For an event that occurs with probability p, this function returns the probability of an occurrence given n repetitions. p is numeric and can be a vector.
The number of times to repeat the event (independent)
The individual probability of the event happening
The probability of an event with the specified probability, after n repetitions
The probability that any event p occurs with n repetitions is equal to the
reciprocal of the probability that p never occurs. The probability that p
never occurs with n repetitions is
(1 - p) ^ n. Thus, the probability
that any event p occurs after n repetitions is
1 - ( (1 - p) ^ n ).
probability_any(1, 0.5)#>  0.5probability_any(2, 0.5)#>  0.75probability_any(2, c(0.5, 1/3, 0.25))#>  0.7500000 0.5555556 0.4375000