16-reel slot machines

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

1.10  A specific symbol four times or any combination of that symbol with another specific symbol

The probability of this event 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 a specific symbol four times or any combination of that symbol with another specific symbol occurring on a payline

Table 1:

 1 2 3 4 5 6 7 t 20 0.00009375 0.00040625 0.00109375 0.00230625 0.00419375 0.00690625 0.01059375 22 6.40325E-05 0.000277474 0.000747046 0.0015752 0.002864388 0.004717062 0.007235674 24 4.52112E-05 0.000195915 0.000527464 0.001112196 0.002022449 0.00333056 0.005108869 26 3.28245E-05 0.000142239 0.000382952 0.000807482 0.001468348 0.00241807 0.003709166 28 2.44039E-05 0.00010575 0.000284712 0.000600336 0.001091668 0.001797754 0.00275764 30 1.85185E-05 8.02469E-05 0.000216049 0.000455556 0.000828395 0.001364198 0.002092593 32 1.43051E-05 6.19888E-05 0.000166893 0.000351906 0.000639915 0.00105381 0.001616478 34 1.12247E-05 4.86405E-05 0.000130955 0.000276128 0.000502119 0.000826888 0.001268394 36 8.93061E-06 3.86993E-05 0.00010419 0.000219693 0.000399496 0.000657888 0.001009159 38 7.19378E-06 3.1173E-05 8.39274E-05 0.000176967 0.000321802 0.000529941 0.000812897 40 5.85938E-06 2.53906E-05 6.83594E-05 0.000144141 0.000262109 0.000431641 0.000662109 42 4.82052E-06 2.08889E-05 5.62394E-05 0.000118585 0.000215638 0.000355112 0.000544719 44 4.00203E-06 1.73421E-05 4.66904E-05 9.845E-05 0.000179024 0.000294816 0.00045223 46 3.35012E-06 1.45172E-05 3.90847E-05 8.24129E-05 0.000149862 0.000246792 0.000378563 48 2.8257E-06 1.22447E-05 3.29665E-05 6.95123E-05 0.000126403 0.00020816 0.000319304 50 0.0000024 0.0000104 0.000028 0.00005904 0.00010736 0.0001768 0.0002712 52 2.05153E-06 8.88996E-06 2.39345E-05 5.04676E-05 9.17718E-05 0.000151129 0.000231823 54 1.76407E-06 7.64431E-06 2.05808E-05 4.33962E-05 7.89128E-05 0.000129953 0.00019934 56 1.52524E-06 6.60939E-06 1.77945E-05 3.7521E-05 6.82292E-05 0.00011236 0.000172353 58 1.3255E-06 5.74383E-06 1.54642E-05 3.26073E-05 5.9294E-05 9.76451E-05 0.000149781 60 1.15741E-06 5.01543E-06 1.35031E-05 2.84722E-05 5.17747E-05 8.52623E-05 0.000130787 62 1.01514E-06 4.39893E-06 1.18433E-05 2.49724E-05 4.54104E-05 7.47817E-05 0.00011471 64 8.9407E-07 3.8743E-06 1.04308E-05 2.19941E-05 3.99947E-05 6.58631E-05 0.00010103 66 7.90525E-07 3.42561E-06 9.22279E-06 1.94469E-05 3.53628E-05 5.82353E-05 8.93293E-05 68 7.01545E-07 3.04003E-06 8.18469E-06 1.7258E-05 3.13825E-05 5.16805E-05 7.92746E-05 70 6.2474E-07 2.70721E-06 7.28863E-06 1.53686E-05 2.79467E-05 4.60225E-05 7.05956E-05 72 5.58163E-07 2.41871E-06 6.51191E-06 1.37308E-05 2.49685E-05 4.1118E-05 6.30725E-05 74 5.00224E-07 2.16764E-06 5.83594E-06 1.23055E-05 2.23767E-05 3.68498E-05 5.65253E-05 76 4.49611E-07 1.94831E-06 5.24546E-06 1.10604E-05 2.01126E-05 3.31213E-05 5.0806E-05 78 4.05241E-07 1.75604E-06 4.72781E-06 9.96892E-06 1.81278E-05 2.98527E-05 4.57922E-05 80 3.66211E-07 1.58691E-06 4.27246E-06 9.00879E-06 1.63818E-05 2.69775E-05 4.13818E-05 82 3.31769E-07 1.43767E-06 3.87064E-06 8.16152E-06 1.48411E-05 2.44403E-05 3.74899E-05 84 3.01283E-07 1.30556E-06 3.51496E-06 7.41155E-06 1.34774E-05 2.21945E-05 3.40449E-05 86 2.74219E-07 1.18828E-06 3.19922E-06 6.74579E-06 1.22667E-05 2.02008E-05 3.09867E-05 88 2.50127E-07 1.08388E-06 2.91815E-06 6.15312E-06 1.1189E-05 