3-reel slot machines

1. Case A – the same number of stops and symbol distribution on the reels

1.6.  Event  – Any combination of two specific symbols

The probability of  is given in the following tables, where t is the number of stops of a reel and  and  are the distributions of the two symbols on a reel. We present seven tables of values, each one for one fixed value of  from 1 to 7 and the values of t ranging each time from 20 to 200 in increments of 2.

Tables of values for the probability of any combination of two specific symbols occurring on a payline

Table 1:

 1 2 3 4 5 6 7 t 20 0.00025 0.00075 0.0015 0.0025 0.00375 0.00525 0.007 22 0.00018783 0.00056349 0.00112697 0.00187829 0.00281743 0.0039444 0.0052592 24 0.00014468 0.00043403 0.00086806 0.00144676 0.00217014 0.00303819 0.00405093 26 0.00011379 0.00034137 0.00068275 0.00113792 0.00170687 0.00238962 0.00318616 28 9.1108E-05 0.00027332 0.00054665 0.00091108 0.00136662 0.00191327 0.00255102 30 7.4074E-05 0.00022222 0.00044444 0.00074074 0.00111111 0.00155556 0.00207407 32 6.1035E-05 0.00018311 0.00036621 0.00061035 0.00091553 0.00128174 0.00170898 34 5.0885E-05 0.00015266 0.00030531 0.00050885 0.00076328 0.00106859 0.00142479 36 4.2867E-05 0.0001286 0.0002572 0.00042867 0.000643 0.00090021 0.00120027 38 3.6448E-05 0.00010935 0.00021869 0.00036448 0.00054673 0.00076542 0.00102056 40 0.00003125 0.00009375 0.0001875 0.0003125 0.00046875 0.00065625 0.000875 42 2.6995E-05 8.0985E-05 0.00016197 0.00026995 0.00040492 0.00056689 0.00075586 44 2.3479E-05 7.0436E-05 0.00014087 0.00023479 0.00035218 0.00049305 0.0006574 46 2.0547E-05 6.1642E-05 0.00012328 0.00020547 0.00030821 0.0004315 0.00057533 48 1.8084E-05 5.4253E-05 0.00010851 0.00018084 0.00027127 0.00037977 0.00050637 50 0.000016 0.000048 0.000096 0.00016 0.00024 0.000336 0.000448 52 1.4224E-05 4.2672E-05 8.5344E-05 0.00014224 0.00021336 0.0002987 0.00039827 54 1.2701E-05 3.8104E-05 7.6208E-05 0.00012701 0.00019052 0.00026673 0.00035564 56 1.1388E-05 3.4165E-05 6.8331E-05 0.00011388 0.00017083 0.00023916 0.00031888 58 1.0251E-05 3.0752E-05 6.1503E-05 0.00010251 0.00015376 0.00021526 0.00028701 60 9.2593E-06 2.7778E-05 5.5556E-05 9.2593E-05 0.00013889 0.00019444 0.00025926 62 8.3918E-06 2.5175E-05 5.0351E-05 8.3918E-05 0.00012588 0.00017623 0.00023497 64 7.6294E-06 2.2888E-05 4.5776E-05 7.6294E-05 0.00011444 0.00016022 0.00021362 66 6.9566E-06 2.087E-05 4.174E-05 6.9566E-05 0.00010435 0.00014609 0.00019479 68 6.3607E-06 1.9082E-05 3.8164E-05 6.3607E-05 9.541E-05 0.00013357 0.0001781 70 5.8309E-06 1.7493E-05 3.4985E-05 5.8309E-05 8.7464E-05 0.00012245 0.00016327 72 5.3584E-06 1.6075E-05 3.215E-05 5.3584E-05 8.0376E-05 0.00011253 0.00015003 74 4.9355E-06 1.4807E-05 2.9613E-05 4.9355E-05 7.4033E-05 0.00010365 0.0001382 76 4.5561E-06 1.3668E-05 2.7336E-05 4.5561E-05 6.8341E-05 9.5677E-05 0.00012757 78 4.2145E-06 1.2644E-05 2.5287E-05 4.2145E-05 6.3218E-05 8.8505E-05 0.00011801 80 3.9063E-06 1.1719E-05 2.3438E-05 3.9063E-05 5.8594E-05 8.2031E-05 0.00010938 82 3.6273E-06 1.0882E-05 2.1764E-05 3.6273E-05 5.441E-05 7.6174E-05 0.00010157 84 3.3744E-06 1.0123E-05 2.0246E-05 3.3744E-05 5.0615E-05 7.0862E-05 9.4482E-05 86 3.1444E-06 9.4331E-06 1.8866E-05 3.1444E-05 4.7166E-05 