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<blockquote data-quote="Spatzimaus" data-source="post: 459399" data-attributes="member: 3051"><p>No, CC, you misunderstood. Note the part where it says "final result stands". As in, if you re-roll, you keep the later result even if it's lower. It doesn't narrow the range, you can STILL end up rolling a 1, it's just a LOT less common since it'd require you rolling so low that you want to reroll and then getting a 1 on the reroll.</p><p></p><p>Let's assume I'll always re-roll if possible.</p><p></p><p>If I re-roll 5 or less, there's a 75% chance of my original roll being a 6-20 (average 13) and a 25% chance of taking a new roll (average 10.5). Your average roll is now 0.75*13 + 0.25*10.5 = 12.375, a difference of 1.875 (as I said)</p><p>The average would only be 13 if you continued to reroll until the result was above 5.</p><p></p><p>Or, look at it another way; the second roll would average 10.5. So, if I roll a 1, I increase by 9.5. If I roll a 2, 8.5. A 3 gains 7.5, a 4 gains 6.5, and a 5 gains 5.5. Add those five gains, divide by 20, and you get the 1.875.</p><p></p><p>If I re-roll a 10 or less, there's a 50% chance of my original roll being an 11-20 (average 15.5) and a 50% chance of a new roll (average 10.5), for an average of 13.0, a gain of 2.5.</p><p></p><p>Both of these are lower than the existing Skill Focus/Greater Skill Focus ideas. Since it's not a plus, you can't succeed at something that was out of your range before. It also doesn't stack with Take 10. BUT, there are advantages: you're far less likely to fail easy tasks, and the feats add other abilities.</p></blockquote><p></p>
[QUOTE="Spatzimaus, post: 459399, member: 3051"] No, CC, you misunderstood. Note the part where it says "final result stands". As in, if you re-roll, you keep the later result even if it's lower. It doesn't narrow the range, you can STILL end up rolling a 1, it's just a LOT less common since it'd require you rolling so low that you want to reroll and then getting a 1 on the reroll. Let's assume I'll always re-roll if possible. If I re-roll 5 or less, there's a 75% chance of my original roll being a 6-20 (average 13) and a 25% chance of taking a new roll (average 10.5). Your average roll is now 0.75*13 + 0.25*10.5 = 12.375, a difference of 1.875 (as I said) The average would only be 13 if you continued to reroll until the result was above 5. Or, look at it another way; the second roll would average 10.5. So, if I roll a 1, I increase by 9.5. If I roll a 2, 8.5. A 3 gains 7.5, a 4 gains 6.5, and a 5 gains 5.5. Add those five gains, divide by 20, and you get the 1.875. If I re-roll a 10 or less, there's a 50% chance of my original roll being an 11-20 (average 15.5) and a 50% chance of a new roll (average 10.5), for an average of 13.0, a gain of 2.5. Both of these are lower than the existing Skill Focus/Greater Skill Focus ideas. Since it's not a plus, you can't succeed at something that was out of your range before. It also doesn't stack with Take 10. BUT, there are advantages: you're far less likely to fail easy tasks, and the feats add other abilities. [/QUOTE]
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