1.8426E-05 2.82644E-05 90 2.28624E-07 9.90703E-07 2.66728E-06 5.62414E-06 1.02271E-05 1.68419E-05 2.58345E-05 92 2.09382E-07 9.07323E-07 2.44279E-06 5.1508E-06 9.36637E-06 1.54245E-05 2.36602E-05 94 1.92123E-07 8.32534E-07 2.24144E-06 4.72623E-06 8.59431E-06 1.41531E-05 2.17099E-05 96 1.76606E-07 7.65294E-07 2.06041E-06 4.34452E-06 7.90019E-06 1.301E-05 1.99565E-05 98 1.62625E-07 7.04708E-07 1.89729E-06 4.00057E-06 7.27475E-06 1.198E-05 1.83766E-05 100 0.00000015 0.00000065 0.00000175 0.00000369 0.00000671 0.00001105 0.00001695 102 1.38577E-07 6.005E-07 1.61673E-06 3.40899E-06 6.199E-06 1.02085E-05 1.56592E-05 104 1.28221E-07 5.55623E-07 1.49591E-06 3.15423E-06 5.73574E-06 9.44559E-06 1.44889E-05 106 1.18814E-07 5.14861E-07 1.38616E-06 2.92283E-06 5.31495E-06 8.75263E-06 1.3426E-05 108 1.10254E-07 4.77769E-07 1.2863E-06 2.71226E-06 4.93205E-06 8.12208E-06 1.24588E-05 110 1.02452E-07 4.43959E-07 1.19527E-06 2.52032E-06 4.58302E-06 7.5473E-06 1.15771E-05 112 9.53277E-08 4.13087E-07 1.11216E-06 2.34506E-06 4.26433E-06 7.02247E-06 1.0772E-05 114 8.8812E-08 3.84852E-07 1.03614E-06 2.18478E-06 3.97286E-06 6.54249E-06 1.00358E-05 116 8.28437E-08 3.58989E-07 9.66509E-07 2.03795E-06 3.70587E-06 6.10282E-06 9.36133E-06 118 7.73683E-08 3.35263E-07 9.02631E-07 1.90326E-06 3.46094E-06 5.69947E-06 8.74262E-06 120 7.2338E-08 3.13465E-07 8.43943E-07 1.77951E-06 3.23592E-06 5.3289E-06 8.17419E-06 122 6.77099E-08 2.93409E-07 7.89948E-07 1.66566E-06 3.02889E-06 4.98796E-06 7.65121E-06 124 6.3446E-08 2.74933E-07 7.40204E-07 1.56077E-06 2.83815E-06 4.67386E-06 7.1694E-06 126 5.95126E-08 2.57888E-07 6.94314E-07 1.46401E-06 2.6622E-06 4.3841E-06 6.72493E-06 128 5.58794E-08 2.42144E-07 6.51926E-07 1.37463E-06 2.49967E-06 4.11645E-06 6.31437E-06 130 5.25192E-08 2.27583E-07 6.12724E-07 1.29197E-06 2.34936E-06 3.86891E-06 5.93467E-06 132 4.94078E-08 2.141E-07 5.76424E-07 1.21543E-06 2.21018E-06 3.63971E-06 5.58308E-06 134 4.65235E-08 2.01602E-07 5.42774E-07 1.14448E-06 2.08115E-06 3.42723E-06 5.25715E-06 136 4.38466E-08 1.90002E-07 5.11543E-07 1.07863E-06 1.9614E-06 3.23003E-06 4.95466E-06 138 4.13595E-08 1.79224E-07 4.82527E-07 1.01744E-06 1.85015E-06 3.04681E-06 4.67362E-06 140 3.90462E-08 1.692E-07 4.55539E-07 9.60537E-07 1.74667E-06 2.87641E-06 4.41222E-06 142 3.68925E-08 1.59867E-07 4.30412E-07 9.07555E-07 1.65032E-06 2.71775E-06 4.16885E-06 144 3.48852E-08 1.51169E-07 4.06994E-07 8.58176E-07 1.56053E-06 2.56988E-06 3.94203E-06 148 3.1264E-08 1.35477E-07 3.64747E-07 7.69094E-07 1.39854E-06 2.30311E-06 3.53283E-06 150 2.96296E-08 1.28395E-07 3.45679E-07 7.28889E-07 1.32543E-06 2.18272E-06 3.34815E-06 152 2.81007E-08 1.2177E-07 3.27841E-07 6.91277E-07 1.25704E-06 2.07008E-06 3.17538E-06 154 2.66691E-08 1.15566E-07 3.1114E-07 6.5606E-07 1.193E-06 1.96462E-06 3.01361E-06 156 2.53275E-08 1.09753E-07 2.95488E-07 6.23057E-07 1.13298E-06 1.86579E-06 2.86201E-06 158 2.40693E-08 1.043E-07 2.80808E-07 5.92104E-07 1.0767E-06 1.7731E-06 2.71983E-06 160 2.28882E-08 9.91821E-08 2.67029E-07 5.63049E-07 1.02386E-06 1.6861E-06 2.58636E-06 162 2.17787E-08 9.43742E-08 2.54084E-07 5.35755E-07 9.74232E-07 1.60436E-06 2.46099E-06 164 2.07356E-08 8.98541E-08 2.41915E-07 5.10095E-07 9.27571E-07 1.52752E-06 2.34312E-06 166 1.97542E-08 8.56014E-08 2.30465E-07 4.85953E-07 8.8367E-07 1.45522E-06 2.23222E-06 168 1.88302E-08 8.15974E-08 2.19685E-07 4.63222E-07 8.42336E-07 