6.6032E-05 8.8043E-05 88 2.9348E-06 8.8045E-06 1.7609E-05 2.9348E-05 4.4022E-05 6.1631E-05 8.2175E-05 90 2.7435E-06 8.2305E-06 1.6461E-05 2.7435E-05 4.1152E-05 5.7613E-05 7.6818E-05 92 2.5684E-06 7.7053E-06 1.5411E-05 2.5684E-05 3.8526E-05 5.3937E-05 7.1916E-05 94 2.4079E-06 7.2238E-06 1.4448E-05 2.4079E-05 3.6119E-05 5.0567E-05 6.7422E-05 96 2.2606E-06 6.7817E-06 1.3563E-05 2.2606E-05 3.3908E-05 4.7472E-05 6.3296E-05 98 2.125E-06 6.3749E-06 1.275E-05 2.125E-05 3.1874E-05 4.4624E-05 5.9499E-05 100 0.000002 0.000006 0.000012 0.00002 0.00003 0.000042 0.000056 102 1.8846E-06 5.6539E-06 1.1308E-05 1.8846E-05 2.827E-05 3.9578E-05 5.277E-05 104 1.778E-06 5.334E-06 1.0668E-05 1.778E-05 2.667E-05 3.7338E-05 4.9784E-05 106 1.6792E-06 5.0377E-06 1.0075E-05 1.6792E-05 2.5189E-05 3.5264E-05 4.7019E-05 108 1.5877E-06 4.763E-06 9.526E-06 1.5877E-05 2.3815E-05 3.3341E-05 4.4455E-05 110 1.5026E-06 4.5079E-06 9.0158E-06 1.5026E-05 2.2539E-05 3.1555E-05 4.2074E-05 112 1.4236E-06 4.2707E-06 8.5414E-06 1.4236E-05 2.1353E-05 2.9895E-05 3.986E-05 114 1.3499E-06 4.0498E-06 8.0997E-06 1.3499E-05 2.0249E-05 2.8349E-05 3.7798E-05 116 1.2813E-06 3.8439E-06 7.6879E-06 1.2813E-05 1.922E-05 2.6908E-05 3.5877E-05 118 1.2173E-06 3.6518E-06 7.3036E-06 1.2173E-05 1.8259E-05 2.5562E-05 3.4083E-05 120 1.1574E-06 3.4722E-06 6.9444E-06 1.1574E-05 1.7361E-05 2.4306E-05 3.2407E-05 122 1.1014E-06 3.3042E-06 6.6085E-06 1.1014E-05 1.6521E-05 2.313E-05 3.084E-05 124 1.049E-06 3.1469E-06 6.2938E-06 1.049E-05 1.5735E-05 2.2028E-05 2.9371E-05 126 9.9981E-07 2.9994E-06 5.9989E-06 9.9981E-06 1.4997E-05 2.0996E-05 2.7995E-05 128 9.5367E-07 2.861E-06 5.722E-06 9.5367E-06 1.4305E-05 2.0027E-05 2.6703E-05 130 9.1033E-07 2.731E-06 5.462E-06 9.1033E-06 1.3655E-05 1.9117E-05 2.5489E-05 132 8.6958E-07 2.6087E-06 5.2175E-06 8.6958E-06 1.3044E-05 1.8261E-05 2.4348E-05 134 8.3122E-07 2.4937E-06 4.9873E-06 8.3122E-06 1.2468E-05 1.7456E-05 2.3274E-05 136 7.9508E-07 2.3853E-06 4.7705E-06 7.9508E-06 1.1926E-05 1.6697E-05 2.2262E-05 138 7.6101E-07 2.283E-06 4.5661E-06 7.6101E-06 1.1415E-05 1.5981E-05 2.1308E-05 140 7.2886E-07 2.1866E-06 4.3732E-06 7.2886E-06 1.0933E-05 1.5306E-05 2.0408E-05 142 6.985E-07 2.0955E-06 4.191E-06 6.985E-06 1.0477E-05 1.4668E-05 1.9558E-05 144 6.698E-07 2.0094E-06 4.0188E-06 6.698E-06 1.0047E-05 1.4066E-05 1.8754E-05 148 6.1694E-07 1.8508E-06 3.7017E-06 6.1694E-06 9.2541E-06 1.2956E-05 1.7274E-05 150 5.9259E-07 1.7778E-06 3.5556E-06 5.9259E-06 8.8889E-06 1.2444E-05 1.6593E-05 152 5.6951E-07 1.7085E-06 3.417E-06 5.6951E-06 8.5426E-06 1.196E-05 1.5946E-05 154 5.4761E-07 1.6428E-06 3.2856E-06 5.4761E-06 8.2141E-06 1.15E-05 1.5333E-05 156 5.2681E-07 1.5804E-06 3.1609E-06 5.2681E-06 7.9022E-06 1.1063E-05 1.4751E-05 158 5.0706E-07 1.5212E-06 3.0424E-06 5.0706E-06 7.6059E-06 1.0648E-05 1.4198E-05 160 4.8828E-07 1.4648E-06 2.9297E-06 4.8828E-06 7.3242E-06 1.0254E-05 1.3672E-05 162 4.7042E-07 1.4113E-06 2.8225E-06 4.7042E-06 7.0563E-06 9.8788E-06 1.3172E-05 164 4.5342E-07 1.3603E-06 2.7205E-06 4.5342E-06 6.8013E-06 9.5218E-06 1.2696E-05 166 4.3723E-07 1.3117E-06 2.6234E-06 4.3723E-06 6.5584E-06 9.1817E-06 1.2242E-05 168 4.218E-07 1.2654E-06 2.5308E-06 4.218E-06 6.3269E-06 8.8577E-06 1.181E-05 170 4.0708E-07 1.2212E-06 2.4425E-06 