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If 40 students are asked to pick a number between 1 and 55, what is the probability at least two will choose the same number?

Mathematics
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no. of ways that each people select a number = 55 no. of ways that each 40 people choose different number = 55P40 probability that each people choose different number = P(A) = 55P40 / 55^40 probability that at least two will choose the same = P'(A) = 1 - ( 55P40) / (55^40)
thanks that was correct
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