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What is the value of rolling two d20s and keeping the best result?
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<blockquote data-quote="harpy" data-source="post: 4955916" data-attributes="member: 85243"><p>So I'm just talking out loud at the moment...</p><p></p><p></p><p>So in 3.5 the progression for a well optimized character for skill bonuses (taking into account full ranks, ability score, skill focus, misc bonus and various item bonuses) would be:</p><p></p><p>Level 1 = 12</p><p>Level 2 = 13</p><p>Level 3 = 14</p><p>Level 4 = 15</p><p>Level 5 = 16</p><p>Level 6 = 17</p><p>Level 7 = 18</p><p>Level 8 = 21</p><p>Level 9 = 22</p><p>Level 10 = 23</p><p>Level 11 = 24</p><p>Level 12 = 25</p><p>Level 13 = 26</p><p>Level 14 = 28</p><p>Level 15 = 29</p><p>Level 16 = 31</p><p>Level 17 = 33</p><p>Level 18 = 35</p><p>Level 19 = 36</p><p>Level 20 = 38</p><p></p><p>So in looking that over at level 8 you've already got a "take 20" automatically in effect. At level 11 DC 25s are cleared and at level 15 DC 30s are cleared.</p><p></p><p>If you added a "roll twice, take best" effect then you'd shift all of these by 3 to 5. At low levels it could mean that by level 5 a highly optimized character could be getting a "take 20" effect on their choice skill. It also could mean that in some instances 3rd level characters would be getting up to a equivalent "take 20" in the right situations.</p><p></p><p>So the overall effect for an optimized skill with roll twice added on is that almost over the entire course of the characters career the skill is going to be trivial to accomplish, save for spotting invisible characters or having to do opposed rolls with other optimized or powerful opponents.</p><p></p><p>So I guess that is leading to the next question, how does the roll twice, pick best ability affect opposed rolls?</p><p></p><p>If the opponent doesn't have the ability then we are looking at <a href="http://catlikecoding.com/anydice/?dice=3d20h" target="_blank">three d20 rolls being made</a>. And from those charts it comes out to a +5 bonus, though now my illogical mind begins to implode, since the opposition rolls might be making things get really weird. Is it really as simple as "roll three dice and pick the best one" or doe the fact that one player is getting two chances versus the one chance from the other player add loops to the formula?</p></blockquote><p></p>
[QUOTE="harpy, post: 4955916, member: 85243"] So I'm just talking out loud at the moment... So in 3.5 the progression for a well optimized character for skill bonuses (taking into account full ranks, ability score, skill focus, misc bonus and various item bonuses) would be: Level 1 = 12 Level 2 = 13 Level 3 = 14 Level 4 = 15 Level 5 = 16 Level 6 = 17 Level 7 = 18 Level 8 = 21 Level 9 = 22 Level 10 = 23 Level 11 = 24 Level 12 = 25 Level 13 = 26 Level 14 = 28 Level 15 = 29 Level 16 = 31 Level 17 = 33 Level 18 = 35 Level 19 = 36 Level 20 = 38 So in looking that over at level 8 you've already got a "take 20" automatically in effect. At level 11 DC 25s are cleared and at level 15 DC 30s are cleared. If you added a "roll twice, take best" effect then you'd shift all of these by 3 to 5. At low levels it could mean that by level 5 a highly optimized character could be getting a "take 20" effect on their choice skill. It also could mean that in some instances 3rd level characters would be getting up to a equivalent "take 20" in the right situations. So the overall effect for an optimized skill with roll twice added on is that almost over the entire course of the characters career the skill is going to be trivial to accomplish, save for spotting invisible characters or having to do opposed rolls with other optimized or powerful opponents. So I guess that is leading to the next question, how does the roll twice, pick best ability affect opposed rolls? If the opponent doesn't have the ability then we are looking at [URL="http://catlikecoding.com/anydice/?dice=3d20h"]three d20 rolls being made[/URL]. And from those charts it comes out to a +5 bonus, though now my illogical mind begins to implode, since the opposition rolls might be making things get really weird. Is it really as simple as "roll three dice and pick the best one" or doe the fact that one player is getting two chances versus the one chance from the other player add loops to the formula? [/QUOTE]
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What is the value of rolling two d20s and keeping the best result?
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