Re: odds

From: soviet1337 <markhumphreys_at_...>
Date: Thu, 05 Nov 2009 22:57:27 -0000

I believe it makes very little difference - about 3%.

There are 400 possible results in d20 vs d20 (20 x 20). Let's say player A is rated 15 and player B is rated 10. These are the only possible combinations where the difference matters:

A rolls 11, B rolls 11
A rolls 12, B rolls 11 
A rolls 12, B rolls 12
A rolls 13, B rolls 11
A rolls 13, B rolls 12
A rolls 13, B rolls 13
A rolls 14, B rolls 11
A rolls 14, B rolls 12
A rolls 14, B rolls 13
A rolls 14, B rolls 14
A rolls 15, B rolls 11
A rolls 15, B rolls 12
A rolls 15, B rolls 13
A rolls 15, B rolls 14
A rolls 15, B rolls 15

That's 15 possibilities out of 400, or about 3%. Shocking, I know, but that's how the maths works. 97% of the time the difference between 15 and 10 is irrelevant.

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