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Xanathar's Elven Accuracy
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<blockquote data-quote="Nikioko" data-source="post: 7413411" data-attributes="member: 6936904"><p>____</p><p></p><p>That's correct. But the question isn't "What is the the average throw of a) 1d20, b) 2d20 drop 1 and c) 3d20 drop 2" but: "My opponent has AC 18. Since I have a +5 proficiency in my weapon, I need a 13 to hit. What is the propability to throw at least one 13 with a) 1d20, b) 2d20 and c) 3d20?"</p><p></p><p>Answer:</p><p>1d20: 40%</p><p>2d20: 64%</p><p>3d20: 78.4%</p><p></p><p>Or, to get a full table:</p><table style='width: 100%'><tr><td></td><td>p 1d20</td><td>p 2d20</td><td>p 3d20</td><td></td><td>p+ 2d/1d</td><td>p+ 3d/1d</td><td>p+ 3d/2d</td></tr><tr><td>1</td><td>100,00%</td><td>100,00%</td><td>100,00%</td><td></td><td>0,00%</td><td>0,00%</td><td>0,00%</td></tr><tr><td>2</td><td>95,00%</td><td>99,75%</td><td>99,99%</td><td></td><td>5,00%</td><td>5,25%</td><td>0,24%</td></tr><tr><td>3</td><td>90,00%</td><td>99,00%</td><td>99,90%</td><td></td><td>10,00%</td><td>11,00%</td><td>0,91%</td></tr><tr><td>4</td><td>85,00%</td><td>97,75%</td><td>99,66%</td><td></td><td>15,00%</td><td>17,25%</td><td>1,96%</td></tr><tr><td>5</td><td>80,00%</td><td>96,00%</td><td>99,20%</td><td></td><td>20,00%</td><td>24,00%</td><td>3,33%</td></tr><tr><td>6</td><td>75,00%</td><td>93,75%</td><td>98,44%</td><td></td><td>25,00%</td><td>31,25%</td><td>5,00%</td></tr><tr><td>7</td><td>70,00%</td><td>91,00%</td><td>97,30%</td><td></td><td>30,00%</td><td>39,00%</td><td>6,92%</td></tr><tr><td>8</td><td>65,00%</td><td>87,75%</td><td>95,71%</td><td></td><td>35,00%</td><td>47,25%</td><td>9,07%</td></tr><tr><td>9</td><td>60,00%</td><td>84,00%</td><td>93,60%</td><td></td><td>40,00%</td><td>56,00%</td><td>11,43%</td></tr><tr><td>10</td><td>55,00%</td><td>79,75%</td><td>90,89%</td><td></td><td>45,00%</td><td>65,25%</td><td>13,97%</td></tr><tr><td>11</td><td>50,00%</td><td>75,00%</td><td>87,50%</td><td></td><td>50,00%</td><td>75,00%</td><td>16,67%</td></tr><tr><td>12</td><td>45,00%</td><td>69,75%</td><td>83,36%</td><td></td><td>55,00%</td><td>85,25%</td><td>19,52%</td></tr><tr><td>13</td><td>40,00%</td><td>64,00%</td><td>78,40%</td><td></td><td>60,00%</td><td>96,00%</td><td>22,50%</td></tr><tr><td>14</td><td>35,00%</td><td>57,75%</td><td>72,54%</td><td></td><td>65,00%</td><td>107,25%</td><td>25,61%</td></tr><tr><td>15</td><td>30,00%</td><td>51,00%</td><td>65,70%</td><td></td><td>70,00%</td><td>119,00%</td><td>28,82%</td></tr><tr><td>16</td><td>25,00%</td><td>43,75%</td><td>57,81%</td><td></td><td>75,00%</td><td>131,25%</td><td>32,14%</td></tr><tr><td>17</td><td>20,00%</td><td>36,00%</td><td>48,80%</td><td></td><td>80,00%</td><td>144,00%</td><td>35,56%</td></tr><tr><td>18</td><td>15,00%</td><td>27,75%</td><td>38,59%</td><td></td><td>85,00%</td><td>157,25%<br /> </td><td>39,05%</td></tr><tr><td>19</td><td>10,00%</td><td>19,00%</td><td>27,10%</td><td></td><td>90,00%</td><td>171,00%</td><td>42,63%<br /> </td></tr><tr><td>20<br /> </td><td>5,00%<br /> </td><td>9,75%<br /> </td><td>14,26%<br /> </td><td></td><td>95,00%<br /> </td><td>185,25%<br /> </td><td>46,28%<br /> </td></tr></table><p></p><p></p><p></p><p>As you see, the harder an opponent is to hit, the more important is having advantage or even Elven Accuracy.