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Need a Programmer for Number-crunching
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<blockquote data-quote="babomb" data-source="post: 4649419" data-attributes="member: 1316"><p>Well, I went ahead and crunched the numbers for all possible combinations. I'm reporting these as probabilities, rather than # of people in a population.</p><p></p><p>[code]*********Full population **********</p><p>*********Highest Stat Probabilities **********</p><p>3: 9.8464e-15</p><p>4: 4.0321e-11</p><p>5: 9.80607e-09</p><p>6: 6.20323e-07</p><p>7: 1.74701e-05</p><p>8: 0.000285572</p><p>9: 0.00247724</p><p>10: 0.0128441</p><p>11: 0.0439796</p><p>12: 0.105591</p><p>13: 0.181022</p><p>14: 0.212014</p><p>15: 0.194225</p><p>16: 0.141452</p><p>17: 0.0786341</p><p>18: 0.0274583</p><p>*********Point Buy Probabilities **********</p><p>-66: 9.8464e-15</p><p>-63: 1.77235e-13</p><p>-60: 1.68373e-12</p><p>-58: 5.90784e-13</p><p>-57: 1.06341e-11</p><p>-56: 8.86176e-13</p><p>-55: 1.01024e-11</p><p>-54: 5.06597e-11</p><p>-53: 1.48878e-11</p><p>-52: 9.10989e-11</p><p>-51: 1.97499e-10</p><p>-50: 1.46278e-10</p><p>-49: 5.45884e-10</p><p>-48: 7.24094e-10</p><p>-47: 1.00817e-09</p><p>-46: 2.50241e-09</p><p>-45: 2.85579e-09</p><p>-44: 5.42827e-09</p><p>-43: 9.67557e-09</p><p>-42: 1.23972e-08</p><p>-41: 2.38284e-08</p><p>-40: 3.5134e-08</p><p>-39: 5.2566e-08</p><p>-38: 9.03586e-08</p><p>-37: 1.26366e-07</p><p>-36: 2.03067e-07</p><p>-35: 3.11105e-07</p><p>-34: 4.493e-07</p><p>-33: 7.04594e-07</p><p>-32: 1.02198e-06</p><p>-31: 1.51338e-06</p><p>-30: 2.25833e-06</p><p>-29: 3.22787e-06</p><p>-28: 4.75332e-06</p><p>-27: 6.81073e-06</p><p>-26: 9.7205e-06</p><p>-25: 1.39073e-05</p><p>-24: 1.95538e-05</p><p>-23: 2.75096e-05</p><p>-22: 3.84192e-05</p><p>-21: 5.31432e-05</p><p>-20: 7.33872e-05</p><p>-19: 0.000100377</p><p>-18: 0.000136571</p><p>-17: 0.000184676</p><p>-16: 0.000248016</p><p>-15: 0.000330771</p><p>-14: 0.000438796</p><p>-13: 0.000577172</p><p>-12: 0.000755343</p><p>-11: 0.000981007</p><p>-10: 0.00126533</p><p>-9: 0.00162207</p><p>-8: 0.00206266</p><p>-7: 0.00260695</p><p>-6: 0.00326818</p><p>-5: 0.0040687</p><p>-4: 0.00502449</p><p>-3: 0.00615798</p><p>-2: 0.00748389</p><p>-1: 0.00902245</p><p>0: 0.0107839</p><p>1: 0.0127779</p><p>2: 0.0150095</p><p>3: 0.0174652</p><p>4: 0.0201393</p><p>5: 0.0229892</p><p>6: 0.0259826</p><p>7: 0.0290478</p><p>8: 0.032115</p><p>9: 0.0350865</p><p>10: 0.0378621</p><p>11: 0.0403307</p><p>12: 0.0423847</p><p>13: 0.0439331</p><p>14: 0.0448897</p><p>15: 0.0452203</p><p>16: 0.0448897</p><p>17: 0.0439331</p><p>18: 0.0423847</p><p>19: 0.0403307</p><p>20: 0.0378621</p><p>21: 0.0350865</p><p>22: 0.032115</p><p>23: 0.0290478</p><p>24: 0.0259826</p><p>25: 0.0229892</p><p>26: 0.0201393</p><p>27: 0.0174652</p><p>28: 0.0150095</p><p>29: 0.0127779</p><p>30: 0.0107839</p><p>31: 