Odds Oddities
Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.
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?
Answer
1:5
(probability 1/6)
Dice have no memory, so previous rolls have no bearing on future rolls.
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Comments
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/1p. 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. 
TongueTwister
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 16 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 twentyfifth 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
 Supereasy. But fun. 
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