4.0708E-06 6.1062E-06 8.5487E-06 1.1398E-05 172 3.9305E-07 1.1791E-06 2.3583E-06 3.9305E-06 5.8957E-06 8.254E-06 1.1005E-05 174 3.7965E-07 1.1389E-06 2.2779E-06 3.7965E-06 5.6947E-06 7.9726E-06 1.063E-05 176 3.6685E-07 1.1006E-06 2.2011E-06 3.6685E-06 5.5028E-06 7.7039E-06 1.0272E-05 178 3.5463E-07 1.0639E-06 2.1278E-06 3.5463E-06 5.3194E-06 7.4471E-06 9.9295E-06 180 3.4294E-07 1.0288E-06 2.0576E-06 3.4294E-06 5.144E-06 7.2016E-06 9.6022E-06 182 3.3175E-07 9.9526E-07 1.9905E-06 3.3175E-06 4.9763E-06 6.9668E-06 9.2891E-06 184 3.2105E-07 9.6316E-07 1.9263E-06 3.2105E-06 4.8158E-06 6.7421E-06 8.9895E-06 186 3.1081E-07 9.3242E-07 1.8648E-06 3.1081E-06 4.6621E-06 6.527E-06 8.7026E-06 188 3.0099E-07 9.0298E-07 1.806E-06 3.0099E-06 4.5149E-06 6.3209E-06 8.4278E-06 190 2.9159E-07 8.7476E-07 1.7495E-06 2.9159E-06 4.3738E-06 6.1233E-06 8.1645E-06 192 2.8257E-07 8.4771E-07 1.6954E-06 2.8257E-06 4.2386E-06 5.934E-06 7.912E-06 194 2.7392E-07 8.2176E-07 1.6435E-06 2.7392E-06 4.1088E-06 5.7523E-06 7.6698E-06 196 2.6562E-07 7.9686E-07 1.5937E-06 2.6562E-06 3.9843E-06 5.578E-06 7.4374E-06 198 2.5765E-07 7.7296E-07 1.5459E-06 2.5765E-06 3.8648E-06 5.4107E-06 7.2143E-06 200 0.00000025 0.00000075 0.0000015 0.0000025 0.00000375 0.00000525 0.000007

Table 2:

 1 2 3 4 5 6 7 t 20 0.00075 0.002 0.00375 0.006 0.00875 0.012 0.01575 22 0.00056349 0.00150263 0.00281743 0.00450789 0.006574 0.00901578 0.01183321 24 0.00043403 0.00115741 0.00217014 0.00347222 0.00506366 0.00694444 0.00911458 26 0.00034137 0.00091033 0.00170687 0.002731 0.0039827 0.00546199 0.00716887 28 0.00027332 0.00072886 0.00136662 0.00218659 0.00318878 0.00437318 0.0057398 30 0.00022222 0.00059259 0.00111111 0.00177778 0.00259259 0.00355556 0.00466667 32 0.00018311 0.00048828 0.00091553 0.00146484 0.00213623 0.00292969 0.00384521 34 0.00015266 0.00040708 0.00076328 0.00122125 0.00178099 0.0024425 0.00320578 36 0.0001286 0.00034294 0.000643 0.00102881 0.00150034 0.00205761 0.00270062 38 0.00010935 0.00029159 0.00054673 0.00087476 0.0012757 0.00174953 0.00229625 40 0.00009375 0.00025 0.00046875 0.00075 0.00109375 0.0015 0.00196875 42 8.0985E-05 0.00021596 0.00040492 0.00064788 0.00094482 0.00129576 0.00170068 44 7.0436E-05 0.00018783 0.00035218 0.00056349 0.00082175 0.00112697 0.00147915 46 6.1642E-05 0.00016438 0.00030821 0.00049314 0.00071916 0.00098627 0.00129449 48 5.4253E-05 0.00014468 0.00027127 0.00043403 0.00063296 0.00086806 0.00113932 50 0.000048 0.000128 0.00024 0.000384 0.00056 0.000768 0.001008 52 4.2672E-05 0.00011379 0.00021336 0.00034137 0.00049784 0.00068275 0.00089611 54 3.8104E-05 0.00010161 0.00019052 0.00030483 0.00044455 0.00060966 0.00080018 56 3.4165E-05 9.1108E-05 0.00017083 0.00027332 0.0003986 0.00054665 0.00071747 58 3.0752E-05 8.2004E-05 0.00015376 0.00024601 0.00035877 0.00049203 0.00064578 60 2.7778E-05 7.4074E-05 0.00013889 0.00022222 0.00032407 0.00044444 0.00058333 62 2.5175E-05 6.7134E-05 0.00012588 0.0002014 0.00029371 0.00040281 0.00052868 64 2.2888E-05 6.1035E-05 0.00011444 0.00018311 0.00026703 0.00036621 0.00048065 66 2.087E-05 5.5653E-05 0.00010435 0.00016696 0.00024348 0.00033392 0.00043827 68 1.9082E-05 5.0885E-05 9.541E-05 0.00015266 0.00022262 0.00030531 0.00040072 70 1.7493E-05 4.6647E-05 