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What is the probability that at least 2 of the presidents of

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SVP
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What is the probability that at least 2 of the presidents of [#permalink] New post 05 Nov 2003, 13:19
What is the probability that at least 2 of the presidents of the United States
have died on the same day of the year? If you bet this has happened, would you win your bet?
SVP
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 [#permalink] New post 06 Nov 2003, 00:28
a pretty controvercial question, for it requires a lot of specific knowledge.

there have been 43 presidents, correct?
there are 365-366 days

P=1-P(all died in different days)

P(event) = 1-P(~event)

P(~event) is difficult to find. Total outcomes are 366^43. Favorable are 366*365*364*...*323

It is not a GMAT-like question. It would be more convenient to ask for the same day of a week.
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 [#permalink] New post 06 Nov 2003, 07:36
Draw a tree diagram. Two presidents so two events. for one president 365 days for each of these 365 there are again 365 days. so bottom is 365^2. Only on line from the tree will have same day like day1 and day1 or day21 and day21. so the probability is

365/365^2
1/365

I guess
  [#permalink] 06 Nov 2003, 07:36
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