We saw in Problem 419 that the probability of two genes having the same ancestor in the previous generation is 1/N. So the probability of two genes not having a common ancestor is 1 − 1/N. The probability of three genes not having the same ancestor is
Problem 419:
We saw in Problem 419 that the probability of two genes having the same ancestor in the previous generation is 1/N. So the probability of two genes not having a common ancestor is 1 − 1/N. The probability of three genes not having the same ancestor is
and hence the probability of N genes not having the same ancestor is
What is Pn for N = 10? Check your result through simulation.
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