8.7464E-05 0.00013994 0.00020408 0.00027988 0.00036735 72 1.6075E-05 4.2867E-05 8.0376E-05 0.0001286 0.00018754 0.0002572 0.00033758 74 1.4807E-05 3.9484E-05 7.4033E-05 0.00011845 0.00017274 0.00023691 0.00031094 76 1.3668E-05 3.6448E-05 6.8341E-05 0.00010935 0.00015946 0.00021869 0.00028703 78 1.2644E-05 3.3716E-05 6.3218E-05 0.00010115 0.00014751 0.0002023 0.00026551 80 1.1719E-05 0.00003125 5.8594E-05 0.00009375 0.00013672 0.0001875 0.00024609 82 1.0882E-05 2.9019E-05 5.441E-05 8.7056E-05 0.00012696 0.00017411 0.00022852 84 1.0123E-05 2.6995E-05 5.0615E-05 8.0985E-05 0.0001181 0.00016197 0.00021259 86 9.4331E-06 2.5155E-05 4.7166E-05 7.5465E-05 0.00011005 0.00015093 0.0001981 88 8.8045E-06 2.3479E-05 4.4022E-05 7.0436E-05 0.00010272 0.00014087 0.00018489 90 8.2305E-06 2.1948E-05 4.1152E-05 6.5844E-05 9.6022E-05 0.00013169 0.00017284 92 7.7053E-06 2.0547E-05 3.8526E-05 6.1642E-05 8.9895E-05 0.00012328 0.00016181 94 7.2238E-06 1.9264E-05 3.6119E-05 5.7791E-05 8.4278E-05 0.00011558 0.0001517 96 6.7817E-06 1.8084E-05 3.3908E-05 5.4253E-05 7.912E-05 0.00010851 0.00014242 98 6.3749E-06 1.7E-05 3.1874E-05 5.0999E-05 7.4374E-05 0.000102 0.00013387 100 0.000006 0.000016 0.00003 0.000048 0.00007 0.000096 0.000126 102 5.6539E-06 1.5077E-05 2.827E-05 4.5231E-05 6.5963E-05 9.0463E-05 0.00011873 104 5.334E-06 1.4224E-05 2.667E-05 4.2672E-05 6.223E-05 8.5344E-05 0.00011201 106 5.0377E-06 1.3434E-05 2.5189E-05 4.0302E-05 5.8773E-05 8.0603E-05 0.00010579 108 4.763E-06 1.2701E-05 2.3815E-05 3.8104E-05 5.5568E-05 7.6208E-05 0.00010002 110 4.5079E-06 1.2021E-05 2.2539E-05 3.6063E-05 5.2592E-05 7.2126E-05 9.4666E-05 112 4.2707E-06 1.1388E-05 2.1353E-05 3.4165E-05 4.9825E-05 6.8331E-05 8.9684E-05 114 4.0498E-06 1.08E-05 2.0249E-05 3.2399E-05 4.7248E-05 6.4797E-05 8.5046E-05 116 3.8439E-06 1.0251E-05 1.922E-05 3.0752E-05 4.4846E-05 6.1503E-05 8.0723E-05 118 3.6518E-06 9.7381E-06 1.8259E-05 2.9214E-05 4.2604E-05 5.8429E-05 7.6687E-05 120 3.4722E-06 9.2593E-06 1.7361E-05 2.7778E-05 4.0509E-05 5.5556E-05 7.2917E-05 122 3.3042E-06 8.8113E-06 1.6521E-05 2.6434E-05 3.8549E-05 5.2868E-05 6.9389E-05 124 3.1469E-06 8.3918E-06 1.5735E-05 2.5175E-05 3.6714E-05 5.0351E-05 6.6085E-05 126 2.9994E-06 7.9985E-06 1.4997E-05 2.3995E-05 3.4993E-05 4.7991E-05 6.2988E-05 128 2.861E-06 7.6294E-06 1.4305E-05 2.2888E-05 3.3379E-05 4.5776E-05 6.0081E-05 130 2.731E-06 7.2827E-06 1.3655E-05 2.1848E-05 3.1862E-05 4.3696E-05 5.7351E-05 132 2.6087E-06 6.9566E-06 1.3044E-05 2.087E-05 3.0435E-05 4.174E-05 5.4783E-05 134 2.4937E-06 6.6498E-06 1.2468E-05 1.9949E-05 2.9093E-05 3.9899E-05 5.2367E-05 136 2.3853E-06 6.3607E-06 1.1926E-05 1.9082E-05 2.7828E-05 3.8164E-05 5.009E-05 138 2.283E-06 6.0881E-06 1.1415E-05 1.8264E-05 2.6635E-05 3.6529E-05 4.7944E-05 140 2.1866E-06 5.8309E-06 1.0933E-05 1.7493E-05 2.551E-05 3.4985E-05 4.5918E-05 142 2.0955E-06 5.588E-06 1.0477E-05 1.6764E-05 2.4447E-05 3.3528E-05 4.4005E-05 144 2.0094E-06 5.3584E-06 1.0047E-05 1.6075E-05 2.3443E-05 3.215E-05 4.2197E-05 148 1.8508E-06 4.9355E-06 9.2541E-06 1.4807E-05 2.1593E-05 2.9613E-05 3.8867E-05 150 1.7778E-06 4.7407E-06 8.8889E-06 1.4222E-05 2.0741E-05 2.8444E-05 3.7333E-05 152 1.7085E-06 4.5561E-06 8.5426E-06 1.3668E-05 1.9933E-05 2.7336E-05 3.5879E-05 