Oberst Radl | 16 Aug 2013 8:02 p.m. PST |
What are the odds of 1xD6 and 1xD10 hitting the same number? |
gweirda | 16 Aug 2013 8:10 p.m. PST |
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Oberst Radl | 16 Aug 2013 8:15 p.m. PST |
That's what my brain does and why I asked the question! |
taskforce58 | 16 Aug 2013 8:18 p.m. PST |
There are 6*10=60 combinations of numbers a D6 and D10 can generate when rolled together. Assuming you are not looking for a specific number, then 6 of those 60 results will match your requirement = a 10% chance. |
Gonsalvo | 16 Aug 2013 8:37 p.m. PST |
And in more general terms, if you have two different dice of "X" and "Y" faces each, where Y is greater than or equal to X, there are X * Y possible combinations, of which X / X * Y combinations will have identical rolls, simplified to 1 / Y. Thus for a D8 and a D20 rolled together, the probability of matching scores is 1/20 or 5%.
just in case you wanted to know. :-) |
Oberst Radl | 16 Aug 2013 8:43 p.m. PST |
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SECURITY MINISTER CRITTER | 16 Aug 2013 9:25 p.m. PST |
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vaughan | 17 Aug 2013 2:35 a.m. PST |
So the probability is only based on the larger dice since the lower one always cancels out? Intuitively that seems wrong but then I never was much good at maths. |
GildasFacit | 17 Aug 2013 3:36 a.m. PST |
Vaughan – if you think of the numbers that are repeated on both dice 'cancelling out' then it might make a better fit to the non-mathematical mind. |
marcus arilius | 17 Aug 2013 8:00 a.m. PST |
just roll the dice!! the crying will only begin after the dice have been rolled. |
KatieL | 17 Aug 2013 1:20 p.m. PST |
I wrote an online calculator for solving these sorts of questions. link Input: d6==d10 Result: 0 : 9/10(90.00%) 1 : 1/10(10.00%) |
(Phil Dutre) | 18 Aug 2013 3:48 a.m. PST |
Look at it this way: roll the smallest dice first (d4, d6,
). Whatever number comes up, you have exactly 1/10 chance of matching this exact number with the larger d10. The size of the smallest dice does not enter the equation at all. |