Advantage: Difference between revisions
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m (Updated "Die Rolls" link to "Dice Rolls" so it doesn't redirect, in keeping with the discussion about this on the main page's talk page.) |
(→Math: Added subsection on Critical successes and failures (Natural 1s and 20s). Placed it under the Math section, but since it's less in-depth than other secitons, feel free to move it if appropriate.) |
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Because of symmetry, having disadvantage instead of advantage means we can simply make the permutation of {{math|\{1, \dots, n\} \to \{n, \dots, 1\} }} for the values of dice rolls and all the calculations will remain the same. Therefore the size of the bonus of advantage is equal to the size of the penalty of disadvantage. | Because of symmetry, having disadvantage instead of advantage means we can simply make the permutation of {{math|\{1, \dots, n\} \to \{n, \dots, 1\} }} for the values of dice rolls and all the calculations will remain the same. Therefore the size of the bonus of advantage is equal to the size of the penalty of disadvantage. | ||
===Effects on Critical Successes and Failures=== | |||
In the mechanics of Baldur's Gate 3, rolling a 1 or a 20 for an {{Ability check}}, {{Attack roll}}, or {{Saving throw}} will ''always'' be treated as a Critical Failure or Critical Success (respectively), regardless of any other bonuses or penalties on the roll. On a normal dice roll, this effectively means there is a {{math|1/20}} (or 5%) chance of either a Critical Success or Failure. | |||
Having Advantage or Disadvantage can drastically increase or reduce the chance of Critical Successes and Failures. For example, when rolling with Advantage, the only way to get a Critical Failure is to roll ''two'' 1s at the same time. The odds of this result is {{math|1=1/20 \cdot 1/20 = 1/400}} (or 0.25%). Conversely, rolling a Critical Success is far more likely - out of the 400 possible dice roll outcomes, 39 will result in a 20 (rolling 20 on the first die and 1, 2, 3, ... 20 on the second die, plus rolling 20 on the second die and 1, 2, 3, ... 20 on the first die, minus one so that the result of two 20s is not doubly-counted). The odds of this result is {{math|39/400}} (or 9.75%). The opposite is true for rolling with Disadvantage: a Critical Success has a 0.25% chance and a Critical Failure has a 9.75% chance. | |||
Effectively, rolling with '''Advantage means that Critical Failures are 20 times less likely and Critical Successes are almost twice as likely''', and the inverse is true for Disadvantage. | |||
{| class="wikitable" | |||
|+Chance of Critical Successes and Failures with Advantage and Disadvantage | |||
|- | |||
!Outcome!!Normal Roll!!Roll With Advantage!!Roll With Disadvantage | |||
|- | |||
|Critical Failure (1)||5%||0.25%||9.75% | |||
|- | |||
|Critical Success (20)||5%||9.75%||0.25% | |||
|} | |||
== Similar effects == | == Similar effects == | ||