154 1.6428E-06 4.3808E-06 8.2141E-06 1.3143E-05 1.9166E-05 2.6285E-05 3.4499E-05 156 1.5804E-06 4.2145E-06 7.9022E-06 1.2644E-05 1.8438E-05 2.5287E-05 3.3189E-05 158 1.5212E-06 4.0565E-06 7.6059E-06 1.2169E-05 1.7747E-05 2.4339E-05 3.1945E-05 160 1.4648E-06 3.9063E-06 7.3242E-06 1.1719E-05 1.709E-05 2.3438E-05 3.0762E-05 162 1.4113E-06 3.7634E-06 7.0563E-06 1.129E-05 1.6465E-05 2.258E-05 2.9636E-05 164 1.3603E-06 3.6273E-06 6.8013E-06 1.0882E-05 1.587E-05 2.1764E-05 2.8565E-05 166 1.3117E-06 3.4978E-06 6.5584E-06 1.0493E-05 1.5303E-05 2.0987E-05 2.7545E-05 168 1.2654E-06 3.3744E-06 6.3269E-06 1.0123E-05 1.4763E-05 2.0246E-05 2.6573E-05 170 1.2212E-06 3.2567E-06 6.1062E-06 9.77E-06 1.4248E-05 1.954E-05 2.5646E-05 172 1.1791E-06 3.1444E-06 5.8957E-06 9.4331E-06 1.3757E-05 1.8866E-05 2.4762E-05 174 1.1389E-06 3.0372E-06 5.6947E-06 9.1116E-06 1.3288E-05 1.8223E-05 2.3918E-05 176 1.1006E-06 2.9348E-06 5.5028E-06 8.8045E-06 1.284E-05 1.7609E-05 2.3112E-05 178 1.0639E-06 2.837E-06 5.3194E-06 8.511E-06 1.2412E-05 1.7022E-05 2.2341E-05 180 1.0288E-06 2.7435E-06 5.144E-06 8.2305E-06 1.2003E-05 1.6461E-05 2.1605E-05 182 9.9526E-07 2.654E-06 4.9763E-06 7.9621E-06 1.1611E-05 1.5924E-05 2.09E-05 184 9.6316E-07 2.5684E-06 4.8158E-06 7.7053E-06 1.1237E-05 1.5411E-05 2.0226E-05 186 9.3242E-07 2.4865E-06 4.6621E-06 7.4594E-06 1.0878E-05 1.4919E-05 1.9581E-05 188 9.0298E-07 2.4079E-06 4.5149E-06 7.2238E-06 1.0535E-05 1.4448E-05 1.8963E-05 190 8.7476E-07 2.3327E-06 4.3738E-06 6.9981E-06 1.0206E-05 1.3996E-05 1.837E-05 192 8.4771E-07 2.2606E-06 4.2386E-06 6.7817E-06 9.89E-06 1.3563E-05 1.7802E-05 194 8.2176E-07 2.1914E-06 4.1088E-06 6.5741E-06 9.5872E-06 1.3148E-05 1.7257E-05 196 7.9686E-07 2.125E-06 3.9843E-06 6.3749E-06 9.2967E-06 1.275E-05 1.6734E-05 198 7.7296E-07 2.0612E-06 3.8648E-06 6.1837E-06 9.0178E-06 1.2367E-05 1.6232E-05 200 0.00000075 0.000002 0.00000375 0.000006 0.00000875 0.000012 0.00001575

Table 3:

 1 2 3 4 5 6 7 t 20 0.0015 0.00375 0.00675 0.0105 0.015 0.02025 0.02625 22 0.00112697 0.00281743 0.00507137 0.00788881 0.01126972 0.01521412 0.01972201 24 0.00086806 0.00217014 0.00390625 0.00607639 0.00868056 0.01171875 0.01519097 26 0.00068275 0.00170687 0.00307237 0.00477924 0.00682749 0.00921711 0.01194811 28 0.00054665 0.00136662 0.00245991 0.00382653 0.00546647 0.00737974 0.00956633 30 0.00044444 0.00111111 0.002 0.00311111 0.00444444 0.006 0.00777778 32 0.00036621 0.00091553 0.00164795 0.00256348 0.00366211 0.00494385 0.00640869 34 0.00030531 0.00076328 0.00137391 0.00213719 0.00305312 0.00412172 0.00534297 36 0.0002572 0.000643 0.00115741 0.00180041 0.00257202 0.00347222 0.00450103 38 0.00021869 0.00054673 0.00098411 0.00153084 0.00218691 0.00295233 0.00382709 40 0.0001875 0.00046875 0.00084375 0.0013125 0.001875 0.00253125 0.00328125 42 0.00016197 0.00040492 0.00072886 0.00113379 0.0016197 0.00218659 0.00283447 44 0.00014087 0.00035218 0.00063392 0.0009861 0.00140872 0.00190177 0.00246525 46 0.00012328 0.00030821 0.00055478 0.00086299 0.00123284 0.00166434 0.00215748 48 0.00010851 0.00027127 0.00048828 0.00075955 0.00108507 0.00146484 0.00189887 50 0.000096 0.00024 0.000432 0.000672 0.00096 0.001296 0.00168 52 8.5344E-05 0.00021336 0.00038405 0.00059741 0.00085344 0.00115214 