1.38716E-06 2.12781E-06 170 1.79596E-08 7.78247E-08 2.09528E-07 4.41805E-07 8.03391E-07 1.32302E-06 2.02943E-06 172 1.71387E-08 7.42676E-08 1.99951E-07 4.21612E-07 7.6667E-07 1.26255E-06 1.93667E-06 174 1.63642E-08 7.09114E-08 1.90915E-07 4.02559E-07 7.32024E-07 1.20549E-06 1.84915E-06 176 1.56329E-08 6.77427E-08 1.82384E-07 3.8457E-07 6.99313E-07 1.15163E-06 1.76652E-06 178 1.49421E-08 6.4749E-08 1.74324E-07 3.67575E-07 6.68409E-07 1.10073E-06 1.68846E-06 180 1.4289E-08 6.19189E-08 1.66705E-07 3.51509E-07 6.39194E-07 1.05262E-06 1.61465E-06 182 1.36712E-08 5.92417E-08 1.59497E-07 3.36311E-07 6.11557E-07 1.00711E-06 1.54484E-06 184 1.30864E-08 5.67077E-08 1.52675E-07 3.21925E-07 5.85398E-07 9.64031E-07 1.47876E-06 186 1.25326E-08 5.43077E-08 1.46213E-07 3.08301E-07 5.60623E-07 9.23231E-07 1.41618E-06 188 1.20077E-08 5.20334E-08 1.4009E-07 2.95389E-07 5.37144E-07 8.84567E-07 1.35687E-06 190 1.151E-08 4.98768E-08 1.34284E-07 2.83147E-07 5.14882E-07 8.47906E-07 1.30063E-06 192 1.10379E-08 4.78309E-08 1.28775E-07 2.71532E-07 4.93762E-07 8.13125E-07 1.24728E-06 194 1.05897E-08 4.58888E-08 1.23547E-07 2.60507E-07 4.73713E-07 7.80109E-07 1.19664E-06 196 1.01641E-08 4.40442E-08 1.18581E-07 2.50036E-07 4.54672E-07 7.48752E-07 1.14854E-06 198 9.75957E-09 4.22915E-08 1.13862E-07 2.40085E-07 4.36578E-07 7.18955E-07 1.10283E-06 200 9.375E-09 4.0625E-08 1.09375E-07 2.30625E-07 4.19375E-07 6.90625E-07 1.05938E-06

Table 2:

 1 2 3 4 5 6 7 t 20 0.0005 0.0015 0.0034 0.0065 0.0111 0.0175 0.026 22 0.000341507 0.00102452 0.002322246 0.004439587 0.007581449 0.011952735 0.01775835 24 0.000241127 0.00072338 0.00163966 0.003134645 0.005353009 0.008439429 0.01253858 26 0.000175064 0.000525192 0.001190435 0.002275831 0.003886419 0.006127236 0.009103323 28 0.000130154 0.000390462 0.000885048 0.001692003 0.002889421 0.004555394 0.006768013 30 9.87654E-05 0.000296296 0.000671605 0.001283951 0.002192593 0.00345679 0.005135802 32 7.62939E-05 0.000228882 0.000518799 0.000991821 0.001693726 0.002670288 0.003967285 34 5.98652E-05 0.000179596 0.000407083 0.000778247 0.001329007 0.002095281 0.00311299 36 4.76299E-05 0.00014289 0.000323884 0.000619189 0.001057385 0.001667048 0.002476757 38 3.83668E-05 0.0001151 0.000260894 0.000498768 0.000851743 0.001342838 0.001995074 40 0.00003125 0.00009375 0.0002125 0.00040625 0.00069375 0.00109375 0.001625 42 2.57095E-05 7.71284E-05 0.000174824 0.000334223 0.00057075 0.000899831 0.001336892 44 2.13442E-05 6.40325E-05 0.00014514 0.000277474 0.000473841 0.000747046 0.001109897 46 1.78673E-05 5.36019E-05 0.000121498 0.000232275 0.000396654 0.000625355 0.000929099 48 1.50704E-05 4.52112E-05 0.000102479 0.000195915 0.000334563 0.000527464 0.000783661 50 0.0000128 0.0000384 0.00008704 0.0001664 0.00028416 0.000448 0.0006656 52 1.09415E-05 3.28245E-05 7.44022E-05 0.000142239 0.000242901 0.000382952 0.000568958 54 9.40838E-06 2.82251E-05 6.3977E-05 0.000122309 0.000208866 0.000329293 0.000489236 56 8.13463E-06 2.44039E-05 5.53155E-05 0.00010575 0.000180589 0.000284712 0.000423001 58 7.06933E-06 2.1208E-05 4.80714E-05 9.19012E-05 0.000156939 0.000247426 0.000367605 60 6.17284E-06 1.85185E-05 4.19753E-05 8.02469E-05 0.000137037 0.000216049 0.000320988 62 5.41406E-06 1.62422E-05 3.68156E-05 7.03828E-05 0.000120192 0.000189492 0.000281531 64 4.76837E-06 1.43051E-05 3.24249E-05 6.19888E-05 0.000105858 0.000166893 0.000247955 66 