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<blockquote data-quote="Nagol" data-source="post: 6231406" data-attributes="member: 23935">I had a few minutes this afternoon to play around with the scenario using exploding dice.My assumption for exploding dice is on a roll of a 6, another die was rolled and added to the total and that continued until no further sixes were rolled.&nbsp; I capped the maximum at 64+ points.I ran a million result set and came up with the following probability charts:For 5d6:[CODE]Result&nbsp; &nbsp; Chance&nbsp; &nbsp; This or lower4&nbsp; &nbsp; 0.0000%&nbsp; &nbsp; 0.0000%5&nbsp; &nbsp; 0.0143%&nbsp; &nbsp; 0.0143%6&nbsp; &nbsp; 0.0693%&nbsp; &nbsp; 0.0836%7&nbsp; &nbsp; 0.1983%&nbsp; &nbsp; 0.2819%8&nbsp; &nbsp; 0.4537%&nbsp; &nbsp; 0.7356%9&nbsp; &nbsp; 0.8963%&nbsp; &nbsp; 1.6319%10&nbsp; &nbsp; 1.5496%&nbsp; &nbsp; 3.1815%11&nbsp; &nbsp; 2.3896%&nbsp; &nbsp; 5.5711%12&nbsp; &nbsp; 3.3756%&nbsp; &nbsp; 8.9467%13&nbsp; &nbsp; 4.2853%&nbsp; &nbsp; 13.2320%14&nbsp; &nbsp; 5.1132%&nbsp; &nbsp; 18.3452%15&nbsp; &nbsp; 5.6468%&nbsp; &nbsp; 23.9920%16&nbsp; &nbsp; 5.9765%&nbsp; &nbsp; 29.9685%17&nbsp; &nbsp; 6.0853%&nbsp; &nbsp; 36.0538%18&nbsp; &nbsp; 6.0031%&nbsp; &nbsp; 42.0569%19&nbsp; &nbsp; 5.8706%&nbsp; &nbsp; 47.9275%20&nbsp; &nbsp; 5.6901%&nbsp; &nbsp; 53.6176%21&nbsp; &nbsp; 5.3724%&nbsp; &nbsp; 58.9900%22&nbsp; &nbsp; 5.0159%&nbsp; &nbsp; 64.0059%23&nbsp; &nbsp; 4.6288%&nbsp; &nbsp; 68.6347%24&nbsp; &nbsp; 4.1808%&nbsp; &nbsp; 72.8155%25&nbsp; &nbsp; 3.7215%&nbsp; &nbsp; 76.5370%26&nbsp; &nbsp; 3.3078%&nbsp; &nbsp; 79.8448%27&nbsp; &nbsp; 2.9394%&nbsp; &nbsp; 82.7842%28&nbsp; &nbsp; 2.5628%&nbsp; &nbsp; 85.3470%29&nbsp; &nbsp; 2.2617%&nbsp; &nbsp; 87.6087%30&nbsp; &nbsp; 1.9705%&nbsp; &nbsp; 89.5792%31&nbsp; &nbsp; 1.6802%&nbsp; &nbsp; 91.2594%32&nbsp; &nbsp; 1.4488%&nbsp; &nbsp; 92.7082%33&nbsp; &nbsp; 1.2145%&nbsp; &nbsp; 93.9227%34&nbsp; &nbsp; 1.0216%&nbsp; &nbsp; 94.9443%35&nbsp; &nbsp; 0.8762%&nbsp; &nbsp; 95.8205%36&nbsp; &nbsp; 0.7291%&nbsp; &nbsp; 96.5496%37&nbsp; &nbsp; 0.6004%&nbsp; &nbsp; 97.1500%38&nbsp; &nbsp; 0.5224%&nbsp; &nbsp; 97.6724%39&nbsp; &nbsp; 0.4152%&nbsp; &nbsp; 98.0876%40&nbsp; &nbsp; 0.3365%&nbsp; &nbsp; 98.4241%41&nbsp; &nbsp; 0.2911%&nbsp; &nbsp; 98.7152%42&nbsp; &nbsp; 0.2378%&nbsp; &nbsp; 98.9530%43&nbsp; &nbsp; 0.1982%&nbsp; &nbsp; 99.1512%44&nbsp; &nbsp; 0.1641%&nbsp; &nbsp; 99.3153%45&nbsp; &nbsp; 0.1288%&nbsp; &nbsp; 99.4441%46&nbsp; &nbsp; 0.1093%&nbsp; &nbsp; 