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Preview: Brutal Ability
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<blockquote data-quote="FireLance" data-source="post: 4429107" data-attributes="member: 3424"><p>Okay, let's try it again. Apparently, my earlier example using a d10 brutal 2 weapon wasn't clear enough. Consider all the possible outcomes of 1,728 (12^3) damage rolls with a d12 brutal 2 weapon. After the first roll:</p><p style="margin-left: 20px">144 (1/12) of them will be 12.</p> <p style="margin-left: 20px">144 (1/12) of them will be 11.</p> <p style="margin-left: 20px">144 (1/12) of them will be 10.</p> <p style="margin-left: 20px">144 (1/12) of them will be 9.</p> <p style="margin-left: 20px">144 (1/12) of them will be 8.</p> <p style="margin-left: 20px">144 (1/12) of them will be 7.</p> <p style="margin-left: 20px">144 (1/12) of them will be 6.</p> <p style="margin-left: 20px">144 (1/12) of them will be 5.</p> <p style="margin-left: 20px">144 (1/12) of them will be 4.</p> <p style="margin-left: 20px">144 (1/12) of them will be 3.</p> <p style="margin-left: 20px">288 (1/6) of them will be re-rolled and still undetermined.</p><p>Now, consider all the possible outcomes of the 288 re-rolls:</p><p style="margin-left: 20px">24 (1/12) of them will be 12.</p> <p style="margin-left: 20px">24 (1/12) of them will be 11.</p> <p style="margin-left: 20px">24 (1/12) of them will be 10.</p> <p style="margin-left: 20px">24 (1/12) of them will be 9.</p> <p style="margin-left: 20px">24 (1/12) of them will be 8.</p> <p style="margin-left: 20px">24 (1/12) of them will be 7.</p> <p style="margin-left: 20px">24 (1/12) of them will be 6.</p> <p style="margin-left: 20px">24 (1/12) of them will be 5.</p> <p style="margin-left: 20px">24 (1/12) of them will be 4.</p> <p style="margin-left: 20px">24 (1/12) of them will be 3.</p> <p style="margin-left: 20px">48 (1/6) of them will be re-rolled and still undetermined.</p><p>So, by the end of the first re-roll, all the possible outcomes are:</p><p style="margin-left: 20px">168 (14/144 or 9.72%) of them will be 12.</p> <p style="margin-left: 20px">168 (14/144 or 9.72%) of them will be 11.</p> <p style="margin-left: 20px">168 (14/144 or 9.72%) of them will be 10.</p> <p style="margin-left: 20px">168 (14/144 or 9.72%) of them will be 9.</p> <p style="margin-left: 20px">168 (14/144 or 9.72%) of them will be 8.</p> <p style="margin-left: 20px">168 (14/144 or 9.72%) of them will be 7.</p> <p style="margin-left: 20px">168 (14/144 or 9.72%) of them will be 6.</p> <p style="margin-left: 20px">168 (14/144 or 9.72%) of them will be 5.</p> <p style="margin-left: 20px">168 (14/144 or 9.72%) of them will be 4.</p> <p style="margin-left: 20px">168 (14/144 or 9.72%) of them will be 3.</p> <p style="margin-left: 20px">48 (1/36 or 2.77%) of them will be re-rolled and still undetermined.</p><p>Now, consider all the possible outcomes of the 48 second re-rolls:</p><p style="margin-left: 20px">4 (1/12) of them will be 12.</p> <p style="margin-left: 20px">4 (1/12) of them will be 11.</p> <p style="margin-left: 20px">4 (1/12) of them will be 10.</p> <p style="margin-left: 20px">4 (1/12) of them will be 9.</p> <p style="margin-left: 20px">4 (1/12) of them will be 8.</p> <p style="margin-left: 20px">4 (1/12) of them will be 7.</p> <p style="margin-left: 20px">4 (1/12) of them will be 6.</p> <p style="margin-left: 20px">4 (1/12) of them will be 5.</p> <p style="margin-left: 20px">4 (1/12) of them will be 4.</p> <p style="margin-left: 20px">4 (1/12) of them will be 3.</p> <p style="margin-left: 20px">8 (1/6) of them will be re-rolled and still undetermined.</p><p>So, by the end of the second re-roll, all the possible outcomes are:</p><p style="margin-left: 20px">172 (43/432 or 9.95%) of them will be 12.</p> <p style="margin-left: 20px">172 (43/432 or 9.95%) of them will be 11.</p> <p style="margin-left: 20px">172 (43/432 or 9.95%) of them will be 10.</p> <p style="margin-left: 20px">172 (43/432 or 9.95%) of them will be 9.</p> <p style="margin-left: 20px">172 (43/432 or 9.95%) of them will be 8.