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The Mechanic is based on rolling 2d6 and keeping either the highest or lowest die rolled (with some modifiers on either end). So my question is simply this:

Terrible 2d6 take the lowest and subtract 2

Poor 2d6 take the lowest and subtract 1

Mediocre 2d6 take the lowest

Fair 1d6

Good 2d6 take the highest

Great 2d6 take the highest and add 1

Superb 2d6 take the highest and add 2

Each character has a set of Fudge Points broken down into Luck, Stamina, and Will which they can use to raise a result when making a roll to ensure success. These points replenish throughout the game, but are low enough to encourage mindful resource management and "saving one's 'oomph' for when one really needs that extra little bit of luck or effort to succeed."

Thank you for any pointers you can offer a mathematically impaired librarian...

## Comments

To roll a pair of six-sided dice, and have both of the face be the same (rolling 1 and 1, for example), is a 1/6 probability for each die.

So, for the pairs (1-1,2-2,3-3,4-4,5-5, and 6-6) the probability for each set is: .0277777 (1/6 * 1/6).

To roll two different numbers (say, a 3 and a 6) is slightly more trickier. The first die can be 2 numbers (since you don't care if the first die is a 3 or a 6), so that prob is 2/6. The second number would be remaining unrolled number, so that prob would be 1/6.

So for each set of unmatching numbers (3-6, 1-2, 4-5, etc.), the probability is: .05555555 (2/6 * 1/6).

Here's a google spreadsheet:

https://spreadsheets.google.com/spreadsheet/ccc?key=0Apd_KamRtuKpdFlxUHVrNm1MM3hod2hJam81RW96Ync&hl=en_US

Or is there something else you were looking for?

@Doho123 - That was exactly what I couldn't wrap my mind around. Thank you, the spreadsheet is precisely what makes sense to those of us who have difficulty with odds. I'd tried using Anydice.com but could not come up with what you have presented. Again, thank you!

output [highest 1 of 2d6]

output [lowest 1 of 2d6]