The probability of “at least one” is calculated by subtracting the probability of none from 1, and multiplying by the probability of success. This can be expressed mathematically as 1 – (1 – p)^n, where p is the probability of success and n is the number of trials.
The formula to find the probability of “at least one” success in a series of n trials is calculated as:
P(at least one success) = P(failure in a given trial)n
This calculator finds the probability of at least one success, given the probability of success in a single trial and the total number of trials.
P(at least one success) = 1 – P(failure in a given trial)n
P(at least one success) = 1 – (0.96)3
P(at least one success): 0.11526