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Probability Question

Posted By: Ray Kershaw
Date: Tuesday, 29 November 2011, at 10:06 a.m.

In Response To: Probability Question (David Startin)

Is there a simple answer to David's question: given a draw of 64, what is the probability that four specific players are each in a different quarter of the draw ?

I got as far as asking: what is the probability that in a draw of 4 two specific players are in different halves ?

There are 4x3x2 = 24 orders for the draw. By listing these, I see that the answer is 16/24 or 2/3.

I expect one of the resident mathematicians can provide a general and elegant solution.

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