- Thread starter Extrakun
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The chance of getting an extra success from each die diminishes, yes. So the chances of getting 2 successes on 2d6 is less than that of getting 1 success on 1d6.

The closest equivalent I can think of for a linear die is difficulties increasing faster than bonuses.

The closest equivalent I can think of for a linear die is difficulties increasing faster than bonuses.

For example, let's say you're trying to roll 4 or higher on d6. On a single die, the probability of doing that is 50%. On two dice, it becomes 75%, an increase of 25 percentage points. On three dice, it becomes 87.5%, a further increase of only 12.5; on four dice, it's 93.75, now only increased by 6.25; and so on. The chances keep going up, but each added die has a smaller effect than the previous one.

The most common way to mimic the large scale outcome, if not the phenomenon itself, with flat dice seems to be escalating costs for stat/skill/whatever modifiers. E.g. a +1 modifier costs 1 point, +2 costs 3 points, +3 costs 6 points. +4 costs 10 points and so on. Or otherwise making higher modifiers exponentially, rather than geometrically, harder and more expensive to achieve.

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I think Extrakun was rather referring to how, when you add more dice, the chance to roll at least one success keeps going up, but at a diminishing rate for each subsequent die.

For example, let's say you're trying to roll 4 or higher on d6. On a single die, the probability of doing that is 50%. On two dice, it becomes 75%, an increase of 25 percentage points. On three dice, it becomes 87.5%, a further increase of only 12.5; on four dice, it's 93.75, now only increased by 6.25; and so on. The chances keep going up, but each added die has a smaller effect than the previous one.

For example, let's say you're trying to roll 4 or higher on d6. On a single die, the probability of doing that is 50%. On two dice, it becomes 75%, an increase of 25 percentage points. On three dice, it becomes 87.5%, a further increase of only 12.5; on four dice, it's 93.75, now only increased by 6.25; and so on. The chances keep going up, but each added die has a smaller effect than the previous one.