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THE PROBABILITY of simultaneous occurrences of events for which the individual rate of occurrence is known can be determined by the well-known binomial law. This law states that if n events have each a probability or rate of occurrence p, then the probabilities that 0, 1, 2, 3, etc., of the n events occur simultaneously, are given by the consecutive terms of the binomial function p + (1 − p)n.
Adler et al. (Tue,) studied this question.