4.21613E-06 1.26484E-05 2.86697E-05 5.48097E-05 9.35981E-05 0.000147565 0.000219239 68 3.74157E-06 1.12247E-05 2.54427E-05 4.86405E-05 8.30629E-05 0.000130955 0.000194562 70 3.33195E-06 9.99584E-06 2.26572E-05 4.33153E-05 7.39692E-05 0.000116618 0.000173261 72 2.97687E-06 8.93061E-06 2.02427E-05 3.86993E-05 6.60865E-05 0.00010419 0.000154797 74 2.66786E-06 8.00358E-06 1.81415E-05 3.46822E-05 5.92265E-05 9.33751E-05 0.000138729 76 2.39793E-06 7.19378E-06 1.63059E-05 3.1173E-05 5.32339E-05 8.39274E-05 0.000124692 78 2.16128E-06 6.48385E-06 1.46967E-05 2.80967E-05 4.79805E-05 7.56449E-05 0.000112387 80 1.95313E-06 5.85938E-06 1.32813E-05 2.53906E-05 4.33594E-05 6.83594E-05 0.000101563 82 1.76943E-06 5.3083E-06 1.20322E-05 2.30027E-05 3.92815E-05 6.19302E-05 9.20106E-05 84 1.60684E-06 4.82052E-06 1.09265E-05 2.08889E-05 3.56719E-05 5.62394E-05 8.35557E-05 86 1.4625E-06 4.3875E-06 9.94501E-06 1.90125E-05 3.24675E-05 5.11875E-05 7.60501E-05 88 1.33401E-06 4.00203E-06 9.07127E-06 1.73421E-05 2.9615E-05 4.66904E-05 6.93686E-05 90 1.21933E-06 3.65798E-06 8.29142E-06 1.58512E-05 2.7069E-05 4.26764E-05 6.3405E-05 92 1.11671E-06 3.35012E-06 7.5936E-06 1.45172E-05 2.47909E-05 3.90847E-05 5.80687E-05 94 1.02466E-06 3.07397E-06 6.96767E-06 1.33205E-05 2.27474E-05 3.5863E-05 5.32822E-05 96 9.41901E-07 2.8257E-06 6.40492E-06 1.22447E-05 2.09102E-05 3.29665E-05 4.89788E-05 98 8.67333E-07 2.602E-06 5.89786E-06 1.12753E-05 1.92548E-05 3.03566E-05 4.51013E-05 100 0.0000008 0.0000024 0.00000544 0.0000104 0.00001776 0.000028 0.0000416 102 7.39076E-07 2.21723E-06 5.02572E-06 9.60799E-06 1.64075E-05 2.58677E-05 3.8432E-05 104 6.83843E-07 2.05153E-06 4.65013E-06 8.88996E-06 1.51813E-05 2.39345E-05 3.55599E-05 106 6.33675E-07 1.90102E-06 4.30899E-06 8.23777E-06 1.40676E-05 2.21786E-05 3.29511E-05 108 5.88024E-07 1.76407E-06 3.99856E-06 7.64431E-06 1.30541E-05 2.05808E-05 3.05772E-05 110 5.46411E-07 1.63923E-06 3.71559E-06 7.10334E-06 1.21303E-05 1.91244E-05 2.84134E-05 112 5.08414E-07 1.52524E-06 3.45722E-06 6.60939E-06 1.12868E-05 1.77945E-05 2.64376E-05 114 4.73664E-07 1.42099E-06 3.22092E-06 6.15763E-06 1.05153E-05 1.65782E-05 2.46305E-05 116 4.41833E-07 1.3255E-06 3.00446E-06 5.74383E-06 9.80869E-06 1.54642E-05 2.29753E-05 118 4.12631E-07 1.23789E-06 2.80589E-06 5.3642E-06 9.16041E-06 1.44421E-05 2.14568E-05 120 3.85802E-07 1.15741E-06 2.62346E-06 5.01543E-06 8.56481E-06 1.35031E-05 2.00617E-05 122 3.61119E-07 1.08336E-06 2.45561E-06 4.69455E-06 8.01685E-06 1.26392E-05 1.87782E-05 124 3.38379E-07 1.01514E-06 2.30098E-06 4.39893E-06 7.51201E-06 1.18433E-05 1.75957E-05 126 3.17401E-07 9.52202E-07 2.15832E-06 4.12621E-06 7.04629E-06 1.1109E-05 1.65048E-05 128 2.98023E-07 8.9407E-07 2.02656E-06 3.8743E-06 6.61612E-06 1.04308E-05 1.54972E-05 130 2.80102E-07 8.40307E-07 1.9047E-06 3.64133E-06 6.21827E-06 9.80358E-06 1.45653E-05 132 2.63508E-07 7.90525E-07 1.79186E-06 3.42561E-06 5.84988E-06 9.22279E-06 1.37024E-05 134 2.48125E-07 7.44375E-07 1.68725E-06 3.22563E-06 5.50838E-06 8.68438E-06 1.29025E-05 136 2.33848E-07 7.01545E-07 1.59017E-06 3.04003E-06 5.19143E-06 8.18469E-06 1.21601E-05 138 2.20584E-07 6.61751E-07 1.49997E-06 2.86759E-06 4.89696E-06 7.72043E-06 1.14704E-05 140 2.08247E-07 6.2474E-07 1.41608E-06 2.70721E-06 4.62307E-06 7.28863E-06 1.08288E-05 142 1.9676E-07 5.9028E-07 1.33797E-06 2.55788E-06 4.36807E-06 6.8866E-06 1.02315E-05 144 1.86054E-07 