0.00902245</p><p>32: 0.00748389</p><p>33: 0.00615798</p><p>34: 0.00502449</p><p>35: 0.0040687</p><p>36: 0.00326818</p><p>37: 0.00260695</p><p>38: 0.00206266</p><p>39: 0.00162207</p><p>40: 0.00126533</p><p>41: 0.000981007</p><p>42: 0.000755343</p><p>43: 0.000577172</p><p>44: 0.000438796</p><p>45: 0.000330771</p><p>46: 0.000248016</p><p>47: 0.000184676</p><p>48: 0.000136571</p><p>49: 0.000100377</p><p>50: 7.33872e-05</p><p>51: 5.31432e-05</p><p>52: 3.84192e-05</p><p>53: 2.75096e-05</p><p>54: 1.95538e-05</p><p>55: 1.39073e-05</p><p>56: 9.7205e-06</p><p>57: 6.81073e-06</p><p>58: 4.75332e-06</p><p>59: 3.22787e-06</p><p>60: 2.25833e-06</p><p>61: 1.51338e-06</p><p>62: 1.02198e-06</p><p>63: 7.04594e-07</p><p>64: 4.493e-07</p><p>65: 3.11105e-07</p><p>66: 2.03067e-07</p><p>67: 1.26366e-07</p><p>68: 9.03586e-08</p><p>69: 5.2566e-08</p><p>70: 3.5134e-08</p><p>71: 2.38284e-08</p><p>72: 1.23972e-08</p><p>73: 9.67557e-09</p><p>74: 5.42827e-09</p><p>75: 2.85579e-09</p><p>76: 2.50241e-09</p><p>77: 1.00817e-09</p><p>78: 7.24094e-10</p><p>79: 5.45884e-10</p><p>80: 1.46278e-10</p><p>81: 1.97499e-10</p><p>82: 9.10989e-11</p><p>83: 1.48878e-11</p><p>84: 5.06597e-11</p><p>85: 1.01024e-11</p><p>86: 8.86176e-13</p><p>87: 1.06341e-11</p><p>88: 5.90784e-13</p><p>90: 1.68373e-12</p><p>93: 1.77235e-13</p><p>96: 9.8464e-15</p><p></p><p>***************heroes*************</p><p>Probability of getting a hero: 0.746229</p><p>*********Highest Stat Probabilities **********</p><p>12: 0.0654969</p><p>13: 0.154835</p><p>14: 0.237749</p><p>15: 0.227849</p><p>16: 0.178433</p><p>17: 0.0997931</p><p>18: 0.0358443</p><p>*********Point Buy Probabilities **********</p><p>-2: 2.67998e-07</p><p>-1: 4.21899e-06</p><p>0: 1.88056e-05</p><p>1: 4.27796e-05</p><p>2: 9.86008e-05</p><p>3: 0.000372585</p><p>4: 0.00115789</p><p>5: 0.00264444</p><p>6: 0.00484085</p><p>7: 0.00785077</p><p>8: 0.0134853</p><p>9: 0.0227038</p><p>10: 0.0336737</p><p>11: 0.0446837</p><p>12: 0.0525628</p><p>13: 0.0569206</p><p>14: 0.0592542</p><p>15: 0.0601603</p><p>16: 0.059987</p><p>17: 0.0588354</p><p>18: 0.0567932</p><p>19: 0.054046</p><p>20: 0.0507378</p><p>21: 0.0470183</p><p>22: 0.0430364</p><p>23: 0.0389261</p><p>24: 0.0348185</p><p>25: 0.0308071</p><p>26: 0.0269881</p><p>27: 0.0234046</p><p>28: 0.0201138</p><p>29: 0.0171233</p><p>30: 0.0144512</p><p>31: 0.0120907</p><p>32: 0.0100289</p><p>33: 0.00825213</p><p>34: 0.00673317</p><p>35: 0.00545235</p><p>36: 0.00437959</p><p>37: 0.0034935</p><p>38: 0.00276412</p><p>39: 0.00217368</p><p>40: 0.00169563</p><p>41: 0.00131462</p><p>42: 0.00101221</p><p>43: 0.000773452</p><p>44: 0.000588017</p><p>45: 0.000443256</p><p>46: 0.000332359</p><p>47: 0.000247479</p><p>48: 0.000183015</p><p>49: 0.000134513</p><p>50: 9.83441e-05</p><p>51: 7.12156e-05</p><p>52: 5.14845e-05</p><p>53: 3.68648e-05</p><p>54: 2.62035e-05</p><p>55: 1.86368e-05</p><p>56: 