0.00149351 54 7.6208E-05 0.00019052 0.00034294 0.00053346 0.00076208 0.00102881 0.00133364 56 6.8331E-05 0.00017083 0.00030749 0.00047832 0.00068331 0.00092247 0.00119579 58 6.1503E-05 0.00015376 0.00027676 0.00043052 0.00061503 0.00083029 0.0010763 60 5.5556E-05 0.00013889 0.00025 0.00038889 0.00055556 0.00075 0.00097222 62 5.0351E-05 0.00012588 0.00022658 0.00035246 0.00050351 0.00067974 0.00088114 64 4.5776E-05 0.00011444 0.00020599 0.00032043 0.00045776 0.00061798 0.00080109 66 4.174E-05 0.00010435 0.00018783 0.00029218 0.0004174 0.00056349 0.00073044 68 3.8164E-05 9.541E-05 0.00017174 0.00026715 0.00038164 0.00051521 0.00066787 70 3.4985E-05 8.7464E-05 0.00015743 0.0002449 0.00034985 0.0004723 0.00061224 72 3.215E-05 8.0376E-05 0.00014468 0.00022505 0.0003215 0.00043403 0.00056263 74 2.9613E-05 7.4033E-05 0.00013326 0.00020729 0.00029613 0.00039978 0.00051823 76 2.7336E-05 6.8341E-05 0.00012301 0.00019135 0.00027336 0.00036904 0.00047839 78 2.5287E-05 6.3218E-05 0.00011379 0.00017701 0.00025287 0.00034137 0.00044252 80 2.3438E-05 5.8594E-05 0.00010547 0.00016406 0.00023438 0.00031641 0.00041016 82 2.1764E-05 5.441E-05 9.7938E-05 0.00015235 0.00021764 0.00029381 0.00038087 84 2.0246E-05 5.0615E-05 9.1108E-05 0.00014172 0.00020246 0.00027332 0.00035431 86 1.8866E-05 4.7166E-05 8.4898E-05 0.00013206 0.00018866 0.00025469 0.00033016 88 1.7609E-05 4.4022E-05 7.924E-05 0.00012326 0.00017609 0.00023772 0.00030816 90 1.6461E-05 4.1152E-05 7.4074E-05 0.00011523 0.00016461 0.00022222 0.00028807 92 1.5411E-05 3.8526E-05 6.9347E-05 0.00010787 0.00015411 0.00020804 0.00026968 94 1.4448E-05 3.6119E-05 6.5014E-05 0.00010113 0.00014448 0.00019504 0.00025283 96 1.3563E-05 3.3908E-05 6.1035E-05 9.4944E-05 0.00013563 0.00018311 0.00023736 98 1.275E-05 3.1874E-05 5.7374E-05 8.9249E-05 0.0001275 0.00017212 0.00022312 100 0.000012 0.00003 0.000054 0.000084 0.00012 0.000162 0.00021 102 1.1308E-05 2.827E-05 5.0885E-05 7.9155E-05 0.00011308 0.00015266 0.00019789 104 1.0668E-05 2.667E-05 4.8006E-05 7.4676E-05 0.00010668 0.00014402 0.00018669 106 1.0075E-05 2.5189E-05 4.5339E-05 7.0528E-05 0.00010075 0.00013602 0.00017632 108 9.526E-06 2.3815E-05 4.2867E-05 6.6682E-05 9.526E-05 0.0001286 0.0001667 110 9.0158E-06 2.2539E-05 4.0571E-05 6.311E-05 9.0158E-05 0.00012171 0.00015778 112 8.5414E-06 2.1353E-05 3.8436E-05 5.979E-05 8.5414E-05 0.00011531 0.00014947 114 8.0997E-06 2.0249E-05 3.6448E-05 5.6698E-05 8.0997E-05 0.00010935 0.00014174 116 7.6879E-06 1.922E-05 3.4596E-05 5.3815E-05 7.6879E-05 0.00010379 0.00013454 118 7.3036E-06 1.8259E-05 3.2866E-05 5.1125E-05 7.3036E-05 9.8598E-05 0.00012781 120 6.9444E-06 1.7361E-05 0.00003125 4.8611E-05 6.9444E-05 0.00009375 0.00012153 122 6.6085E-06 1.6521E-05 2.9738E-05 4.6259E-05 6.6085E-05 8.9215E-05 0.00011565 124 6.2938E-06 1.5735E-05 2.8322E-05 4.4057E-05 6.2938E-05 8.4967E-05 0.00011014 126 5.9989E-06 1.4997E-05 2.6995E-05 4.1992E-05 5.9989E-05 8.0985E-05 0.00010498 128 5.722E-06 1.4305E-05 2.5749E-05 4.0054E-05 5.722E-05 7.7248E-05 0.00010014 130 5.462E-06 1.3655E-05 2.4579E-05 3.8234E-05 5.462E-05 7.3737E-05 9.5585E-05 132 5.2175E-06 1.3044E-05 2.3479E-05 3.6522E-05 5.2175E-05 7.0436E-05 9.1306E-05 134 4.9873E-06 1.2468E-05 2.2443E-05 3.4911E-05 4.9873E-05 