5.58163E-07 1.26517E-06 2.41871E-06 4.13041E-06 6.51191E-06 9.67483E-06 148 1.66741E-07 5.00224E-07 1.13384E-06 2.16764E-06 3.70166E-06 5.83594E-06 8.67055E-06 150 1.58025E-07 4.74074E-07 1.07457E-06 2.05432E-06 3.50815E-06 5.53086E-06 8.21728E-06 152 1.4987E-07 4.49611E-07 1.01912E-06 1.94831E-06 3.32712E-06 5.24546E-06 7.79326E-06 154 1.42235E-07 4.26706E-07 9.67199E-07 1.84906E-06 3.15762E-06 4.97823E-06 7.39623E-06 156 1.3508E-07 4.05241E-07 9.18545E-07 1.75604E-06 2.99878E-06 4.72781E-06 7.02417E-06 158 1.28369E-07 3.85108E-07 8.72912E-07 1.6688E-06 2.8498E-06 4.49293E-06 6.67521E-06 160 1.2207E-07 3.66211E-07 8.30078E-07 1.58691E-06 2.70996E-06 4.27246E-06 6.34766E-06 162 1.16153E-07 3.48459E-07 7.89839E-07 1.50999E-06 2.57859E-06 4.06535E-06 6.03995E-06 164 1.1059E-07 3.31769E-07 7.5201E-07 1.43767E-06 2.45509E-06 3.87064E-06 5.75066E-06 166 1.05356E-07 3.16067E-07 7.16418E-07 1.36962E-06 2.33889E-06 3.68745E-06 5.47849E-06 168 1.00428E-07 3.01283E-07 6.82907E-07 1.30556E-06 2.22949E-06 3.51496E-06 5.22223E-06 170 9.57843E-08 2.87353E-07 6.51333E-07 1.2452E-06 2.12641E-06 3.35245E-06 4.98078E-06 172 9.14063E-08 2.74219E-07 6.21563E-07 1.18828E-06 2.02922E-06 3.19922E-06 4.75313E-06 174 8.72756E-08 2.61827E-07 5.93474E-07 1.13458E-06 1.93752E-06 3.05465E-06 4.53833E-06 176 8.33757E-08 2.50127E-07 5.66955E-07 1.08388E-06 1.85094E-06 2.91815E-06 4.33553E-06 178 7.96911E-08 2.39073E-07 5.419E-07 1.03598E-06 1.76914E-06 2.78919E-06 4.14394E-06 180 7.62079E-08 2.28624E-07 5.18214E-07 9.90703E-07 1.69182E-06 2.66728E-06 3.96281E-06 182 7.29129E-08 2.18739E-07 4.95808E-07 9.47868E-07 1.61867E-06 2.55195E-06 3.79147E-06 184 6.97941E-08 2.09382E-07 4.746E-07 9.07323E-07 1.54943E-06 2.44279E-06 3.62929E-06 186 6.68403E-08 2.00521E-07 4.54514E-07 8.68924E-07 1.48385E-06 2.33941E-06 3.47569E-06 188 6.40411E-08 1.92123E-07 4.35479E-07 8.32534E-07 1.42171E-06 2.24144E-06 3.33014E-06 190 6.13869E-08 1.84161E-07 4.17431E-07 7.98029E-07 1.36279E-06 2.14854E-06 3.19212E-06 192 5.88688E-08 1.76606E-07 4.00308E-07 7.65294E-07 1.30689E-06 2.06041E-06 3.06118E-06 194 5.64785E-08 1.69435E-07 3.84054E-07 7.3422E-07 1.25382E-06 1.97675E-06 2.93688E-06 196 5.42083E-08 1.62625E-07 3.68616E-07 7.04708E-07 1.20342E-06 1.89729E-06 2.81883E-06 198 5.2051E-08 1.56153E-07 3.53947E-07 6.76663E-07 1.15553E-06 1.82179E-06 2.70665E-06 200 0.00000005 0.00000015 0.00000034 0.00000065 0.00000111 0.00000175 0.0000026

Table 3:

 1 2 3 4 5 6 7 t 20 0.00159375 0.00380625 0.00759375 0.01340625 0.02169375 0.03290625 0.04749375 22 0.001088553 0.00259972 0.005186633 0.009156649 0.014817123 0.022475412 0.03243887 24 0.000768591 0.001835576 0.003662109 0.006465205 0.010461878 0.015869141 0.022904008 26 0.000558016 0.001332674 0.002658783 0.004693901 0.007595585 0.011521393 0.016628882 28 0.000414866 0.000990798 0.001976715 0.003489757 0.005647061 0.008565767 0.012363013 30 0.000314815 0.000751852 0.0015 0.002648148 0.004285185 0.0065 0.009381481 32 0.000243187 0.000580788 0.001158714 0.002045631 0.003310204 0.005021095 0.007246971 34 0.00019082 0.000455724 0.000909202 0.001605135 0.002597401 0.003939877 0.005686444 36 0.00015182 0.000362583 0.00072338 0.001277078 0.002066544 0.003134645 0.004524248 38 0.000122294 0.000292067 0.000582696 0.00102871 0.00166464 0.002525015 0.003644367 40 9.96094E-05 0.000237891 0.000474609 0.000837891 0.001355859 0.002056641 