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- Newsgroups: sci.math.stat
- Path: sparky!uunet!spool.mu.edu!agate!usenet.ins.cwru.edu!news.csuohio.edu!vmcms.csuohio.edu!R0264
- From: R0264@vmcms.csuohio.edu
- Subject: Re: Simple Odds on dice.
- Message-ID: <168C1D231.R0264@vmcms.csuohio.edu>
- Sender: news@news.csuohio.edu (USENET News System)
- Organization: CSU
- References: <Russel_Mcauliffe.5w90@equinox.gen.nz>
- Date: Fri, 18 Dec 1992 19:56:32 GMT
- Lines: 26
-
- In article <Russel_Mcauliffe.5w90@equinox.gen.nz>
- Russel_Mcauliffe@equinox.gen.nz (Russel Mcauliffe) writes:
-
- >
- >I have just been playing drinking games with a friend of mine and we had an
- >argument about the odds of wining [losing??!!], and I was wondering if
- >anyone could clarify the situation.
- >
- >The game was a very simple one (you don't need to be at all sober to play)
- >and it basically goes like this:-
- >
- >There are 3 die(dice). You call a number before throwing the die and however
- >many times that number comes up (out of the three die) you have to 'skull'
- >that many glasses. My friend reckoned that there was a 1 in 6 chance of
- >'skulling' but obviously that was completely wrong. No matter how I tried to
- >point out he was wrong, he wouldn't beleive me and as I was [am] quite drunk
- >I couldn't come up with a suitable arguement. What I would like to know is
- >the odds of throwing a single, a double and a triple of the number.
- >
- >Any written proof in my argument would be much appreciated.
- >Cheers!!!!!
- >RJ.
- Well, unless there is some trick that I don't see, P(just once) =
- (1/6)(5/6)(5/6); P(twice) = (1/6)(1/6)(5/6); P(thrice) = (1/6)(1/6)(1/6).
- These are mutually exclusive, so P(once or more) = 31/16.
- Phil, Cleveland State University.
-