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