99.5534%47&nbsp; &nbsp; 0.0834%&nbsp; &nbsp; 99.6368%48&nbsp; &nbsp; 0.0728%&nbsp; &nbsp; 99.7096%49&nbsp; &nbsp; 0.0560%&nbsp; &nbsp; 99.7656%50&nbsp; &nbsp; 0.0430%&nbsp; &nbsp; 99.8086%51&nbsp; &nbsp; 0.0357%&nbsp; &nbsp; 99.8443%52&nbsp; &nbsp; 0.0338%&nbsp; &nbsp; 99.8781%53&nbsp; &nbsp; 0.0235%&nbsp; &nbsp; 99.9016%54&nbsp; &nbsp; 0.0176%&nbsp; &nbsp; 99.9192%55&nbsp; &nbsp; 0.0167%&nbsp; &nbsp; 99.9359%56&nbsp; &nbsp; 0.0125%&nbsp; &nbsp; 99.9484%57&nbsp; &nbsp; 0.0101%&nbsp; &nbsp; 99.9585%58&nbsp; &nbsp; 0.0084%&nbsp; &nbsp; 99.9669%59&nbsp; &nbsp; 0.0071%&nbsp; &nbsp; 99.9740%60&nbsp; &nbsp; 0.0047%&nbsp; &nbsp; 99.9787%61&nbsp; &nbsp; 0.0040%&nbsp; &nbsp; 99.9827%62&nbsp; &nbsp; 0.0027%&nbsp; &nbsp; 99.9854%63&nbsp; &nbsp; 0.0035%&nbsp; &nbsp; 99.9889%64&nbsp; &nbsp; 0.0111%&nbsp; &nbsp; 100.0000%[/CODE]4d6[CODE]Result&nbsp; &nbsp; Chance&nbsp; &nbsp; This or lower4&nbsp; &nbsp; 0.0822%&nbsp; &nbsp; 0.0822%5&nbsp; &nbsp; 0.3160%&nbsp; &nbsp; 0.3982%6&nbsp; &nbsp; 0.7751%&nbsp; &nbsp; 1.1733%7&nbsp; &nbsp; 1.5743%&nbsp; &nbsp; 2.7476%8&nbsp; &nbsp; 2.7164%&nbsp; &nbsp; 5.4640%9&nbsp; &nbsp; 4.0105%&nbsp; &nbsp; 9.4745%10&nbsp; &nbsp; 5.2899%&nbsp; &nbsp; 14.7644%11&nbsp; &nbsp; 6.3635%&nbsp; &nbsp; 21.1279%12&nbsp; &nbsp; 7.0969%&nbsp; &nbsp; 28.2248%13&nbsp; &nbsp; 7.2107%&nbsp; &nbsp; 35.4355%14&nbsp; &nbsp; 7.0459%&nbsp; &nbsp; 42.4814%15&nbsp; &nbsp; 6.7111%&nbsp; &nbsp; 49.1925%16&nbsp; &nbsp; 6.2232%&nbsp; &nbsp; 55.4157%17&nbsp; &nbsp; 5.7220%&nbsp; &nbsp; 61.1377%18&nbsp; &nbsp; 5.3536%&nbsp; &nbsp; 66.4913%19&nbsp; &nbsp; 4.8660%&nbsp; &nbsp; 71.3573%20&nbsp; &nbsp; 4.2929%&nbsp; &nbsp; 75.6502%21&nbsp; &nbsp; 3.7931%&nbsp; &nbsp; 79.4433%22&nbsp; &nbsp; 3.2663%&nbsp; &nbsp; 82.7096%23&nbsp; &nbsp; 2.7596%&nbsp; &nbsp; 85.4692%24&nbsp; &nbsp; 2.3864%&nbsp; &nbsp; 87.8556%25&nbsp; &nbsp; 2.0591%&nbsp; &nbsp; 89.9147%26&nbsp; &nbsp; 1.7645%&nbsp; &nbsp; 91.6792%27&nbsp; &nbsp; 1.4929%&nbsp; &nbsp; 93.1721%28&nbsp; &nbsp; 1.2207%&nbsp; &nbsp; 94.3928%29&nbsp; &nbsp; 1.0184%&nbsp; &nbsp; 95.4112%30&nbsp; &nbsp; 0.8515%&nbsp; &nbsp; 96.2627%31&nbsp; &nbsp; 0.6922%&nbsp; &nbsp; 96.9549%32&nbsp; &nbsp; 0.5767%&nbsp; &nbsp; 97.5316%33&nbsp; &nbsp; 0.4762%&nbsp; &nbsp; 98.0078%34&nbsp; &nbsp; 0.3858%&nbsp; &nbsp; 98.3936%35&nbsp; &nbsp; 0.3066%&nbsp; &nbsp; 98.7002%36&nbsp; &nbsp; 0.2495%&nbsp; &nbsp; 98.9497%37&nbsp; &nbsp; 0.1994%&nbsp; &nbsp; 99.1491%38&nbsp; &nbsp; 0.1684%&nbsp; &nbsp; 99.3175%39&nbsp; &nbsp; 0.1376%&nbsp; &nbsp; 