</p><p>If you e.g. have to throw a 13 to hit, Advantage gives you a 60% in the probability to hit and Elven Accuracy gives you another 22.5% on top which mean an overall +96% probability to hit. Thus, your chance to strike your opponent is almost doubled. And the harder the enemies are to hit, the higher this bonus is.</p></blockquote><p></p>
[QUOTE="Nikioko, post: 7413411, member: 6936904"] ____ That's correct. But the question isn't "What is the the average throw of a) 1d20, b) 2d20 drop 1 and c) 3d20 drop 2" but: "My opponent has AC 18. Since I have a +5 proficiency in my weapon, I need a 13 to hit. What is the propability to throw at least one 13 with a) 1d20, b) 2d20 and c) 3d20?" Answer: 1d20: 40% 2d20: 64% 3d20: 78.4% Or, to get a full table: [TABLE="class: grid, width: 500, align: left"] [TR] [TD][/TD] [TD="width: 55"]p 1d20[/TD] [TD="width: 58"]p 2d20[/TD] [TD="width: 58"]p 3d20[/TD] [TD="width: 34"][/TD] [TD="width: 62"]p+ 2d/1d[/TD] [TD="width: 57"]p+ 3d/1d[/TD] [TD="width: 58"]p+ 3d/2d[/TD] [/TR] [TR] [TD="align: right"]1[/TD] [TD="align: right"]100,00%[/TD] [TD="align: right"]100,00%[/TD] [TD="align: right"]100,00%[/TD] [TD][/TD] [TD="align: right"]0,00%[/TD] [TD="align: right"]0,00%[/TD] [TD="align: right"]0,00%[/TD] [/TR] [TR] [TD="align: right"]2[/TD] [TD="align: right"]95,00%[/TD] [TD="align: right"]99,75%[/TD] [TD="align: right"]99,99%[/TD] [TD][/TD] [TD="align: right"]5,00%[/TD] [TD="align: right"]5,25%[/TD] [TD="align: right"]0,24%[/TD] [/TR] [TR] [TD="align: right"]3[/TD] [TD="align: right"]90,00%[/TD] [TD="align: right"]99,00%[/TD] [TD="align: right"]99,90%[/TD] [TD][/TD] [TD="align: right"]10,00%[/TD] [TD="align: right"]11,00%[/TD] [TD="align: right"]0,91%[/TD] [/TR] [TR] [TD="align: right"]4[/TD] [TD="align: right"]85,00%[/TD] [TD="align: right"]97,75%[/TD] [TD="align: right"]99,66%[/TD] [TD][/TD] [TD="align: right"]15,00%[/TD] [TD="align: right"]17,25%[/TD] [TD="align: right"]1,96%[/TD] [/TR] [TR] [TD="align: right"]5[/TD] [TD="align: right"]80,00%[/TD] [TD="align: right"]96,00%[/TD] [TD="align: right"]99,20%[/TD] [TD][/TD] [TD="align: right"]20,00%[/TD] [TD="align: right"]24,00%[/TD] [TD="align: right"]3,33%[/TD] [/TR] [TR] [TD="align: right"]6[/TD] [TD="align: right"]75,00%[/TD] [TD="align: right"]93,75%[/TD] [TD="align: right"]98,44%[/TD] [TD][/TD] [TD="align: right"]25,00%[/TD] [TD="align: right"]31,25%[/TD] [TD="align: right"]5,00%[/TD] [/TR] [TR] [TD="align: right"]7[/TD] [TD="align: right"]70,00%[/TD] [TD="align: right"]91,00%[/TD] [TD="align: right"]97,30%[/TD] [TD][/TD] [TD="align: right"]30,00%[/TD] [TD="align: right"]39,00%[/TD] [TD="align: right"]6,92%[/TD] [/TR] [TR] [TD="align: right"]8[/TD] [TD="align: right"]65,00%[/TD] [TD="align: right"]87,75%[/TD] [TD="align: right"]95,71%[/TD] [TD][/TD] [TD="align: right"]35,00%[/TD] [TD="align: right"]47,25%[/TD] [TD="align: right"]9,07%[/TD] [/TR] [TR] [TD="align: right"]9[/TD] [TD="align: right"]60,00%[/TD] [TD="align: right"]84,00%[/TD] [TD="align: right"]93,60%[/TD] [TD][/TD] [TD="align: right"]40,00%[/TD] [TD="align: right"]56,00%[/TD] [TD="align: right"]11,43%[/TD] [/TR] [TR] [TD="align: right"]10[/TD] [TD="align: right"]55,00%[/TD] [TD="align: right"]79,75%[/TD] [TD="align: right"]90,89%[/TD] [TD][/TD] [TD="align: right"]45,00%[/TD] [TD="align: right"]65,25%[/TD] [TD="align: right"]13,97%[/TD] [/TR] [TR] [TD="align: right"]11[/TD] [TD="align: right"]50,00%[/TD] [TD="align: right"]75,00%[/TD] [TD="align: right"]87,50%[/TD] [TD][/TD] [TD="align: right"]50,00%[/TD] [TD="align: right"]75,00%[/TD] [TD="align: right"]16,67%[/TD] [/TR] [TR] [TD="align: right"]12[/TD] [TD="align: right"]45,00%[/TD] [TD="align: right"]69,75%[/TD] [TD="align: right"]83,36%[/TD] [TD][/TD] [TD="align: right"]55,00%[/TD] [TD="align: right"]85,25%[/TD] [TD="align: right"]19,52%[/TD] [/TR] [TR] [TD="align: right"]13[/TD] [TD="align: right"]40,00%[/TD] [TD="align: right"]64,00%[/TD] [TD="align: right"]78,40%[/TD] [TD][/TD] [TD="align: right"]60,00%[/TD] [TD="align: right"]96,00%[/TD] [TD="align: right"]22,50%[/TD] [/TR] [TR] [TD="align: right"]14[/TD] [TD="align: right"]35,00%[/TD] [TD="align: right"]57,75%[/TD] [TD="align: right"]72,54%[/TD] [TD][/TD] [TD="align: right"]65,00%[/TD] [TD="align: right"]107,25%[/TD] [TD="align: right"]25,61%[/TD] [/TR] [TR] [TD="align: right"]15[/TD] [TD="align: right"]30,00%[/TD] [TD="align: right"]51,00%[/TD] [TD="align: right"]65,70%[/TD] [TD][/TD] [TD="align: right"]70,00%[/TD] [TD="align: right"]119,00%[/TD] [TD="align: right"]28,82%[/TD] [/TR] [TR] [TD="align: right"]16[/TD] [TD="align: right"]25,00%[/TD] [TD="align: right"]43,75%[/TD] [TD="align: right"]57,81%[/TD] [TD][/TD] [TD="align: right"]75,00%[/TD] [TD="align: right"]131,25%[/TD] [TD="align: right"]32,14%[/TD] [/TR] [TR] [TD="align: right"]17[/TD] [TD="align: right"]20,00%[/TD] [TD="align: right"]36,00%[/TD] [TD="align: right"]48,80%[/TD] [TD][/TD] [TD="align: right"]80,00%[/TD] [TD="align: right"]144,00%[/TD] [TD="align: right"]35,56%[/TD] [/TR] [TR] [TD="align: right"]18[/TD] [TD="align: right"]15,00%[/TD] [TD="align: right"]27,75%[/TD] [TD="align: right"]38,59%[/TD] [TD][/TD] [TD="align: right"]85,00%[/TD] [TD="align: right"]157,25% [/TD] [TD="align: right"]39,05%[/TD] [/TR] [TR] [TD="align: right"]19[/TD] [TD="align: right"]10,00%[/TD] [TD="align: right"]19,00%[/TD] [TD="align: right"]27,10%[/TD] [TD][/TD] [TD="align: right"]90,00%[/TD] [TD="align: right"]171,00%[/TD] [TD="align: right"]42,63% [/TD] [/TR] [TR] [TD="align: right"]20 [/TD] [TD="align: right"]5,00% [/TD] [TD="align: right"]9,75% [/TD] [TD="align: right"]14,26% [/TD] [TD][/TD] [TD="align: right"]95,00% [/TD] [TD="align: right"]185,25% [/TD] [TD="align: right"]46,28% [/TD] [/TR] [/TABLE] As you see, the harder an opponent is to hit, the more important is having advantage or even Elven Accuracy. If you e.g. have to throw a 13 to hit, Advantage gives you a 60% in the probability to hit and Elven Accuracy gives you another 22.5% on top which mean an overall +96% probability to hit. Thus, your chance to strike your opponent is almost doubled. And the harder the enemies are to hit, the higher this bonus is. [/QUOTE]
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