3-reel slot machines

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

        1.10.  A specific symbol three times or another specific symbol twice           

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.

                      Tables of values for the probability of a specific symbol three times or another specific symbol twice occurring on a payline

                Table 1:

1

2

3

4

5

6

7

t

20

0.00725

0.027125

0.0575

0.096125

0.14075

0.189125

0.239

22

0.00601052

0.02263336

0.04827198

0.08123591

0.11983471

0.16237791

0.20717506

24

0.00506366

0.01916956

0.04108796

0.06951678

0.10315394

0.14069734

0.18084491

26

0.00432408

0.01644288

0.03538917

0.06013883

0.08966773

0.12295175

0.15896677

28

0.00373542

0.01425838

0.03079446

0.05252369

0.07862609

0.10828171

0.14067055

30

0.00325926

0.01248148

0.02703704

0.04625926

0.06948148

0.09603704

0.12525926

32

0.00286865

0.01101685

0.02392578

0.04104614

0.06182861

0.08572388

0.11218262

34

0.00254427

0.00979544

0.02132099

0.03666294

0.05536332

0.07696418

0.10100753

36

0.00227195

0.00876629

0.01911866

0.03294324

0.04985425

0.06946588

0.09139232

38

0.00204111

0.00789109

0.01724012

0.02976017

0.0451232

0.06300117

0.08306604

40

0.00184375

0.00714063

0.015625

0.02701563

0.04103125

0.05739063

0.0758125

42

0.00167369

0.00649228

0.01422633

0.02463287

0.03746896

0.05249163

0.06945794

44

0.00152611

0.00592834

0.01300714

0.02255118

0.03434917

0.0481898

0.06386176

46

0.00139722

0.00543478

0.01193803

0.02072204

0.03160187

0.04439262

0.05890934

48

0.001284

0.00500036

0.01099537

0.01910626

0.02917028

0.04102467

0.05450666

50

0.001184

0.004616

0.01016

0.017672

0.027008

0.038024

0.050576

52

0.00109524

0.00427429

0.00941625

0.01639309

0.02507681

0.03533938

0.0470528

54

0.00101611

0.00396916

0.00875121

0.01524793

0.02334502

0.03292816

0.04388305

56

0.00094524

0.00369556

0.00815415

0.01421852

0.02178617

0.0307546

0.04102132

58

0.00088154

0.0034493

0.00761614

0.0132898

0.02037804

0.02878859

0.03842921

60

0.00082407

0.00322685

0.00712963

0.01244907

0.01910185

0.02700463

0.03607407

62

0.00077205

0.00302524

0.00668826

0.01168558

0.01794166

0.02538099

0.03392803

64

0.00072479

0.00284195

0.00628662

0.01099014

0.01688385

0.02389908

0.03196716

66

0.00068175

0.00267482

0.00592008

0.01035493

0.01591674

0.02254292

0.03017085

68

0.00064243

0.00252201

0.00558467

0.00977318

0.01503028

0.02129872

0.02852127

70

0.00060641

0.00238192

0.00527697

0.00923907

0.01421574

0.02015452

0.02700292

72

0.00057335

0.00225319

0.004994

0.00874754

0.01346558

0.0190999

0.02560228

74

0.00054291