1.30262e-05</p><p>57: 9.12685e-06</p><p>58: 6.36979e-06</p><p>59: 4.32557e-06</p><p>60: 3.02632e-06</p><p>61: 2.02803e-06</p><p>62: 1.36952e-06</p><p>63: 9.44206e-07</p><p>64: 6.02093e-07</p><p>65: 4.16902e-07</p><p>66: 2.72124e-07</p><p>67: 1.6934e-07</p><p>68: 1.21087e-07</p><p>69: 7.04421e-08</p><p>70: 4.7082e-08</p><p>71: 3.19317e-08</p><p>72: 1.66132e-08</p><p>73: 1.29659e-08</p><p>74: 7.27427e-09</p><p>75: 3.82696e-09</p><p>76: 3.35341e-09</p><p>77: 1.35102e-09</p><p>78: 9.70338e-10</p><p>79: 7.31524e-10</p><p>80: 1.96023e-10</p><p>81: 2.64663e-10</p><p>82: 1.22079e-10</p><p>83: 1.99506e-11</p><p>84: 6.78876e-11</p><p>85: 1.35379e-11</p><p>86: 1.18754e-12</p><p>87: 1.42505e-11</p><p>88: 7.91692e-13</p><p>90: 2.25632e-12</p><p>93: 2.37508e-13</p><p>96: 1.31949e-14</p><p></p><p>*************superheroes**********</p><p>Probability of getting a superhero: 0.136984</p><p>Probability of a hero being a superhero: 0.183568</p><p>*********Highest Stat Probabilities **********</p><p>15: 0.225784</p><p>16: 0.334358</p><p>17: 0.301997</p><p>18: 0.137861</p><p>*********Point Buy Probabilities **********</p><p>25: 0.14258</p><p>26: 0.130526</p><p>27: 0.117279</p><p>28: 0.103604</p><p>29: 0.0900222</p><p>30: 0.0770776</p><p>31: 0.065106</p><p>32: 0.054321</p><p>33: 0.0448431</p><p>34: 0.0366472</p><p>35: 0.0296952</p><p>36: 0.0238574</p><p>37: 0.0190311</p><p>38: 0.0150578</p><p>39: 0.0118413</p><p>40: 0.0092371</p><p>41: 0.00716149</p><p>42: 0.00551411</p><p>43: 0.00421344</p><p>44: 0.00320327</p><p>45: 0.00241467</p><p>46: 0.00181055</p><p>47: 0.00134816</p><p>48: 0.000996988</p><p>49: 0.000732768</p><p>50: 0.000535738</p><p>51: 0.000387953</p><p>52: 0.000280466</p><p>53: 0.000200824</p><p>54: 0.000142746</p><p>55: 0.000101526</p><p>56: 7.09611e-05</p><p>57: 4.97193e-05</p><p>58: 3.47e-05</p><p>59: 2.35639e-05</p><p>60: 1.64861e-05</p><p>61: 1.10479e-05</p><p>62: 7.46059e-06</p><p>63: 5.14364e-06</p><p>64: 3.27995e-06</p><p>65: 2.27111e-06</p><p>66: 1.48242e-06</p><p>67: 9.22493e-07</p><p>68: 6.59631e-07</p><p>69: 3.83739e-07</p><p>70: 2.56483e-07</p><p>71: 1.73951e-07</p><p>72: 9.05017e-08</p><p>73: 7.0633e-08</p><p>74: 3.96272e-08</p><p>75: 2.08477e-08</p><p>76: 1.8268e-08</p><p>77: 7.35981e-09</p><p>78: 5.286e-09</p><p>79: 3.98504e-09</p><p>80: 1.06785e-09</p><p>81: 1.44177e-09</p><p>82: 6.65035e-10</p><p>83: 1.08683e-10</p><p>84: 3.69823e-10</p><p>85: 7.3749e-11</p><p>86: 6.46921e-12</p><p>87: 7.76306e-11</p><p>88: 4.31281e-12</p><p>90: 1.22915e-11</p><p>93: 1.29384e-12</p><p>96: 7.18802e-14[/code]</p></blockquote><p></p>
