Re: Probability Problem

Lawrence D'Oliveiro <ldo@xxxxxxxxxxxxxxxxxxxxxxxxxxxx> wrote:

In article <mailman.4949.1145931967.27775.python-list@xxxxxxxxxx>,
Elliot Temple <curi@xxxxxxx> wrote:

Problem: Randomly generate 10 integers from 0-100 inclusive, and sum
them. Do that twice. What is the probability the two sums are 390 apart?

I think the sum would come close to a normal distribution.

Yes, very close indeed, by the law of large numbers.

However, very close (in a math course at least) doesn't get the cigar.

You can compute the requested answer exactly with no random number
generation whatsoever: compute the probability of each result from 0 to
1000, then sum the probabilities of entries that are exactly 390 apart.


Alex
.

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