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what does 'd' mean for e.g. in a hit die of d10 or a weapon's damage ability of 2d6.

d is a die/dice (never know the prober usage of them words).

So basically "d" infront of something means a dice of that many sides.
d6 = dice with 6 sides, giving possible numbers 1, 2, 3, 4, 5 and 6.

I belive this is also explained in the manual.

"Die" is singular; "dice" is plural.

@crazy:

d10 means a ten-sided die = a random number between 1 and 10.

2d6 means two six-sided dice = a random number between 2 and 12 with an average value of 7.