99.4551%40&nbsp; &nbsp; 0.1112%&nbsp; &nbsp; 99.5663%41&nbsp; &nbsp; 0.0841%&nbsp; &nbsp; 99.6504%42&nbsp; &nbsp; 0.0689%&nbsp; &nbsp; 99.7193%43&nbsp; &nbsp; 0.0533%&nbsp; &nbsp; 99.7726%44&nbsp; &nbsp; 0.0484%&nbsp; &nbsp; 99.8210%45&nbsp; &nbsp; 0.0391%&nbsp; &nbsp; 99.8601%46&nbsp; &nbsp; 0.0295%&nbsp; &nbsp; 99.8896%47&nbsp; &nbsp; 0.0247%&nbsp; &nbsp; 99.9143%48&nbsp; &nbsp; 0.0173%&nbsp; &nbsp; 99.9316%49&nbsp; &nbsp; 0.0141%&nbsp; &nbsp; 99.9457%50&nbsp; &nbsp; 0.0114%&nbsp; &nbsp; 99.9571%51&nbsp; &nbsp; 0.0083%&nbsp; &nbsp; 99.9654%52&nbsp; &nbsp; 0.0073%&nbsp; &nbsp; 99.9727%53&nbsp; &nbsp; 0.0068%&nbsp; &nbsp; 99.9795%54&nbsp; &nbsp; 0.0037%&nbsp; &nbsp; 99.9832%55&nbsp; &nbsp; 0.0041%&nbsp; &nbsp; 99.9873%56&nbsp; &nbsp; 0.0031%&nbsp; &nbsp; 99.9904%57&nbsp; &nbsp; 0.0021%&nbsp; &nbsp; 99.9925%58&nbsp; &nbsp; 0.0022%&nbsp; &nbsp; 99.9947%59&nbsp; &nbsp; 0.0010%&nbsp; &nbsp; 99.9957%60&nbsp; &nbsp; 0.0010%&nbsp; &nbsp; 99.9967%61&nbsp; &nbsp; 0.0006%&nbsp; &nbsp; 99.9973%62&nbsp; &nbsp; 0.0009%&nbsp; &nbsp; 99.9982%63&nbsp; &nbsp; 0.0002%&nbsp; &nbsp; 99.9984%64&nbsp; &nbsp; 0.0016%&nbsp; &nbsp; 100.0000%[/CODE]6d6[CODE]Result&nbsp; &nbsp; Chance&nbsp; &nbsp; This or lower4&nbsp; &nbsp; 0.0000%&nbsp; &nbsp; 0.0000%5&nbsp; &nbsp; 0.0000%&nbsp; &nbsp; 0.0000%6&nbsp; &nbsp; 0.0035%&nbsp; &nbsp; 0.0035%7&nbsp; &nbsp; 0.0129%&nbsp; &nbsp; 0.0164%8&nbsp; &nbsp; 0.0432%&nbsp; &nbsp; 0.0596%9&nbsp; &nbsp; 0.1218%&nbsp; &nbsp; 0.1814%10&nbsp; &nbsp; 0.2717%&nbsp; &nbsp; 0.4531%11&nbsp; &nbsp; 0.5390%&nbsp; &nbsp; 0.9921%12&nbsp; &nbsp; 0.9246%&nbsp; &nbsp; 1.9167%13&nbsp; &nbsp; 1.4511%&nbsp; &nbsp; 3.3678%14&nbsp; &nbsp; 2.0857%&nbsp; &nbsp; 5.4535%15&nbsp; &nbsp; 2.8246%&nbsp; &nbsp; 8.2781%16&nbsp; &nbsp; 3.5149%&nbsp; &nbsp; 11.7930%17&nbsp; &nbsp; 4.1072%&nbsp; &nbsp; 15.9002%18&nbsp; &nbsp; 4.6856%&nbsp; &nbsp; 20.5858%19&nbsp; &nbsp; 5.0541%&nbsp; &nbsp; 25.6399%20&nbsp; &nbsp; 5.2858%&nbsp; &nbsp; 30.9257%21&nbsp; &nbsp; 5.4137%&nbsp; &nbsp; 36.3394%22&nbsp; &nbsp; 5.4300%&nbsp; &nbsp; 41.7694%23&nbsp; &nbsp; 5.3415%&nbsp; &nbsp; 47.1109%24&nbsp; &nbsp; 5.2088%&nbsp; &nbsp; 52.3197%25&nbsp; &nbsp; 4.9789%&nbsp; &nbsp; 57.2986%26&nbsp; &nbsp; 4.6614%&nbsp; &nbsp; 61.9600%27&nbsp; &nbsp; 4.4041%&nbsp; &nbsp; 66.3641%28&nbsp; &nbsp; 4.0626%&nbsp; &nbsp; 70.4267%29&nbsp; &nbsp; 3.6902%&nbsp; &nbsp; 74.1169%30&nbsp; &nbsp; 3.3489%&nbsp; &nbsp; 77.4658%31&nbsp; &nbsp; 2.9935%&nbsp; &nbsp; 80.4593%32&nbsp; &nbsp; 2.6821%&nbsp; &nbsp; 