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## Odds Oddities

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

 Puzzle ID: #18290 Fun: (2.12) Difficulty: (1.35) Category: Probability Submitted By: wizecracker55 Corrected By: Winner4600

You roll a die 24 times, and the results are as follows:

[1] 6 times
[2] 4 times
[3] 5 times
[4] 3 times
[5] 6 times
[6] 0 times

What are the odds of the twenty fifth die being a six?

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 canu Jul 20, 2004 What are the odds that it is a loaded die? Mogmatt16 Jul 20, 2004 shouldn't this be trick? jimbo Jul 23, 2004 As the comments show, there's no trick. It's just very elementary Mathematics. jimbo Jul 23, 2004 Sorry..I meant you can tell from the ratings..! Poker Aug 01, 2004 How can you roll a 0 on a die? jecrwin Aug 12, 2004 Please do NOT misuse the word odds to mean probability. They are two different things. Look at the previous comment I made on another odds question to see why. Odds are p/1-p. Thus, the odds are 1:5. (1/6)/(5/6) = 1/5 or 1:5 odds rose_rox Sep 23, 2004 Poker, it's meant that the die never landed on 6. Tongue-Twister Nov 07, 2004 What? (user deleted) Dec 11, 2004 there is only six sides and not one of them has a zero or no dots on it so the sixth number is totally wrong the numbers can only go from 1-6 no other number is available!!!! pi202 Dec 16, 2004 BlackCat - didn't you read rose_rox's comment? For clarification, the question means that out of the 24 rolls of the die, a [1] was rolled 6 times, a [2] was rolled 4 times, a [3] was rolled 5 times, a [4] was rolled 3 times, a [5] was rolled 6 times and a [6] was never rolled. kuru Dec 29, 2004 finaly one i got right HAHaha mr_brainiac Mar 15, 2005 The Zero is the number of times he rolled a 6 in the first 24 rolls, not a number on the dice Leviathan Apr 02, 2005 i didn't think hard enough (user deleted) May 04, 2005 I....hate......math..... Inuu Aug 25, 2005 jecrwin dear, trying to act smart aye? we all know it's 1:6 not 1:5 .LOL hidentreasure Oct 30, 2005 Sssoooooo easy I'm 12 and I got it thecount89 Dec 08, 2005 Actually, jecrwin was right. Since it's a ratio, the ODDS (not the same thing as probability) would be 5:1. However, the PROBABILITY (not the same thing as odds) would be 1/6. It's kind of like saying, for every 5, there is then 1.... when altogether, there are 6. stm8r1 Dec 09, 2005 A more interesting question would be what are the odds that a 6 is rolled on the twenty-fifth roll given the previous 24 rolls? For each roll the chance that it ISN'T a 6 is 5/6, so the chance of no 6's rolled in 25 tries is 1-((5/6)^25)=.98952, or nearly a 99% chance that the 25th roll will be a 6. SPUTNIK2 Jan 20, 2006 Good one, thanks for teaser cosine89 Feb 02, 2006 The answer is incorrect. Odds are the comparison of favorable outcomes to unfavorable outcomes. There is one 6 and five are not 6. So the answer is 1:5. jsdodgers Apr 05, 2008 This was WAY to easy. I don't see how all these people are having problems with it. KarateGirl098 Nov 12, 2009 Super-easy. But fun.