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For example, on the wiki page for the Riders, it says Death's attack does

Attacks
Touch of death 8d8, Touch of death 8d8

How am I supposed to interpret xdx?

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    Wolfram alpha has a nice feature where they show you the distribution, expected/average value, and do a random roll for you: wolframalpha.com/input/?i=8d8
    – Joren
    Commented Sep 13, 2012 at 11:40

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This is standard D&D terminology, where the first number (x) indicates the number of times (or the number of dice) you roll and the dx indicates the type of die that is rolled (with the x indicating the number of sides). In the case of 8d8, you would roll an 8 sided die 8 times and then sum the results.

Therefore, the damage done by Touch of Death is the sum of 8 random numbers between 1-8, which works out to a number between 8 and 64. As per liori's comment, this value is more likely to be in the middle of that range than at the ends. If you take all the possible outcomes of 8 rolls of 8 sided dice and graph the sums, you'll get a very nice bell curve. Rolling 8 or 64 would be extremely unlikely, but rolling 32 would be extremely common.

A few examples:
1d20 would be 1 roll of a 20 sided die.
3d6 would be 3 rolls of a 6 sided die.
1d8 + 2 would be 1 roll of an 8 sided die, with 2 added to the result (so a number between 3 and 10).

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    It might be worth adding that e.g. 11k10 is something different than 1k100 + 10 due to the probability distribution. The more dices used (the first number), the more probable it is to get a result somewhere in the middle.
    – liori
    Commented Sep 13, 2012 at 1:10
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    @liori: Just a peeve: dice is already plural. (The singular being die)
    – Joren
    Commented Sep 13, 2012 at 11:06

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