0.00213462

0.00473318

0.00829418

0.01277318

0.01812578

0.02430754

76

0.00051483

0.00202517

0.00449227

0.00787515

0.01213278

0.01722418

0.02310832

78

0.00048888

0.00192392

0.00426929

0.00748706

0.0115393

0.01638809

0.02199548

80

0.00046484

0.00183008

0.0040625

0.00712695

0.01098828

0.01561133

0.02096094

82

0.00044254

0.00174294

0.00387037

0.0067922

0.01047576

0.01488842

0.01999753

84

0.0004218

0.00166188

0.00369156

0.00648047

0.00999825

0.01421452

0.01909891

86

0.00040248

0.00158634

0.00352485

0.00618971

0.00955262

0.01358528

0.0182594

88

0.00038446

0.00151584

0.00336918

0.00591807

0.00913611

0.01299687

0.01747394

90

0.00036763

0.00144993

0.00322359

0.00566392

0.00874623

0.01244582

0.016738

92

0.00035187

0.00138823

0.00308724

0.00542579

0.00838076

0.01192904

0.01604751

94

0.00033711

0.00133039

0.00295936

0.00520236

0.00803772

0.01144376

0.0153988

96

0.00032326

0.00127609

0.00283927

0.00499245

0.0077153

0.01098746

0.01478859

98

0.00031024

0.00122504

0.00272633

0.00479498

0.00741188

0.01055789

0.01421389

100

0.000298

0.001177

0.00262

0.004609

0.007126

0.010153

0.013672

102

0.00028647

0.00113173

0.00251977

0.00443363

0.00685634

0.00977094

0.01316047

104

0.00027559

0.00108902

0.00242518

0.00426807

0.00660169

0.00941003

0.01267709

106

0.00026532

0.00104868

0.00233582

0.00411162

0.00636096

0.00906873

0.01221982

108

0.00025561

0.00101055

0.00225131

0.0039636

0.00613315

0.00874565

0.01178682

110

0.00024643

0.00097446

0.0021713

0.00382344

0.00591736

0.00843952

0.01137641

112

0.00023773

0.00094026

0.00209548

0.00369058

0.00571275

0.00814917

0.01098704

114

0.00022949

0.00090784

0.00202356

0.00356452

0.00551857

0.00787354

0.0106173

116

0.00022167

0.00087706

0.00195529

0.00344482

0.00533412

0.00761165

0.0102659

118

0.00021424

0.00084782

0.00189041

0.00333104

0.00515876

0.00736261

0.00993164

120

0.00020718

0.00082002

0.0018287

0.0032228

0.0049919

0.00712558

0.00961343

122

0.00020046

0.00079357

0.00176997

0.00311975

0.004833

0.00689981

0.00931025

124

0.00019406

0.00076837

0.00171402

0.00302157

0.00468157

0.00668459

0.00902118

126

0.00018796

0.00074436

0.00166069

0.00292795

0.00453715

0.00647928

0.00874536

128

0.00018215

0.00072145

0.0016098

0.00283861

0.0043993

0.00628328

0.00848198

130

0.0001766

0.00069959

0.00156122

0.0027533

0.00426764

0.00609604

0.00823031

132

0.00017131

0.00067871

0.0015148

0.00267178

0.0041418

0.00591704

0.00798968

134

0.00016624

0.00065874

0.00147043

0.00259382

0.00402144

0.0057458

0.00775943

136

0.0001614

0.00063965

0.00142797

0.00251923

0.00390625

0.00558189