0.002968359 42 8.19489E-05 0.000195713 0.000390462 0.000689335 0.001115469 0.001692003 0.002442077 44 6.80345E-05 0.000162482 0.000324165 0.000572291 0.00092607 0.001404713 0.002027429 46 5.6952E-05 0.000136015 0.000271359 0.000479067 0.000775217 0.001175891 0.001697169 48 4.80369E-05 0.000114723 0.000228882 0.000404075 0.000653867 0.000991821 0.0014315 50 0.0000408 0.00009744 0.0001944 0.0003432 0.00055536 0.0008424 0.00121584 52 3.4876E-05 8.32921E-05 0.000166174 0.000293369 0.000474724 0.000720087 0.001039305 54 2.99892E-05 7.16213E-05 0.00014289 0.000252262 0.000408206 0.000619189 0.000893679 56 2.59291E-05 6.19249E-05 0.000123545 0.00021811 0.000352941 0.00053536 0.000772688 58 2.25335E-05 5.38152E-05 0.000107365 0.000189546 0.00030672 0.00046525 0.000671498 60 1.96759E-05 4.69907E-05 0.00009375 0.000165509 0.000267824 0.00040625 0.000586343 62 1.72573E-05 4.12145E-05 8.22261E-05 0.000145165 0.000234903 0.000356313 0.000514268 64 1.51992E-05 3.62992E-05 7.24196E-05 0.000127852 0.000206888 0.000313818 0.000452936 66 1.34389E-05 3.20953E-05 6.40325E-05 0.000113045 0.000182927 0.000277474 0.00040048 68 1.19263E-05 2.84827E-05 5.68252E-05 0.000100321 0.000162338 0.000246242 0.000355403 70 1.06206E-05 2.53644E-05 5.06039E-05 8.93378E-05 0.000144565 0.000219284 0.000316493 72 9.48878E-06 2.26614E-05 4.52112E-05 7.98174E-05 0.000129159 0.000195915 0.000282766 74 8.50381E-06 2.03091E-05 4.05181E-05 7.1532E-05 0.000115752 0.000175579 0.000253413 76 7.64339E-06 1.82542E-05 3.64185E-05 6.42944E-05 0.00010404 0.000157813 0.000227773 78 6.88909E-06 1.64528E-05 3.28245E-05 5.79494E-05 9.37727E-05 0.000142239 0.000205295 80 6.22559E-06 1.48682E-05 2.96631E-05 5.23682E-05 8.47412E-05 0.00012854 0.000185522 82 5.64007E-06 1.34698E-05 2.68733E-05 4.7443E-05 7.67714E-05 0.000116451 0.000168074 84 5.1218E-06 1.22321E-05 2.44039E-05 4.30834E-05 6.97168E-05 0.00010575 0.00015263 86 4.66172E-06 1.11333E-05 2.22117E-05 3.92133E-05 6.34543E-05 9.62508E-05 0.000138919 88 4.25216E-06 1.01552E-05 2.02603E-05 3.57682E-05 5.78794E-05 8.77946E-05 0.000126714 90 3.8866E-06 9.28212E-06 1.85185E-05 3.26932E-05 5.29035E-05 8.02469E-05 0.000115821 92 3.5595E-06 8.50092E-06 1.696E-05 2.99417E-05 4.84511E-05 7.34932E-05 0.000106073 94 3.26609E-06 7.8002E-06 1.5562E-05 2.74736E-05 4.44573E-05 6.74352E-05 9.73296E-05 96 3.00231E-06 7.17022E-06 1.43051E-05 2.52547E-05 4.08667E-05 6.19888E-05 8.94688E-05 98 2.76462E-06 6.60257E-06 1.31726E-05 2.32554E-05 3.76314E-05 5.70813E-05 8.23858E-05 100 0.00000255 0.00000609 0.00001215 0.00002145 0.00003471 0.00005265 0.00007599 102 2.35581E-06 5.62622E-06 1.12247E-05 1.98165E-05 3.20667E-05 4.86405E-05 7.0203E-05 104 2.17975E-06 5.20576E-06 1.03859E-05 1.83355E-05 2.96703E-05 4.50054E-05 6.49566E-05 106 2.01984E-06 4.82385E-06 9.62394E-06 1.69904E-05 2.74936E-05 4.17037E-05 6.01912E-05 108 1.87433E-06 4.47633E-06 8.93061E-06 1.57664E-05 2.55129E-05 3.86993E-05 5.58549E-05 110 1.74168E-06 4.15955E-06 8.29861E-06 1.46506E-05 2.37074E-05 3.59607E-05 5.19022E-05 112 1.62057E-06 3.87031E-06 7.72154E-06 1.36319E-05 2.20588E-05 3.346E-05 4.8293E-05 114 1.5098E-06 3.60577E-06 7.19378E-06 1.27001E-05 2.05511E-05 3.1173E-05 4.49922E-05 116 1.40834E-06 3.36345E-06 6.71034E-06 1.18466E-05 1.917E-05 2.90781E-05 4.19686E-05 118 1.31526E-06 3.14115E-06 6.26683E-06 1.10637E-05 1.7903E-05 2.71563E-05 3.91948E-05 120 1.22975E-06 2.93692E-06 