</p> <p style="margin-left: 20px">172 (43/432 or 9.95%) of them will be 7.</p> <p style="margin-left: 20px">172 (43/432 or 9.95%) of them will be 6.</p> <p style="margin-left: 20px">172 (43/432 or 9.95%) of them will be 5.</p> <p style="margin-left: 20px">172 (43/432 or 9.95%) of them will be 4.</p> <p style="margin-left: 20px">172 (43/432 or 9.95%) of them will be 3.</p> <p style="margin-left: 20px">8 (1/216 or 0.46%) of them will be re-rolled and still undetermined.</p><p>As mentioned, there is an equal chance of getting each number from 3 to 12, which is essentially d10+2. 8 possibilities are still undetermined (you would have to do a third re-roll; this represents the 1/6 x 1/6 x 1/6 chance that you get a 1 or 2 on the initial roll, the first re-roll and the second re-roll), but hopefully it is obvious by now that those 8 re-rolls would still be distributed evenly between 3-12, with a small chance of a fourth re-roll.</p></blockquote><p></p>
[QUOTE="FireLance, post: 4429107, member: 3424"] Okay, let's try it again. Apparently, my earlier example using a d10 brutal 2 weapon wasn't clear enough. Consider all the possible outcomes of 1,728 (12^3) damage rolls with a d12 brutal 2 weapon. After the first roll: [INDENT]144 (1/12) of them will be 12. 144 (1/12) of them will be 11. 144 (1/12) of them will be 10. 144 (1/12) of them will be 9. 144 (1/12) of them will be 8. 144 (1/12) of them will be 7. 144 (1/12) of them will be 6. 144 (1/12) of them will be 5. 144 (1/12) of them will be 4. 144 (1/12) of them will be 3. 288 (1/6) of them will be re-rolled and still undetermined.[/INDENT] Now, consider all the possible outcomes of the 288 re-rolls: [INDENT]24 (1/12) of them will be 12. 24 (1/12) of them will be 11. 24 (1/12) of them will be 10. 24 (1/12) of them will be 9. 24 (1/12) of them will be 8. 24 (1/12) of them will be 7. 24 (1/12) of them will be 6. 24 (1/12) of them will be 5. 24 (1/12) of them will be 4. 24 (1/12) of them will be 3. 48 (1/6) of them will be re-rolled and still undetermined.[/INDENT]So, by the end of the first re-roll, all the possible outcomes are: [INDENT]168 (14/144 or 9.72%) of them will be 12. 168 (14/144 or 9.72%) of them will be 11. 168 (14/144 or 9.72%) of them will be 10. 168 (14/144 or 9.72%) of them will be 9. 168 (14/144 or 9.72%) of them will be 8. 168 (14/144 or 9.72%) of them will be 7. 168 (14/144 or 9.72%) of them will be 6. 168 (14/144 or 9.72%) of them will be 5. 168 (14/144 or 9.72%) of them will be 4. 168 (14/144 or 9.72%) of them will be 3. 48 (1/36 or 2.77%) of them will be re-rolled and still undetermined.[/INDENT] Now, consider all the possible outcomes of the 48 second re-rolls: [INDENT]4 (1/12) of them will be 12. 4 (1/12) of them will be 11. 4 (1/12) of them will be 10. 4 (1/12) of them will be 9. 4 (1/12) of them will be 8. 4 (1/12) of them will be 7. 4 (1/12) of them will be 6. 4 (1/12) of them will be 5. 4 (1/12) of them will be 4. 4 (1/12) of them will be 3. 8 (1/6) of them will be re-rolled and still undetermined.[/INDENT]So, by the end of the second re-roll, all the possible outcomes are: [INDENT]172 (43/432 or 9.95%) of them will be 12. 172 (43/432 or 9.95%) of them will be 11. 172 (43/432 or 9.95%) of them will be 10. 172 (43/432 or 9.95%) of them will be 9. 172 (43/432 or 9.95%) of them will be 8. 172 (43/432 or 9.95%) of them will be 7. 172 (43/432 or 9.95%) of them will be 6. 172 (43/432 or 9.95%) of them will be 5. 172 (43/432 or 9.95%) of them will be 4. 172 (43/432 or 9.95%) of them will be 3. 8 (1/216 or 0.46%) of them will be re-rolled and still undetermined.[/INDENT]As mentioned, there is an equal chance of getting each number from 3 to 12, which is essentially d10+2. 8 possibilities are still undetermined (you would have to do a third re-roll; this represents the 1/6 x 1/6 x 1/6 chance that you get a 1 or 2 on the initial roll, the first re-roll and the second re-roll), but hopefully it is obvious by now that those 8 re-rolls would still be distributed evenly between 3-12, with a small chance of a fourth re-roll. [/QUOTE]
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