6.7329E-05 8.7278E-05 136 4.7705E-06 1.1926E-05 2.1467E-05 3.3394E-05 4.7705E-05 6.4402E-05 8.3484E-05 138 4.5661E-06 1.1415E-05 2.0547E-05 3.1963E-05 4.5661E-05 6.1642E-05 7.9906E-05 140 4.3732E-06 1.0933E-05 1.9679E-05 3.0612E-05 4.3732E-05 5.9038E-05 7.6531E-05 142 4.191E-06 1.0477E-05 1.8859E-05 2.9337E-05 4.191E-05 5.6578E-05 7.3342E-05 144 4.0188E-06 1.0047E-05 1.8084E-05 2.8131E-05 4.0188E-05 5.4253E-05 7.0329E-05 148 3.7017E-06 9.2541E-06 1.6657E-05 2.5912E-05 3.7017E-05 4.9972E-05 6.4779E-05 150 3.5556E-06 8.8889E-06 0.000016 2.4889E-05 3.5556E-05 0.000048 6.2222E-05 152 3.417E-06 8.5426E-06 1.5377E-05 2.3919E-05 3.417E-05 4.613E-05 5.9798E-05 154 3.2856E-06 8.2141E-06 1.4785E-05 2.2999E-05 3.2856E-05 4.4356E-05 5.7499E-05 156 3.1609E-06 7.9022E-06 1.4224E-05 2.2126E-05 3.1609E-05 4.2672E-05 5.5315E-05 158 3.0424E-06 7.6059E-06 1.3691E-05 2.1296E-05 3.0424E-05 4.1072E-05 5.3241E-05 160 2.9297E-06 7.3242E-06 1.3184E-05 2.0508E-05 2.9297E-05 3.9551E-05 5.127E-05 162 2.8225E-06 7.0563E-06 1.2701E-05 1.9758E-05 2.8225E-05 3.8104E-05 4.9394E-05 164 2.7205E-06 6.8013E-06 1.2242E-05 1.9044E-05 2.7205E-05 3.6727E-05 4.7609E-05 166 2.6234E-06 6.5584E-06 1.1805E-05 1.8363E-05 2.6234E-05 3.5415E-05 4.5909E-05 168 2.5308E-06 6.3269E-06 1.1388E-05 1.7715E-05 2.5308E-05 3.4165E-05 4.4289E-05 170 2.4425E-06 6.1062E-06 1.0991E-05 1.7097E-05 2.4425E-05 3.2974E-05 4.2744E-05 172 2.3583E-06 5.8957E-06 1.0612E-05 1.6508E-05 2.3583E-05 3.1837E-05 4.127E-05 174 2.2779E-06 5.6947E-06 1.0251E-05 1.5945E-05 2.2779E-05 3.0752E-05 3.9863E-05 176 2.2011E-06 5.5028E-06 9.905E-06 1.5408E-05 2.2011E-05 2.9715E-05 3.852E-05 178 2.1278E-06 5.3194E-06 9.5749E-06 1.4894E-05 2.1278E-05 2.8725E-05 3.7236E-05 180 2.0576E-06 5.144E-06 9.2593E-06 1.4403E-05 2.0576E-05 2.7778E-05 3.6008E-05 182 1.9905E-06 4.9763E-06 8.9574E-06 1.3934E-05 1.9905E-05 2.6872E-05 3.4834E-05 184 1.9263E-06 4.8158E-06 8.6684E-06 1.3484E-05 1.9263E-05 2.6005E-05 3.3711E-05 186 1.8648E-06 4.6621E-06 8.3918E-06 1.3054E-05 1.8648E-05 2.5175E-05 3.2635E-05 188 1.806E-06 4.5149E-06 8.1268E-06 1.2642E-05 1.806E-05 2.438E-05 3.1604E-05 190 1.7495E-06 4.3738E-06 7.8729E-06 1.2247E-05 1.7495E-05 2.3619E-05 3.0617E-05 192 1.6954E-06 4.2386E-06 7.6294E-06 1.1868E-05 1.6954E-05 2.2888E-05 2.967E-05 194 1.6435E-06 4.1088E-06 7.3959E-06 1.1505E-05 1.6435E-05 2.2188E-05 2.8762E-05 196 1.5937E-06 3.9843E-06 7.1718E-06 1.1156E-05 1.5937E-05 2.1515E-05 2.789E-05 198 1.5459E-06 3.8648E-06 6.9566E-06 1.0821E-05 1.5459E-05 2.087E-05 2.7054E-05 200 0.0000015 0.00000375 0.00000675 0.0000105 0.000015 0.00002025 0.00002625

Table 4:

 1 2 3 4 5 6 7 t 20 0.0025 0.006 0.0105 0.016 0.0225 0.03 0.0385 22 0.001878287 0.004507889 0.007888805 0.012021037 0.016904583 0.022539444 0.02892562 24 0.001446759 0.003472222 0.006076389 0.009259259 0.013020833 0.017361111 0.022280093 26 0.001137915 0.002730997 0.004779244 0.007282658 0.010241238 0.013654984 0.017523896 28 0.000911079 0.002186589 0.003826531 0.005830904 0.008199708 0.010932945 0.014030612 30 0.000740741 0.001777778 0.003111111 0.004740741 0.006666667 0.008888889 0.011407407 32 0.000610352 0.001464844 0.002563477 0.00390625 0.005493164 0.007324219 0.009399414 34 0.000508854 0.00122125 0.002137187 0.003256666 