Monday, December 21, 2009

A box contains 80 balls numbered from 1 to 80. If 8 balls are drawn with replacement, what is the probability?

A box contains 80 balls numbered from 1 to 80. If 8 balls are drawn with replacement, what is the probability that at least two of them have the same number?A box contains 80 balls numbered from 1 to 80. If 8 balls are drawn with replacement, what is the probability?
the probability that at least two of them are the same is equal to one minus the probability that they are all different.





the probability that they are all different is:





80P8 / 80^8 = .696645675





the complement of this is .303354324
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