Question on dice odds?

BreakaLeg

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Mar 19, 2002
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Does anybody know the odds on rolling five of a kind with one roll of five dice? I thought it was 6 to the fifth power(7776 to one) but I am being told it is actually much less. How do you calculate it? Thanks.:confused:
 

dr. freeze

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6^4 power

first roll out of 5 is arbitrary.....(any number can be made into 5 of a kind with 4 more same rolls -- outcomes only depend on the next 4 throws)

for 5 5's, 5 6's, etc. etc. you are correct -- odds are 6^5 for each possible combination....

hope that explains it
 

british bulldog

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Each dice has six sides with numbers one through to six. To roll anynumber is a 5/1 chance.
To roll five dice for one roll each and obtain the same number is as follows;
6 x 6 x 6 x 6 x 6 = 7775/1
So yes your first thought was correct.
 

dr. freeze

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no it isn't.......first roll is arbitrary.....

if you don't know, then don't give out wrong information.....

correct answer is 6*6*6*6:1
 

TheShrimp

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freeze is right, not bulldog.

Think about the odds of rolling a pair. there are 6 ways to do it, and 36 possible rolls, so 1/6 chance of rolling a pair. Its a 1/36, that is 1/(6*6) probability of rolling a SPECIFIC pair. If you have N dice, it's 6^(N-1) OR (6^N)/6 (divide by 6 because it can be any one of the pairs).

So, the probability is 1/1296, or 1295-1 against it happening.
 
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