0.004579687 0.006106249 0.007836353 36 0.000428669 0.001028807 0.001800412 0.002743484 0.003858025 0.005144033 0.006601509 38 0.000364485 0.000874763 0.001530835 0.002332702 0.003280362 0.004373815 0.005613063 40 0.0003125 0.00075 0.0013125 0.002 0.0028125 0.00375 0.0048125 42 0.000269949 0.000647878 0.001133787 0.001727675 0.002429543 0.003239391 0.004157218 44 0.000234786 0.000563486 0.000986101 0.00150263 0.002113073 0.002817431 0.003615702 46 0.000205474 0.000493137 0.00086299 0.001315032 0.001849264 0.002465686 0.003164297 48 0.000180845 0.000434028 0.000759549 0.001157407 0.001627604 0.002170139 0.002785012 50 0.00016 0.000384 0.000672 0.001024 0.00144 0.00192 0.002464 52 0.000142239 0.000341375 0.000597406 0.000910332 0.001280155 0.001706873 0.002190487 54 0.000127013 0.000304832 0.000533455 0.000812884 0.001143118 0.001524158 0.001956003 56 0.000113885 0.000273324 0.000478316 0.000728863 0.001024964 0.001366618 0.001753827 58 0.000102505 0.000246013 0.000430522 0.000656033 0.000922547 0.001230063 0.001578581 60 9.25926E-05 0.000222222 0.000388889 0.000592593 0.000833333 0.001111111 0.001425926 62 8.3918E-05 0.000201403 0.000352455 0.000537075 0.000755262 0.001007016 0.001292337 64 7.62939E-05 0.000183105 0.000320435 0.000488281 0.000686646 0.000915527 0.001174927 66 6.95662E-05 0.000166959 0.000292178 0.000445224 0.000626096 0.000834794 0.001071319 68 6.36068E-05 0.000152656 0.000267148 0.000407083 0.000572461 0.000763281 0.000979544 70 5.8309E-05 0.000139942 0.000244898 0.000373178 0.000524781 0.000699708 0.000897959 72 5.35837E-05 0.000128601 0.000225051 0.000342936 0.000482253 0.000643004 0.000825189 74 4.93554E-05 0.000118453 0.000207293 0.000315875 0.000444199 0.000592265 0.000760073 76 4.55606E-05 0.000109345 0.000191354 0.000291588 0.000410045 0.000546727 0.000701633 78 4.2145E-05 0.000101148 0.000177009 0.000269728 0.000379305 0.00050574 0.000649033 80 3.90625E-05 0.00009375 0.000164063 0.00025 0.000351563 0.00046875 0.000601563 82 3.62734E-05 8.70562E-05 0.000152348 0.00023215 0.000326461 0.000435281 0.000558611 84 3.37437E-05 8.09848E-05 0.000141723 0.000215959 0.000303693 0.000404924 0.000519652 86 3.14438E-05 7.54651E-05 0.000132064 0.00020124 0.000282994 0.000377325 0.000484234 88 2.93482E-05 7.04358E-05 0.000123263 0.000187829 0.000264134 0.000352179 0.000451963 90 2.74348E-05 6.58436E-05 0.000115226 0.000175583 0.000246914 0.000329218 0.000422497 92 2.56842E-05 6.16421E-05 0.000107874 0.000164379 0.000231158 0.000308211 0.000395537 94 2.40794E-05 5.77907E-05 0.000101134 0.000154108 0.000216715 0.000288953 0.000370823 96 2.26056E-05 5.42535E-05 9.49436E-05 0.000144676 0.000203451 0.000271267 0.000348126 98 2.12496E-05 5.09992E-05 8.92485E-05 0.000135998 0.000191247 0.000254996 0.000327245 100 0.00002 0.000048 0.000084 0.000128 0.00018 0.00024 0.000308 102 1.88464E-05 4.52315E-05 7.91551E-05 0.000120617 0.000169618 0.000226157 0.000290235 104 1.77799E-05 4.26718E-05 7.46757E-05 0.000113792 0.000160019 0.000213359 0.000273811 106 1.67924E-05 4.03017E-05 7.0528E-05 0.000107471 0.000151131 0.000201509 0.000258603 108 1.58766E-05 3.81039E-05 6.66819E-05 0.000101611 0.00014289 0.00019052 0.0002445 110 1.50263E-05 3.60631E-05 6.31104E-05 9.61683E-05 0.000135237