least m out of the n events. The bounds are linear in terms of S1 and S2 where S1 = Σi P(Ai) and S2 = Σi<jΡ (Α i,Α j). The bounds are illustrated with an example. For m = 1 the bounds are the same as the best known linear bounds in terms of S1 and S2.
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