83.1414%33&nbsp; &nbsp; 2.3611%&nbsp; &nbsp; 85.5025%34&nbsp; &nbsp; 2.0896%&nbsp; &nbsp; 87.5921%35&nbsp; &nbsp; 1.8154%&nbsp; &nbsp; 89.4075%36&nbsp; &nbsp; 1.6158%&nbsp; &nbsp; 91.0233%37&nbsp; &nbsp; 1.3908%&nbsp; &nbsp; 92.4141%38&nbsp; &nbsp; 1.1733%&nbsp; &nbsp; 93.5874%39&nbsp; &nbsp; 1.0354%&nbsp; &nbsp; 94.6228%40&nbsp; &nbsp; 0.8700%&nbsp; &nbsp; 95.4928%41&nbsp; &nbsp; 0.7449%&nbsp; &nbsp; 96.2377%42&nbsp; &nbsp; 0.6204%&nbsp; &nbsp; 96.8581%43&nbsp; &nbsp; 0.5189%&nbsp; &nbsp; 97.3770%44&nbsp; &nbsp; 0.4418%&nbsp; &nbsp; 97.8188%45&nbsp; &nbsp; 0.3733%&nbsp; &nbsp; 98.1921%46&nbsp; &nbsp; 0.3147%&nbsp; &nbsp; 98.5068%47&nbsp; &nbsp; 0.2627%&nbsp; &nbsp; 98.7695%48&nbsp; &nbsp; 0.2096%&nbsp; &nbsp; 98.9791%49&nbsp; &nbsp; 0.1881%&nbsp; &nbsp; 99.1672%50&nbsp; &nbsp; 0.1497%&nbsp; &nbsp; 99.3169%51&nbsp; &nbsp; 0.1259%&nbsp; &nbsp; 99.4428%52&nbsp; &nbsp; 0.1010%&nbsp; &nbsp; 99.5438%53&nbsp; &nbsp; 0.0857%&nbsp; &nbsp; 99.6295%54&nbsp; &nbsp; 0.0692%&nbsp; &nbsp; 99.6987%55&nbsp; &nbsp; 0.0528%&nbsp; &nbsp; 99.7515%56&nbsp; &nbsp; 0.0472%&nbsp; &nbsp; 99.7987%57&nbsp; &nbsp; 0.0390%&nbsp; &nbsp; 99.8377%58&nbsp; &nbsp; 0.0305%&nbsp; &nbsp; 99.8682%59&nbsp; &nbsp; 0.0239%&nbsp; &nbsp; 99.8921%60&nbsp; &nbsp; 0.0206%&nbsp; &nbsp; 99.9127%61&nbsp; &nbsp; 0.0140%&nbsp; &nbsp; 99.9267%62&nbsp; &nbsp; 0.0137%&nbsp; &nbsp; 99.9404%63&nbsp; &nbsp; 0.0124%&nbsp; &nbsp; 99.9528%64&nbsp; &nbsp; 0.0472%&nbsp; &nbsp; 100.0000%[/CODE]Some things to note:<ul>
<li data-xf-list-type="ul"> Normally I'd do a complete solution rather than a monte carlo, but this was faster.&nbsp; The results should be indicative considering the number of repetitions versus the die size.</li>
<li data-xf-list-type="ul"> The cumulative chance is the chance that number or lower is rolled.&nbsp; To calculate the chance of rolling X or higher, find (X-1) on the chart and subtract that cumulative probability from 1.</li>
<li data-xf-list-type="ul"> The exploding mechanic stretches the range of probable results somewhat.</li>
<li data-xf-list-type="ul"> The exploding results shifts the 50% line for 5d6 up.&nbsp; 18 has a 64% success rate.&nbsp; 19 has a 58% success rate.&nbsp; 20 has a 53% success rate.</li>
<li data-xf-list-type="ul"> 4d6 achieves an 18 39% of the time, a 19 33% of the time, and a 20 29% of the time.</li>
<li data-xf-list-type="ul"> 6d6 hits the same targets 84%, 79%, and 74% respectively.</li>
</ul></blockquote>

