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That's a Load of Craps! (Posted on 2003-10-22) Difficulty: 4 of 5
Craps is a 1-player dice game that is played as follows: Roll two 6-sided dice; their sum becomes your "initial" roll. If this initial roll is 2, 3, or 12, you lose. If the initial roll is 7 or 11, you win. Otherwise, keep rolling the dice until you reroll you initial number (and win) or until you roll a 7 (and lose).

You're betting that your adversary is going to lose his game of craps, which should be a favorable bet for you. But you receive an anonymous tip that he's secretly loaded one of the dice, so that it will always come up 5. This increases his chances of winning to 2/3.

Having learned of his evil deed, you're going to secretly load his other die so as to minimize his chance of winning. With what probability should you load each of the six faces? And how does that change his probability of winning?

No Solution Yet Submitted by DJ    
Rating: 4.4167 (12 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Great ProblemBryon2005-04-23 00:13:31
Great ProblemRandyOrton2004-12-02 16:02:12
Some Thoughtso.o' *feels brain fluids draining away*Magick3212003-12-03 21:52:34
SolutionsolutionSaso2003-10-28 11:05:11
Some Thoughtscould bemike2003-10-24 23:13:41
SolutionCheaty answerDacre2003-10-24 09:56:30
re(2): some thoughts...and a questionCharlie2003-10-23 08:12:46
re: some thoughts...and a questionSilverKnight2003-10-22 19:33:05
some thoughts...and a questionBrian Wainscott2003-10-22 17:18:51
Solutionre: some thoughtsCharlie2003-10-22 13:40:12
Some Thoughtssome thoughtsSilverKnight2003-10-22 12:50:40
A startBrian Smith2003-10-22 12:38:27
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