[QUOTE="babomb, post: 4649419, member: 1316"] Well, I went ahead and crunched the numbers for all possible combinations. I'm reporting these as probabilities, rather than # of people in a population. [code]*********Full population ********** *********Highest Stat Probabilities ********** 3: 9.8464e-15 4: 4.0321e-11 5: 9.80607e-09 6: 6.20323e-07 7: 1.74701e-05 8: 0.000285572 9: 0.00247724 10: 0.0128441 11: 0.0439796 12: 0.105591 13: 0.181022 14: 0.212014 15: 0.194225 16: 0.141452 17: 0.0786341 18: 0.0274583 *********Point Buy Probabilities ********** -66: 9.8464e-15 -63: 1.77235e-13 -60: 1.68373e-12 -58: 5.90784e-13 -57: 1.06341e-11 -56: 8.86176e-13 -55: 1.01024e-11 -54: 5.06597e-11 -53: 1.48878e-11 -52: 9.10989e-11 -51: 1.97499e-10 -50: 1.46278e-10 -49: 5.45884e-10 -48: 7.24094e-10 -47: 1.00817e-09 -46: 2.50241e-09 -45: 2.85579e-09 -44: 5.42827e-09 -43: 9.67557e-09 -42: 1.23972e-08 -41: 2.38284e-08 -40: 3.5134e-08 -39: 5.2566e-08 -38: 9.03586e-08 -37: 1.26366e-07 -36: 2.03067e-07 -35: 3.11105e-07 -34: 4.493e-07 -33: 7.04594e-07 -32: 1.02198e-06 -31: 1.51338e-06 -30: 2.25833e-06 -29: 3.22787e-06 -28: 4.75332e-06 -27: 6.81073e-06 -26: 9.7205e-06 -25: 1.39073e-05 -24: 1.95538e-05 -23: 2.75096e-05 -22: 3.84192e-05 -21: 5.31432e-05 -20: 7.33872e-05 -19: 0.000100377 -18: 0.000136571 -17: 0.000184676 -16: 0.000248016 -15: 0.000330771 -14: 0.000438796 -13: 0.000577172 -12: 0.000755343 -11: 0.000981007 -10: 0.00126533 -9: 0.00162207 -8: 0.00206266 -7: 0.00260695 -6: 0.00326818 -5: 0.0040687 -4: 0.00502449 -3: 0.00615798 -2: 0.00748389 -1: 0.00902245 0: 0.0107839 1: 0.0127779 2: 0.0150095 3: 0.0174652 4: 0.0201393 5: 0.0229892 6: 0.0259826 7: 0.0290478 8: 0.032115 9: 0.0350865 10: 0.0378621 11: 0.0403307 12: 0.0423847 13: 0.0439331 14: 0.0448897 15: 0.0452203 16: 0.0448897 17: 0.0439331 18: 0.0423847 19: 0.0403307 20: 0.0378621 21: 0.0350865 22: 0.032115 23: 0.0290478 24: 0.0259826 25: 0.0229892 26: 0.0201393 27: 0.0174652 28: 0.0150095 29: 0.0127779 30: 0.0107839 31: 0.00902245 32: 0.00748389 33: 0.00615798 34: 0.00502449 35: 0.0040687 36: 0.00326818 37: 0.00260695 38: 0.00206266 39: 0.00162207 40: 0.00126533 41: 0.000981007 42: 0.000755343 43: 0.000577172 44: 0.000438796 45: 0.000330771 46: 0.000248016 47: 0.000184676 48: 0.000136571 49: 0.000100377 50: 7.33872e-05 51: 5.31432e-05 52: 3.84192e-05 53: 2.75096e-05 54: 1.95538e-05 55: 1.39073e-05 56: 9.7205e-06 57: 6.81073e-06 58: 4.75332e-06 59: 3.22787e-06 60: 2.25833e-06 61: 1.51338e-06 62: 1.02198e-06 63: 7.04594e-07 64: 4.493e-07 65: 3.11105e-07 66: 2.03067e-07 67: 1.26366e-07 68: 9.03586e-08 69: 5.2566e-08 70: 3.5134e-08 71: 2.38284e-08 72: 1.23972e-08 73: 9.67557e-09 74: 5.42827e-09 75: 2.85579e-09 76: 2.50241e-09 77: 1.00817e-09 78: 7.24094e-10 79: 5.45884e-10 80: 1.46278e-10 81: 1.97499e-10 82: 9.10989e-11 83: 1.48878e-11 84: 5.06597e-11 85: 1.01024e-11 86: 8.86176e-13 87: 1.06341e-11 88: 5.90784e-13 90: 1.68373e-12 93: 1.77235e-13 96: 9.8464e-15 ***************heroes************* Probability of getting a hero: 0.746229 *********Highest Stat Probabilities ********** 12: 0.0654969 13: 0.154835 14: 0.237749 15: 0.227849 16: 0.178433 