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Quick Great Weapon Style math question
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<blockquote data-quote="Bacon Bits" data-source="post: 6596882" data-attributes="member: 6777737"><p>Theoretically, it's just fine. Indeed, this is the easiest way to calculate the average of a GWF damage die:</p><p></p><p>A 1d6 has an average of 3.5. ( 1 + 2 + 3 + 4 + 5 + 6 ) / 6 = 3.5.</p><p></p><p>If we change it so that the values of 1 and 2 are instead the average for a 1d6, we get: (3.5 + 3.5 + 3 + 4 + 5 + 6) / 6 = 4.167 (4 and 1/6).</p><p></p><p>Thus 2d6 with rerolling 1s and 2s once is 8.33 (8 and 1/3). This is great for theoretical and expected damage calculations.</p><p></p><p>For practical, in game use, it's not that useful. Partially because you're not accurately modeling the damage (3 damage average is what you get with 1d5, not 1d6) but mostly because rolling dice is fun. I could see if if you're using a VTT, though.</p><p></p><p>If you really want to eliminate dice re-rolling, you could use a deck of cards. You'd need 4 of each card 3-6 and 1 of each card 1-2 for 26 cards total to represent 1d6 with one reroll of 1s and 2s. Of course, you'd have to riffle shuffle 7 times, draw a card, put the card back, riffle shuffle 7 times, and then draw a card, but you'd never need to re-roll!</p><p></p><p>If you wanted to model the greatsword with GWF with one deck and one draw, you'd need 324 cards. (Card value × number of cards): 2 × 1, 3 × 2, 4 × 9, 5 × 16, 6 × 32, 7 × 48, 8 × 56, 9 × 64, 10 × 48, 11 × 32, 12 × 16. Having played a Battle of Wits deck before, however, I think most people would consider this unacceptably difficult to shuffle.</p><p></p><p>If you also have GWF and Savage Attacker, you'll need a staggering 104,976 cards to accurately model the outcomes with a single draw: 2 × 1, 3 × 8, 4 × 135, 5 × 640, 6 × 2,816, 7 × 8,064, 8 × 15,232, 9 × 25,088, 10 × 24,192, 11 × 18,688, 12 × 10,112. Average damage 9.46.</p><p></p><p>[It's a very, very, <em>very</em> slow day at work.]</p></blockquote><p></p>
[QUOTE="Bacon Bits, post: 6596882, member: 6777737"] Theoretically, it's just fine. Indeed, this is the easiest way to calculate the average of a GWF damage die: A 1d6 has an average of 3.5. ( 1 + 2 + 3 + 4 + 5 + 6 ) / 6 = 3.5. If we change it so that the values of 1 and 2 are instead the average for a 1d6, we get: (3.5 + 3.5 + 3 + 4 + 5 + 6) / 6 = 4.167 (4 and 1/6). Thus 2d6 with rerolling 1s and 2s once is 8.33 (8 and 1/3). This is great for theoretical and expected damage calculations. For practical, in game use, it's not that useful. Partially because you're not accurately modeling the damage (3 damage average is what you get with 1d5, not 1d6) but mostly because rolling dice is fun. I could see if if you're using a VTT, though. If you really want to eliminate dice re-rolling, you could use a deck of cards. You'd need 4 of each card 3-6 and 1 of each card 1-2 for 26 cards total to represent 1d6 with one reroll of 1s and 2s. Of course, you'd have to riffle shuffle 7 times, draw a card, put the card back, riffle shuffle 7 times, and then draw a card, but you'd never need to re-roll! If you wanted to model the greatsword with GWF with one deck and one draw, you'd need 324 cards. (Card value × number of cards): 2 × 1, 3 × 2, 4 × 9, 5 × 16, 6 × 32, 7 × 48, 8 × 56, 9 × 64, 10 × 48, 11 × 32, 12 × 16. Having played a Battle of Wits deck before, however, I think most people would consider this unacceptably difficult to shuffle. If you also have GWF and Savage Attacker, you'll need a staggering 104,976 cards to accurately model the outcomes with a single draw: 2 × 1, 3 × 8, 4 × 135, 5 × 640, 6 × 2,816, 7 × 8,064, 8 × 15,232, 9 × 25,088, 10 × 24,192, 11 × 18,688, 12 × 10,112. Average damage 9.46. [It's a very, very, [I]very[/I] slow day at work.] [/QUOTE]
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