0.00753899

138

0.00015677

0.00062137

0.00138733

0.0024478

0.00379594

0.00542489

0.00732781

140

0.00015233

0.00060386

0.0013484

0.00237937

0.00369023

0.00527442

0.00712536

142

0.00014808

0.00058709

0.00131108

0.00231377

0.00358888

0.00513012

0.00693119

144

0.00014401

0.000571

0.00127529

0.00225085

0.00349165

0.00499165

0.00674485

148

0.00013634

0.00054075

0.00120797

0.00213246

0.00330866

0.00473103

0.00639399

150

0.00013274

0.00052652

0.0011763

0.00207674

0.00322252

0.0046083

0.00622874

152

0.00012928

0.00051284

0.00114585

0.00202317

0.00313969

0.00449028

0.00606981

154

0.00012595

0.00049969

0.00111657

0.00197165

0.00306002

0.00437674

0.00591688

156

0.00012275

0.00048704

0.00108839

0.00192208

0.00298334

0.00426745

0.00576965

158

0.00011967

0.00047486

0.00106128

0.00187434

0.00290951

0.0041622

0.00562785

160

0.0001167

0.00046313

0.00103516

0.00182837

0.00283838

0.00406079

0.00549121

162

0.00011384

0.00045184

0.00100999

0.00178406

0.00276983

0.00396305

0.00535948

164

0.00011109

0.00044095

0.00098573

0.00174135

0.00270373

0.00386879

0.00523244

166

0.00010843

0.00043045

0.00096233

0.00170015

0.00263997

0.00377785

0.00510986

168

0.00010587

0.00042032

0.00093976

0.0016604

0.00257844

0.00369008

0.00499153

170

0.0001034

0.00041054

0.00091797

0.00162202

0.00251903

0.00360533

0.00487726

172

0.00010101

0.0004011

0.00089693

0.00158496

0.00246165

0.00352347

0.00476688

174

9.8709E-05

0.00039199

0.00087661

0.00154916

0.00240622

0.00344437

0.00466019

176

9.6482E-05

0.00038318

0.00085697

0.00151455

0.00235263

0.00336789

0.00455705

178

9.433E-05

0.00037466

0.00083798

0.00148109

0.00230081

0.00329394

0.00445729

180

9.225E-05

0.00036643

0.00081962

0.00144873

0.00225069

0.00322239

0.00436077

182

9.0237E-05

0.00035846

0.00080185

0.00141742

0.00220218

0.00315315

0.00426735

184

8.829E-05

0.00035075

0.00078465

0.00138711

0.00215523

0.00308612

0.0041769

186

8.6404E-05

0.00034329

0.000768

0.00135776

0.00210976

0.0030212

0.00408929

188

8.4579E-05

0.00033606

0.00075188

0.00132934

0.00206572

0.00295831

0.00400441

190

8.2811E-05

0.00032906

0.00073626

0.00130179

0.00202304

0.00289736

0.00392215

192

8.1098E-05

0.00032227

0.00072112

0.0012751

0.00198166

0.00283828

0.00384239

194

7.9437E-05

0.00031569

0.00070644

0.00124922

0.00194155

0.00278098

0.00376504

196

7.7827E-05

0.00030932

0.00069221

0.00122411

0.00190264

0.0027254

0.00369

198

7.6265E-05

0.00030313

0.0006784

0.00119976

0.00186489

0.00267147

0.00361718

200

0.00007475

0.00029713

0.000665

0.00117613

0.00182825

0.00261913

0.0035465

             Table 2:

1

2

3

4

5

6

7

t

20

0.008125

0.028

0.058375

0.097

0.141625

0.19

0.239875

22

0.006667919

0.023290759

0.048929376

0.081893313

0.120492111

0.163035312

0.207832457

24

0.005570023

0.019675926

0.041594329

0.070023148

0.103660301

0.141203704

0.181351273

26

0.004722349

0.016841147

0.035787437

0.060537096

0.090065999

0.123350023

0.159365043

28

0.0040543

0.014577259

0.031113338

0.052842566

0.078944971

0.108600583

0.140989431

30

0.003518519

0.012740741

0.027296296

0.046518519

0.069740741

0.096296296

0.125518519

32

0.003082275

0.011230469

0.024139404

0.041259766

0.062042236

0.0859375

0.11239624

34

0.002722369

0.00997354

0.021499084

0.036841034

0.055541421

0.077142276

0.10118563

36

0.002421982

0.008916324

0.01926869

0.033093278

0.050004287

0.069615912

0.091542353

38

0.002168683

0.008018662

0.017367692

0.029887739

0.045250765

0.063128736

0.083193614

40

0.001953125

0.00725

0.015734375

0.027125

0.041140625

0.0575

0.075921875

42

0.001768168

0.006586762

0.014320808

0.024727351

0.037563438

0.052586114

0.069552424

44

0.001608283

0.006010518

0.013089313

0.022633358

0.034431349

0.048271976

0.063943933

46

0.001469138

0.005506698

0.012009945

0.020793951

0.03167379

0.044464535

0.058981261

48

0.001347295

0.005063657

0.011058666

0.01916956

0.029233579

0.041087963

0.054569951

50

0.00124

0.004672

0.010216

0.017728

0.027064

0.03808

0.050632

52

0.001145027

0.004324078

0.009466033

0.016442877

0.025126593

0.035389167

0.047102583

54

0.00106056

0.004013616

0.008795661

0.015292384

0.023389473

0.032972616

0.043927501

56

0.000985104

0.003735423

0.008194014

0.014258382

0.02182603

0.030794461

0.041061179

58

0.000917422

0.003485178

0.007652015

0.01332568

0.020413916

0.02882447

0.038465087

60

0.000856481

0.003259259

0.007162037

0.012481481

0.019134259

0.027037037

0.036106481

62

0.000801417

0.003054614

0.006717633

0.011714947

0.017971032

0.025410359

0.033957403

64

0.000751495

0.002868652

0.006313324

0.011016846

0.016910553

0.023925781

0.031993866

66

0.000706097

0.002699168

0.005944431

0.010379275

0.015941091

0.022567271

0.030195203

68

0.000664691

0.00254427

0.005606936

0.009795441

0.015052539

0.021320985

0.028543532

70

0.000626822

0.002402332

0.005297376

0.009259475

0.014236152

0.020174927

0.027023324

72

0.0005921

0.002271948

0.005012753

0.008766289

0.013484332

0.019118656

0.025621035

74

0.000560184

0.002151896

0.004750459

0.008311452

0.012790457

0.018143052

0.024324818

76

0.000530781

0.002041114

0.004508219

0.007891092

0.012148728

0.017240122

0.023124271

78

0.000503633

0.001938671

0.004284041

0.007501812

0.011554055

0.016402839

0.022010233

80

0.000478516

0.00184375

0.004076172

0.007140625

0.011001953

0.015625

0.020974609

82

0.000455231

0.001755633

0.003883069

0.006804893

0.010488458

0.014901119

0.020010229

84

0.000433606

0.001673685

0.003703366

0.006492279

0.010010056

0.014226325

0.01911072

86

0.000413486

0.001597344

0.003535852

0.006200712

0.009563623

0.013596287

0.018270404

88

0.000394734

0.001526108

0.003379449

0.005928343

0.009146377

0.013007137

0.017484211

90

0.000377229

0.001459534

0.003233196

0.005673525

0.00875583

0.012455418

0.016747599

92

0.000360863

0.001397222

0.003096234

0.005434783

0.008389753

0.011938029

0.016056495

94

0.00034554

0.001338817

0.002967791

0.005210791

0.008046146

0.011452183

0.015407232

96

0.000331172

0.001283999

0.002847177

0.005000362

0.007723208

0.01099537

0.014796504

98

0.000317682

0.00123248

0.002733767

0.004802421

0.007419315

0.010565326

0.014221328

100

0.000305

0.001184

0.002627

0.004616

0.007133

0.01016

0.013679

102

0.000293062

0.001138325

0.002526366

0.004440223

0.006862934

0.009777537

0.01316707

104

0.000281812

0.001095244

0.002431405

0.004274294

0.00660791

0.009416249

0.012683311

106

0.000271197

0.001054562

0.002341698

0.004117493

0.006366833

0.009074605

0.012225696

108

0.000261171

0.001016105

0.002256865

0.003969161

0.006138705

0.008751207

0.011792378

110

0.00025169

0.000979715

0.002176559

0.0038287