17: 0.0997931 18: 0.0358443 *********Point Buy Probabilities ********** -2: 2.67998e-07 -1: 4.21899e-06 0: 1.88056e-05 1: 4.27796e-05 2: 9.86008e-05 3: 0.000372585 4: 0.00115789 5: 0.00264444 6: 0.00484085 7: 0.00785077 8: 0.0134853 9: 0.0227038 10: 0.0336737 11: 0.0446837 12: 0.0525628 13: 0.0569206 14: 0.0592542 15: 0.0601603 16: 0.059987 17: 0.0588354 18: 0.0567932 19: 0.054046 20: 0.0507378 21: 0.0470183 22: 0.0430364 23: 0.0389261 24: 0.0348185 25: 0.0308071 26: 0.0269881 27: 0.0234046 28: 0.0201138 29: 0.0171233 30: 0.0144512 31: 0.0120907 32: 0.0100289 33: 0.00825213 34: 0.00673317 35: 0.00545235 36: 0.00437959 37: 0.0034935 38: 0.00276412 39: 0.00217368 40: 0.00169563 41: 0.00131462 42: 0.00101221 43: 0.000773452 44: 0.000588017 45: 0.000443256 46: 0.000332359 47: 0.000247479 48: 0.000183015 49: 0.000134513 50: 9.83441e-05 51: 7.12156e-05 52: 5.14845e-05 53: 3.68648e-05 54: 2.62035e-05 55: 1.86368e-05 56: 1.30262e-05 57: 9.12685e-06 58: 6.36979e-06 59: 4.32557e-06 60: 3.02632e-06 61: 2.02803e-06 62: 1.36952e-06 63: 9.44206e-07 64: 6.02093e-07 65: 4.16902e-07 66: 2.72124e-07 67: 1.6934e-07 68: 1.21087e-07 69: 7.04421e-08 70: 4.7082e-08 71: 3.19317e-08 72: 1.66132e-08 73: 1.29659e-08 74: 7.27427e-09 75: 3.82696e-09 76: 3.35341e-09 77: 1.35102e-09 78: 9.70338e-10 79: 7.31524e-10 80: 1.96023e-10 81: 2.64663e-10 82: 1.22079e-10 83: 1.99506e-11 84: 6.78876e-11 85: 1.35379e-11 86: 1.18754e-12 87: 1.42505e-11 88: 7.91692e-13 90: 2.25632e-12 93: 2.37508e-13 96: 1.31949e-14 *************superheroes********** Probability of getting a superhero: 0.136984 Probability of a hero being a superhero: 0.183568 *********Highest Stat Probabilities ********** 15: 0.225784 16: 0.334358 17: 0.301997 18: 0.137861 *********Point Buy Probabilities ********** 25: 0.14258 26: 0.130526 27: 0.117279 28: 0.103604 29: 0.0900222 30: 0.0770776 31: 0.065106 32: 0.054321 33: 0.0448431 34: 0.0366472 35: 0.0296952 36: 0.0238574 37: 0.0190311 38: 0.0150578 39: 0.0118413 40: 0.0092371 41: 0.00716149 42: 0.00551411 43: 0.00421344 44: 0.00320327 45: 0.00241467 46: 0.00181055 47: 0.00134816 48: 0.000996988 49: 0.000732768 50: 0.000535738 51: 0.000387953 52: 0.000280466 53: 0.000200824 54: 0.000142746 55: 0.000101526 56: 7.09611e-05 57: 4.97193e-05 58: 3.47e-05 59: 2.35639e-05 60: 1.64861e-05 61: 1.10479e-05 62: 7.46059e-06 63: 5.14364e-06 64: 3.27995e-06 65: 2.27111e-06 66: 1.48242e-06 67: 9.22493e-07 68: 6.59631e-07 69: 3.83739e-07 70: 2.56483e-07 71: 1.73951e-07 72: 9.05017e-08 73: 7.0633e-08 74: 3.96272e-08 75: 2.08477e-08 76: 1.8268e-08 77: 7.35981e-09 78: 5.286e-09 79: 3.98504e-09 80: 1.06785e-09 81: 1.44177e-09 82: 6.65035e-10 83: 1.08683e-10 84: 3.69823e-10 85: 7.3749e-11 86: 6.46921e-12 87: 7.76306e-11 88: 4.31281e-12 90: 1.22915e-11 93: 1.29384e-12 96: 7.18802e-14[/code] [/QUOTE]
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