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Simple question...what are the odds of rolling 86 on 10d10?


Galdor the Great wrote:
Simple question...what are the odds of rolling 86 on 10d10?

Well there are approximately 10000000000 different permutations (I think that is the word) for a roll of 10d10; all you need to know are the number of those which total 86.

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My wife, the almost math teacher says that it is 1 in 1000.

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Charles Evans 25 wrote:
Galdor the Great wrote:
Simple question...what are the odds of rolling 86 on 10d10?
Well there are approximately 10000000000 different permutations (I think that is the word) for a roll of 10d10; all you need to know are the number of those which total 86.

I found 810040 possibilities, so the probability is

810 040 / 10 000 000 000,

that is, 0.008%.

The most probable result is 55, with about 4%.


Is there a mathmatical formula you used to get that number (810040) or did you do it it the really long way?


Galdor the Great wrote:
Simple question...what are the odds of rolling 86 on 10d10?

About 1 in 91.

10d10 = 10-100 possible roll that means 100-9=91 so 1 chance in 91 of course thats less than 4% chance though more like 1.09 something%.


I tallied all the possible ways you can roll a total of 86 on 10d10, and came up with: 810,040.

So, Pr[sum of 10d10 is 86] = 810,040 / 10,000,000,000

p.s. because 10d10 is a 10 dimensional cube I actually had to look up the counting method in an old manuscript dedicated to Yog-Sothoth titled high-dimensional membranes & manifolds.

Edit: I just noticed Dalvyn beat me to the punch.


Galdor the Great wrote:
Simple question...what are the odds of rolling 86 on 10d10?

Oh, Galdor wanted Odds. Odds are 1-to-1234 for rolling an 86.

David Fryer's wife was pretty close.


If you look up "Dice" on Wikipedia, there's a formula near the bottom of the page that lets you calculate the probability of rolling a total of k on i dice with s sides each. If you have a programmable calculator, it's easy to write a function to calculate it.

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RickSummon wrote:
If you look up "Dice" on Wikipedia, there's a formula near the bottom of the page that lets you calculate the probability of rolling a total of k on i dice with s sides each. If you have a programmable calculator, it's easy to write a function to calculate it.

But for a perpetually random result, a dice would never be rolled...that you have spells certain doom for us all.

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