I'm just wondering if anyone has come across a mathhammer spreadsheet that incorporates tetto eko's re rolling 1s ability in the magic phase. If not does anyone have the ability to do this?
http://imgur.com/MJ5MMDi I copypasted this from this site. Dont remember the thread. Not really what you are looking for, but something like it.
This is my attempt to calculate the chance of rolling "at least X" while rerolling 1's. I rounded to the hundredths, so there are some 100%'s that are more like 99.999% ... but that's pretty darn close. Code: num dice roll 1 2 3 4 5 6 1 100 100 100 100 100 100 2 97.22 100 100 100 100 100 3 77.78 99.92 100 100 100 100 4 58.33 98.84 100 100 100 100 5 38.89 93.98 99.95 100 100 100 6 19.44 85.34 99.59 100 100 100 7 0 72.91 98.18 99.98 100 100 8 0 56.71 94.99 99.86 100 100 9 0 37.8 89.27 99.42 99.99 100 10 0 22.68 80.34 98.28 99.95 100 11 0 11.34 68.05 95.95 99.81 100 12 0 3.78 53.87 91.8 99.41 99.98 13 0 0 39.27 85.27 98.51 99.94 14 0 0 25.72 76.25 96.73 99.8 15 0 0 14.7 65.04 93.65 99.46 16 0 0 7.34 52.37 88.83 98.74 17 0 0 2.93 39.41 82.01 97.38 18 0 0 0.73 27.48 73.18 95.05 19 0 0 0 17.51 62.66 91.42 20 0 0 0 10 51.15 86.21 21 0 0 0 4.99 39.52 79.26 22 0 0 0 2.13 28.67 70.67 23 0 0 0 0.7 19.38 60.78 24 0 0 0 0.13 12.09 50.15 25 0 0 0 0 6.87 39.49 Also the chances of rolling double 6's (or more): 1 dice: 0% 2 dice: 3.78108025% 3 dice: 9.8731189379975% 4 dice: 17.234714852663% 5 dice: 25.14205299987% 6 dice: 33.104778444438% And the chances of breaking concentration: 1 die: 22.223% 2 dice: 7.717284% Feel free to check my math! I wrote a PHP script to run these numbers and they checked out for my manual calculations for 2 dice ... I just went with whatever it told me for more than 2 dice. To get the percentages I changed the weight of each side of the die by making 2-6 worth 1/6 + 1/36 and making a 1 worth 1/36 (since you have a 1/6 change to roll a 1 and then a 1/6 chance to reroll any other number making each number worth 1/6 * 1/6 more likely to happen)