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<blockquote data-quote="comrade raoul" data-source="post: 3655782" data-attributes="member: 554">Yes. Here's a summary: I ran the numbers not long ago, and calculated that the expected result of a d20 rolled twice, with the highest result used, was a 13.825 (as opposed to the expected 10.5 without the reroll). Purely in terms of expected value, the reroll is worth a 3.325 bonus.Of course, the reroll is better than that if you already mostly succeed (it drastically reduces the chance of an automatic failure), and obviously does a lot to increase the probability of a high natural result. In particular, there's a 9.025% chance of getting a natural 20 (up from 5%) and a 19% chance of getting a natural 19 or 20 (up from 10%).Thus, a Jedi Knight using Juyo and Vapaad has a 19% chance of threatening a critical hit on his first attack roll in a round (the one that benefits from the reroll), which can be very powerful in the presence of other critical-enhancing effects (like Triple Crit or Fortune's Favor). Comparably, a Jedi Knight with Soresu who makes two Block or Deflect attempts in a given round, and who uses Sense Surroundings once as a free action, has about a 22.6% chance to get a natural 20 on at least one of those five Use the Force rolls.</blockquote>

[QUOTE="comrade raoul, post: 3655782, member: 554"] Yes. Here's a summary: I ran the numbers not long ago, and calculated that the expected result of a d20 rolled twice, with the highest result used, was a 13.825 (as opposed to the expected 10.5 without the reroll). Purely in terms of expected value, the reroll is worth a 3.325 bonus. Of course, the reroll is better than that if you already mostly succeed (it drastically reduces the chance of an automatic failure), and obviously does a lot to increase the probability of a high natural result. In particular, there's a 9.025% chance of getting a natural 20 (up from 5%) and a 19% chance of getting a natural 19 or 20 (up from 10%). Thus, a Jedi Knight using Juyo and Vapaad has a 19% chance of threatening a critical hit on his first attack roll in a round (the one that benefits from the reroll), which can be very powerful in the presence of other critical-enhancing effects (like Triple Crit or Fortune's Favor). Comparably, a Jedi Knight with Soresu who makes two Block or Deflect attempts in a given round, and who uses Sense Surroundings once as a free action, has about a 22.6% chance to get a natural 20 on at least one of those five Use the Force rolls. [/QUOTE]

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