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A couple more

Posted By: Bob Koca
Date: Monday, 9 May 2011, at 7:29 p.m.

In Response To: A couple more (Chuck Bower)

4) Ways to choose one person from each quadrant is 4 X 4 X 4 X 4 = 256

Ways to choose 4 is 16C4 = 1820

So 256/1820 = 64/455 (approx .1407)

Alternatively think P(1rst person you choose causes no conflict AND then 2nd person causes no conflict AND ...) = (1)(12/15)(8/14)(4/13)

5) Of the 1820 possible entries there are 1820 - 256 = 1564 entries that will be eliminated at the draw. So 1565 distinct entries guarantees at least one will be alive after the draw.

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