0.005922615

0.008444778

0.011381668

112

0.000242717

0.000945244

0.002100464

0.003695563

0.005717731

0.008154155

0.010992022

114

0.000234215

0.000912561

0.002028289

0.003569249

0.005523292

0.007878268

0.010622027

116

0.000226152

0.000881545

0.001959772

0.003449301

0.0053386

0.007616138

0.010270383

118

0.000218498

0.000852083

0.001894668

0.003335297

0.005163016

0.007366868

0.009935899

120

0.000211227

0.000824074

0.001832755

0.003226852

0.004995949

0.00712963

0.009617477

122

0.000204312

0.000797424

0.001773827

0.003123609

0.004836859

0.006903662

0.009314106

124

0.000197732

0.000772045

0.001717696

0.003025243

0.004685245

0.006688262

0.009024852

126

0.000191464

0.000747859

0.001664187

0.002931449

0.004540646

0.006482781

0.008748855

128

0.00018549

0.000724792

0.00161314

0.002841949

0.004402637

0.006286621

0.008485317

130

0.000179791

0.000702777

0.001564406

0.002756486

0.004270824

0.006099226

0.0082335

132

0.00017435

0.000681749

0.001517847

0.00267482

0.00414484

0.005920082

0.00799272

134

0.000169153

0.000661651

0.001473336

0.002596729

0.004024348

0.005748712

0.007762341

136

0.000164185

0.000642428

0.001430755

0.002522008

0.003909033

0.005584673

0.007541774

138

0.000159432

0.000624032

0.001389992

0.002450466

0.003798602

0.005427553

0.007330469

140

0.000154883

0.000606414

0.001350948

0.002381924

0.003692784

0.005276968

0.007127915

142

0.000150526

0.000589532

0.001313525

0.002316218

0.003591326

0.005132561

0.006933637

144

0.00014635

0.000573345

0.001277636

0.002253194

0.003493991

0.004993999

0.00674719

148

0.000138504

0.00054291

0.001210133

0.002134622

0.003310823

0.004733185

0.006396154

150

0.000134815

0.000528593

0.00117837

0.002078815

0.003224593

0.00461037

0.006230815

152

0.000131271

0.000514835

0.001147842

0.002025168

0.003141687

0.004492273

0.006071801

154

0.000127866

0.000501607

0.001118484

0.00197357

0.003061936

0.004378654

0.005918794

156

0.000124591

0.000488882

0.001090239

0.00192392

0.002985184

0.00426929

0.005771496

158

0.000121441

0.000476636

0.00106305

0.001876119

0.002911281

0.004163971

0.005629626

160

0.000118408

0.000464844

0.001036865

0.001830078

0.002840088

0.0040625

0.00549292

162

0.000115488

0.000453484

0.001011636

0.001785711

0.002771474

0.003964692

0.005361131

164

0.000112674

0.000442536

0.000987317

0.001742938

0.002705317

0.003870373

0.005234027

166

0.000109962

0.000431979

0.000963864

0.001701683

0.002641499

0.003779379

0.005111388

168

0.000107347

0.000421796

0.000941237

0.001661875

0.002579913

0.003691556

0.004993007

170

0.000104824

0.000411968

0.000919398

0.001623448

0.002520456

0.003606758

0.004878689

172

0.000102389

0.00040248

0.000898309

0.001586338

0.00246303

0.003524847

0.004768252

174

0.000100038

0.000393316

0.000877938

0.001550486

0.002407544

0.003445694

0.00466152

176

9.77663E-05

0.000384462

0.000858252

0.001515836

0.002353912

0.003369177

0.004558331

178

9.55716E-05

0.000375903

0.000839221

0.001482335

0.002302052

0.00329518

0.004458529

180

9.34499E-05

0.000367627

0.000820816

0.001449931

0.002251886

0.003223594

0.004361968

182

9.13982E-05

0.000359621

0.00080301

0.001418579

0.002203342

0.003154315

0.00426851

184

8.94132E-05

0.000351874

0.000785777

0.001388233

0.002156351

0.003087244

0.004178021

186

8.74922E-05

0.000344374

0.000769093

0.001358849

0.002110848

0.00302229

0.004090379

188

8.56325E-05

0.000337112

0.000752934

0.001330389

0.002066769

0.002959364

0.004005465

190

8.38315E-05

0.000330077

0.000737279

0.001302814

0.002024056

0.002898382

0.003923167

192

8.20866E-05

0.00032326

0.000722108

0.001276087

0.001982654

0.002839265

0.003843378

194

8.03957E-05

0.000316652

0.0007074

0.001250174

0.001942508

0.002781938

0.003765998

196

7.87565E-05

0.000310245

0.000693137

0.001225042

0.00190357

0.00272633

0.003690931

198

7.71669E-05

0.00030403

0.000679301

0.001200661

0.001865791

0.002672372

0.003618086

200

0.000075625

0.000298

0.000665875

0.001177

0.001829125

0.00262

0.003547375

                Table 3:

