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 That's a Load of Craps! (Posted on 2003-10-22)
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)

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 Subject Author Date re: Great Problem Bryon 2005-04-23 00:13:31 Great Problem RandyOrton 2004-12-02 16:02:12 o.o' *feels brain fluids draining away* Magick321 2003-12-03 21:52:34 solution Saso 2003-10-28 11:05:11 could be mike 2003-10-24 23:13:41 Cheaty answer Dacre 2003-10-24 09:56:30 re(2): some thoughts...and a question Charlie 2003-10-23 08:12:46 re: some thoughts...and a question SilverKnight 2003-10-22 19:33:05 some thoughts...and a question Brian Wainscott 2003-10-22 17:18:51 re: some thoughts Charlie 2003-10-22 13:40:12 some thoughts SilverKnight 2003-10-22 12:50:40 A start Brian Smith 2003-10-22 12:38:27

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