5.85938E-06 1.03443E-05 1.6739E-05 2.53906E-05 3.66464E-05 122 1.15107E-06 2.74902E-06 5.4845E-06 9.68251E-06 1.56681E-05 2.37662E-05 3.43018E-05 124 1.07858E-06 2.57591E-06 5.13913E-06 9.07278E-06 1.46814E-05 2.22696E-05 3.21418E-05 126 1.01171E-06 2.41621E-06 4.82052E-06 8.5103E-06 1.37712E-05 2.08889E-05 3.01491E-05 128 9.49949E-07 2.2687E-06 4.52623E-06 7.99075E-06 1.29305E-05 1.96137E-05 2.83085E-05 130 8.92826E-07 2.13228E-06 4.25405E-06 7.51024E-06 1.21529E-05 1.84342E-05 2.66062E-05 132 8.39933E-07 2.00596E-06 4.00203E-06 7.06532E-06 1.1433E-05 1.73421E-05 2.503E-05 134 7.90899E-07 1.88885E-06 3.7684E-06 6.65286E-06 1.07655E-05 1.63297E-05 2.35688E-05 136 7.45392E-07 1.78017E-06 3.55157E-06 6.27006E-06 1.01461E-05 1.53901E-05 2.22127E-05 138 7.03111E-07 1.67919E-06 3.35012E-06 5.9144E-06 9.57058E-06 1.45172E-05 2.09527E-05 140 6.63786E-07 1.58528E-06 3.16274E-06 5.58361E-06 9.0353E-06 1.37052E-05 1.97808E-05 142 6.27172E-07 1.49783E-06 2.98829E-06 5.27563E-06 8.53692E-06 1.29493E-05 1.86897E-05 144 5.93049E-07 1.41634E-06 2.8257E-06 4.98858E-06 8.07244E-06 1.22447E-05 1.76728E-05 148 5.31488E-07 1.26932E-06 2.53238E-06 4.47075E-06 7.23449E-06 1.09737E-05 1.58383E-05 150 5.03704E-07 1.20296E-06 0.0000024 4.23704E-06 6.8563E-06 0.0000104 1.50104E-05 152 4.77712E-07 1.14089E-06 2.27616E-06 4.0184E-06 6.5025E-06 9.86334E-06 1.42358E-05 154 4.53375E-07 1.08277E-06 2.1602E-06 3.81368E-06 6.17123E-06 9.36085E-06 1.35106E-05 156 4.30568E-07 1.0283E-06 2.05153E-06 3.62184E-06 5.86079E-06 8.88996E-06 1.28309E-05 158 4.09178E-07 9.77212E-07 1.94961E-06 3.44191E-06 5.56963E-06 8.44831E-06 1.21935E-05 160 3.89099E-07 9.2926E-07 1.85394E-06 3.27301E-06 5.29633E-06 8.03375E-06 1.15952E-05 162 3.70237E-07 8.84214E-07 1.76407E-06 3.11435E-06 5.03958E-06 7.64431E-06 1.10331E-05 164 3.52505E-07 8.41864E-07 1.67958E-06 2.96519E-06 4.79821E-06 7.27818E-06 1.05046E-05 166 3.35821E-07 8.0202E-07 1.60009E-06 2.82485E-06 4.57112E-06 6.93372E-06 1.00075E-05 168 3.20113E-07 7.64505E-07 1.52524E-06 2.69271E-06 4.3573E-06 6.60939E-06 9.53936E-06 170 3.05312E-07 7.29158E-07 1.45472E-06 2.56822E-06 4.15584E-06 6.3038E-06 9.09831E-06 172 2.91358E-07 6.95831E-07 1.38823E-06 2.45083E-06 3.96589E-06 6.01568E-06 8.68246E-06 174 2.78191E-07 6.64386E-07 1.3255E-06 2.34008E-06 3.78667E-06 5.74383E-06 8.29009E-06 176 2.6576E-07 6.34697E-07 1.26627E-06 2.23551E-06 3.61746E-06 5.48716E-06 7.91965E-06 178 2.54015E-07 6.06649E-07 1.21031E-06 2.13672E-06 3.4576E-06 5.24467E-06 7.56966E-06 180 2.42913E-07 5.80133E-07 1.15741E-06 2.04332E-06 3.30647E-06 5.01543E-06 7.2388E-06 182 2.3241E-07 5.5505E-07 1.10736E-06 1.95498E-06 3.16351E-06 4.79858E-06 6.92582E-06 184 2.22469E-07 5.31308E-07 1.06E-06 1.87135E-06 3.02819E-06 4.59332E-06 6.62957E-06 186 2.13053E-07 5.08822E-07 1.01514E-06 1.79215E-06 2.90003E-06 4.39893E-06 6.34899E-06 188 2.04131E-07 4.87513E-07 9.72624E-07 1.7171E-06 2.77858E-06 4.2147E-06 6.0831E-06 190 1.95671E-07 4.67308E-07 9.32313E-07 1.64594E-06 2.66342E-06 4.04002E-06 5.83099E-06 192 1.87644E-07 4.48139E-07 8.9407E-07 1.57842E-06 2.55417E-06 3.8743E-06 5.5918E-06 194 1.80025E-07 4.29942E-07 8.57767E-07 1.51433E-06 2.45046E-06 3.71699E-06 5.36475E-06 196 1.72789E-07 4.12661E-07 8.23288E-07 1.45346E-06 2.35196E-06 3.56758E-06 5.14911E-06 198 1.65913E-07 3.96238E-07 7.90525E-07 1.39562E-06 2.25836E-06 3.42561E-06 4.9442E-06 200 1.59375E-07 3.80625E-07 7.59375E-07 1.34063E-06 2.16938E-06 3.29063E-06 4.74938E-06

