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Define a rational function (Posted on 2024-03-04) Difficulty: 3 of 5
You have coins C1, C2, · · · , Cn. For each k, coin Ck is biased so that, when tossed, it has probability 1/(2k + 1) of falling heads.

If the n coins are tossed, what is the probability that the number of heads is odd?

Express the answer as a rational function of n.

Source: Putnam 2001

  Submitted by Ady TZIDON    
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Solution: (Hide)
see Charlie’s program and Brian’s analytic proof.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionre: Analytic solution - proofBrian Smith2024-03-05 12:25:51
SolutionAnalytic solutionLarry2024-03-05 09:07:44
re: solution @ Ch & KSAdy TZIDON2024-03-04 21:00:01
Puzzle AnswerK Sengupta2024-03-04 20:14:13
SolutionsolutionCharlie2024-03-04 13:28:43
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