[QUOTE="Nagol, post: 6231406, member: 23935"] I had a few minutes this afternoon to play around with the scenario using exploding dice. My assumption for exploding dice is on a roll of a 6, another die was rolled and added to the total and that continued until no further sixes were rolled. I capped the maximum at 64+ points. I ran a million result set and came up with the following probability charts: For 5d6: [CODE] Result Chance This or lower 4 0.0000% 0.0000% 5 0.0143% 0.0143% 6 0.0693% 0.0836% 7 0.1983% 0.2819% 8 0.4537% 0.7356% 9 0.8963% 1.6319% 10 1.5496% 3.1815% 11 2.3896% 5.5711% 12 3.3756% 8.9467% 13 4.2853% 13.2320% 14 5.1132% 18.3452% 15 5.6468% 23.9920% 16 5.9765% 29.9685% 17 6.0853% 36.0538% 18 6.0031% 42.0569% 19 5.8706% 47.9275% 20 5.6901% 53.6176% 21 5.3724% 58.9900% 22 5.0159% 64.0059% 23 4.6288% 68.6347% 24 4.1808% 72.8155% 25 3.7215% 76.5370% 26 3.3078% 79.8448% 27 2.9394% 82.7842% 28 2.5628% 85.3470% 29 2.2617% 87.6087% 30 1.9705% 89.5792% 31 1.6802% 91.2594% 32 1.4488% 92.7082% 33 1.2145% 93.9227% 34 1.0216% 94.9443% 35 0.8762% 95.8205% 36 0.7291% 96.5496% 37 0.6004% 97.1500% 38 0.5224% 97.6724% 39 0.4152% 98.0876% 40 0.3365% 98.4241% 41 0.2911% 98.7152% 42 0.2378% 98.9530% 43 0.1982% 99.1512% 44 0.1641% 99.3153% 45 0.1288% 99.4441% 46 0.1093% 99.5534% 47 0.0834% 99.6368% 48 0.0728% 99.7096% 49 0.0560% 99.7656% 50 0.0430% 99.8086% 51 0.0357% 99.8443% 52 0.0338% 99.8781% 53 0.0235% 99.9016% 54 0.0176% 99.9192% 55 0.0167% 99.9359% 56 0.0125% 99.9484% 57 0.0101% 99.9585% 58 0.0084% 99.9669% 59 0.0071% 99.9740% 60 0.0047% 99.9787% 61 0.0040% 99.9827% 62 0.0027% 99.9854% 63 0.0035% 99.9889% 64 0.0111% 100.0000% [/CODE] 4d6 [CODE] Result Chance This or lower 4 0.0822% 0.0822% 5 0.3160% 0.3982% 6 0.7751% 1.1733% 7 1.5743% 2.7476% 8 2.7164% 5.4640% 9 4.0105% 9.4745% 10 5.2899% 14.7644% 11 6.3635% 21.1279% 12 7.0969% 28.2248% 13 7.2107% 35.4355% 14 7.0459% 42.4814% 15 6.7111% 49.1925% 16 6.2232% 55.4157% 17 5.7220% 61.1377% 18 5.3536% 66.4913% 19 4.8660% 71.3573% 20 4.2929% 75.6502% 21 3.7931% 79.4433% 22 3.2663% 82.7096% 23 2.7596% 85.4692% 24 2.3864% 87.8556% 25 2.0591% 89.9147% 26 1.7645% 91.6792% 27 1.4929% 93.1721% 28 1.2207% 94.3928% 29 1.0184% 95.4112% 30 0.8515% 96.2627% 31 0.6922% 96.9549% 32 0.5767% 97.5316% 33 0.4762% 98.0078% 34 0.3858% 98.3936% 35 0.3066% 98.7002% 36 0.2495% 98.9497% 37 0.1994% 99.1491% 38 0.1684% 99.3175% 39 0.1376% 99.4551% 40 0.1112% 99.5663% 41 0.0841% 99.6504% 42 0.0689% 99.7193% 43 0.0533% 99.7726% 44 0.0484% 99.8210% 45 0.0391% 