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 In a bar (Posted on 2016-02-23)
N people roll a die in turn, following a prearranged list. The first to get a 6 names the drink. The second to get a 6 drinks it. The third, pays! Then the next on the list rolls and so on till the closing time.

The above goes on for 120 minutes, averaging 5 rolls per minute (the time for naming, drinking, plus settling disputes and paying the bills was discounted).

How many times was it the same player that named the drink, consumed it but did not pay for it?

a. Provide your estimates for N=3, N=6 and N=12
b. Please explain the meaning of the results.

Rem: Verification of analytical results by simulation is welcome.

 No Solution Yet Submitted by Ady TZIDON No Rating

Comments: ( You must be logged in to post comments.)
 Subject Author Date re(2): Last Call Steve Herman 2016-02-24 16:59:58 re: Last Call Charlie 2016-02-24 10:22:27 Last Call Steve Herman 2016-02-23 18:19:55 re: Clarification needed- provided Ady TZIDON 2016-02-23 15:37:59 solution, with caveat Charlie 2016-02-23 14:03:10 Clarification needed Steve Herman 2016-02-23 12:15:19

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