Table 4:

 1 2 3 4 5 6 7 t 20 0.0039 0.008 0.0145 0.024 0.0371 0.0544 0.0765 22 0.002663752 0.005464108 0.009903695 0.016392323 0.025339799 0.037155932 0.052250529 24 0.001880787 0.003858025 0.00699267 0.011574074 0.01789159 0.026234568 0.036892361 26 0.001365498 0.002801022 0.005076853 0.008403067 0.012989741 0.019046952 0.026784776 28 0.001015202 0.002082466 0.003774469 0.006247397 0.009657434 0.014160766 0.019913578 30 0.00077037 0.001580247 0.002864198 0.004740741 0.007328395 0.010745679 0.015111111 32 0.000595093 0.001220703 0.002212524 0.003662109 0.005661011 0.008300781 0.011672974 34 0.000466948 0.000957843 0.00173609 0.002873529 0.004441997 0.006513332 0.009159373 36 0.000371513 0.000762079 0.001381268 0.002286237 0.003534141 0.005182137 0.00728738 38 0.000299261 0.000613869 0.001112637 0.001841606 0.002846817 0.004174308 0.005870121 40 0.00024375 0.0005 0.00090625 0.0015 0.00231875 0.0034 0.00478125 42 0.000200534 0.000411351 0.000745574 0.001234054 0.001907641 0.002797188 0.003933546 44 0.000166485 0.000341507 0.000618981 0.00102452 0.001583737 0.002322246 0.003265658 46 0.000139365 0.000285877 0.000518151 0.00085763 0.001325753 0.001943961 0.002733695 48 0.000117549 0.000241127 0.000437042 0.00072338 0.001118224 0.00163966 0.002305773 50 0.00009984 0.0002048 0.0003712 0.0006144 0.00094976 0.00139264 0.0019584 52 8.53437E-05 0.000175064 0.000317303 0.000525192 0.000811859 0.001190435 0.001674049 54 7.33854E-05 0.000150534 0.000272843 0.000451602 0.000698102 0.001023632 0.001439482 56 6.34501E-05 0.000130154 0.000235904 0.000390462 0.00060359 0.000885048 0.001244599 58 5.51407E-05 0.000113109 0.00020501 0.000339328 0.000524544 0.000769143 0.001081607 60 4.81481E-05 9.87654E-05 0.000179012 0.000296296 0.000458025 0.000671605 0.000944444 62 4.22297E-05 8.6625E-05 0.000157008 0.000259875 0.000401723 0.00058905 0.000828351 64 3.71933E-05 7.62939E-05 0.000138283 0.000228882 0.000353813 0.000518799 0.000729561 66 3.28858E-05 6.74581E-05 0.000122268 0.000202374 0.000312837 0.000458715 0.000645068 68 2.91843E-05 5.98652E-05 0.000108506 0.000179596 0.000277625 0.000407083 0.000572461 70 2.59892E-05 5.33111E-05 9.66264E-05 0.000159933 0.00024723 0.000362516 0.000509788 72 2.32196E-05 4.76299E-05 8.63293E-05 0.00014289 0.000220884 0.000323884 0.000455461 74 2.08093E-05 4.26858E-05 7.7368E-05 0.000128057 0.000197955 0.000290263 0.000408183 76 1.87038E-05 3.83668E-05 6.95398E-05 0.0001151 0.000177926 0.000260894 0.000366883 78 1.6858E-05 3.45805E-05 6.26772E-05 0.000103742 0.000160367 0.000235148 0.000330676 80 1.52344E-05 0.00003125 5.66406E-05 0.00009375 0.000144922 0.0002125 0.000298828 82 1.38016E-05 2.8311E-05 5.13136E-05 8.49329E-05 0.000131292 0.000192515 0.000270724 84 1.25334E-05 2.57095E-05 4.65984E-05 7.71284E-05 0.000119228 0.000174824 0.000245847 86 1.14075E-05 2.34E-05 4.24125E-05 7.02E-05 0.000108518 0.00015912 0.000223763 88 1.04053E-05 2.13442E-05 3.86863E-05 6.40325E-05 9.89836E-05 0.00014514 0.000204104 90 9.51075E-06 1.95092E-05 3.53605E-05 5.85277E-05 9.0474E-05 0.000132663 0.000186557 92 8.7103E-06 1.78673E-05 3.23845E-05 5.36019E-05 8.28596E-05 0.000121498 0.000170856 94 7.99233E-06 1.63945E-05 2.97151E-05 4.91835E-05 7.60296E-05 0.000111483 0.000156773 96 7.34682E-06 1.50704E-05 2.73151E-05 4.52112E-05 6.9889E-05 0.000102479