99.8601% 46 0.0295% 99.8896% 47 0.0247% 99.9143% 48 0.0173% 99.9316% 49 0.0141% 99.9457% 50 0.0114% 99.9571% 51 0.0083% 99.9654% 52 0.0073% 99.9727% 53 0.0068% 99.9795% 54 0.0037% 99.9832% 55 0.0041% 99.9873% 56 0.0031% 99.9904% 57 0.0021% 99.9925% 58 0.0022% 99.9947% 59 0.0010% 99.9957% 60 0.0010% 99.9967% 61 0.0006% 99.9973% 62 0.0009% 99.9982% 63 0.0002% 99.9984% 64 0.0016% 100.0000% [/CODE] 6d6 [CODE] Result Chance This or lower 4 0.0000% 0.0000% 5 0.0000% 0.0000% 6 0.0035% 0.0035% 7 0.0129% 0.0164% 8 0.0432% 0.0596% 9 0.1218% 0.1814% 10 0.2717% 0.4531% 11 0.5390% 0.9921% 12 0.9246% 1.9167% 13 1.4511% 3.3678% 14 2.0857% 5.4535% 15 2.8246% 8.2781% 16 3.5149% 11.7930% 17 4.1072% 15.9002% 18 4.6856% 20.5858% 19 5.0541% 25.6399% 20 5.2858% 30.9257% 21 5.4137% 36.3394% 22 5.4300% 41.7694% 23 5.3415% 47.1109% 24 5.2088% 52.3197% 25 4.9789% 57.2986% 26 4.6614% 61.9600% 27 4.4041% 66.3641% 28 4.0626% 70.4267% 29 3.6902% 74.1169% 30 3.3489% 77.4658% 31 2.9935% 80.4593% 32 2.6821% 83.1414% 33 2.3611% 85.5025% 34 2.0896% 87.5921% 35 1.8154% 89.4075% 36 1.6158% 91.0233% 37 1.3908% 92.4141% 38 1.1733% 93.5874% 39 1.0354% 94.6228% 40 0.8700% 95.4928% 41 0.7449% 96.2377% 42 0.6204% 96.8581% 43 0.5189% 97.3770% 44 0.4418% 97.8188% 45 0.3733% 98.1921% 46 0.3147% 98.5068% 47 0.2627% 98.7695% 48 0.2096% 98.9791% 49 0.1881% 99.1672% 50 0.1497% 99.3169% 51 0.1259% 99.4428% 52 0.1010% 99.5438% 53 0.0857% 99.6295% 54 0.0692% 99.6987% 55 0.0528% 99.7515% 56 0.0472% 99.7987% 57 0.0390% 99.8377% 58 0.0305% 99.8682% 59 0.0239% 99.8921% 60 0.0206% 99.9127% 61 0.0140% 99.9267% 62 0.0137% 99.9404% 63 0.0124% 99.9528% 64 0.0472% 100.0000% [/CODE] Some things to note: [List] [*] Normally I'd do a complete solution rather than a monte carlo, but this was faster. The results should be indicative considering the number of repetitions versus the die size. [*] The cumulative chance is the chance that number or lower is rolled. To calculate the chance of rolling X or higher, find (X-1) on the chart and subtract that cumulative probability from 1. [*] The exploding mechanic stretches the range of probable results somewhat. [*] The exploding results shifts the 50% line for 5d6 up. 18 has a 64% success rate. 19 has a 58% success rate. 20 has a 53% success rate. [*] 4d6 achieves an 18 39% of the time, a 19 33% of the time, and a 20 29% of the time. [*] 6d6 hits the same targets 84%, 79%, and 74% respectively. [/LIST] [/QUOTE]

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