1

2

3

4

5

6

7

t

20

0.0105

0.030375

0.06075

0.099375

0.144

0.192375

0.24225

22

0.008452292

0.025075131

0.050713749

0.083677686

0.122276484

0.164819684

0.209616829

24

0.006944444

0.021050347

0.04296875

0.071397569

0.105034722

0.142578125

0.182725694

26

0.005803368

0.017922167

0.036868457

0.061618116

0.091147019

0.124431042

0.160446063

28

0.004919825

0.015442784

0.031978863

0.05370809

0.079810496

0.109466108

0.141854956

30

0.004222222

0.013444444

0.028

0.047222222

0.070444444

0.097

0.126222222

32

0.003662109

0.011810303

0.024719238

0.0418396

0.06262207

0.086517334

0.112976074

34

0.003205781

0.010456951

0.021982495

0.037324445

0.056024832

0.077625687

0.101669041

36

0.002829218

0.00932356

0.019675926

0.033500514

0.050411523

0.070023148

0.091949588

38

0.002514944

0.008364922

0.017713952

0.030233999

0.045597026

0.063474996

0.083539875

40

0.00225

0.007546875

0.01603125

0.027421875

0.0414375

0.057796875

0.07621875

42

0.002024619

0.006843213

0.014577259

0.024983803

0.03781989

0.052842566

0.069808876

44

0.00183133

0.006233565

0.013312359

0.022856405

0.034654395

0.048495023

0.06416698

46

0.001664338

0.005701899

0.012205145

0.020989151

0.03186899

0.044659735

0.059176461

48

0.001519097

0.00523546

0.011230469

0.019341363

0.029405382

0.041259766

0.054741753

50

0.001392

0.004824

0.010368

0.01788

0.027216

0.038232

0.050784

52

0.001280155

0.004459206

0.009601161

0.016578004

0.025261721

0.035524294

0.047237711

54

0.001181222

0.004134278

0.008916324

0.015413047

0.023510136

0.033093278

0.044048163

56

0.001093294

0.003843613

0.008302205

0.014366573

0.02193422

0.030902651

0.04116937

58

0.001014802

0.003582558

0.007749395

0.01342306

0.020511296

0.02892185

0.038562467

60

0.000944444

0.003347222

0.00725

0.012569444

0.019222222

0.027125

0.036194444

62

0.000881139

0.003134336

0.006797355

0.01179467

0.018050754

0.025490081

0.034037125

64

0.000823975

0.002941132

0.006385803

0.011089325

0.016983032

0.02399826

0.032066345

66

0.000772185

0.002765256

0.006010518

0.010445363

0.016007179

0.022633358

0.030261291

68

0.000725117

0.002604697

0.005667362

0.009855867

0.015112966

0.021381412

0.028603959

70

0.000682216

0.002457726

0.00535277

0.009314869

0.014291545

0.020230321

0.027078717

72

0.000643004

0.002322852

0.005063657

0.008817194

0.013535237

0.01916956

0.025671939

74

0.000607072

0.002198784

0.004797347

0.00835834

0.012837344

0.018189939

0.024371706

76

0.000574063

0.002084396

0.004551502

0.007934375

0.01219201

0.017283405

0.023167554

78

0.000543671

0.001978708

0.004324078

0.00754185

0.011594093

0.016442877

0.022050271

80

0.000515625

0.001880859

0.004113281

0.007177734

0.011039063

0.015662109

0.021011719

82

0.000489691

0.001790093

0.003917529

0.006839352

0.010522918

0.014935578

0.020044689

84

0.000465662

0.001705742

0.003735423

0.006524336

0.010042112

0.014258382

0.019142776

86

0.000443357

0.001627215

0.003565724

0.006230583

0.009593495

0.013626159

0.018300275

88

0.000422615

0.001553989

0.00340733

0.005956224

0.009174258

0.013035018

0.017512091

90

0.000403292

0.001485597

0.003259259

0.005699588

0.008781893

0.012481481

0.016773663

92

0.000385263

0.001421622

0.003120634

0.005459183

0.008414153

0.011962429

0.016080895

94

0.000368415

0.001361692

0.002990667

0.005233667

0.008069021

0.011475059

0.015430107

96

0.000352648

0.001305474

0.002868652

0.005021837

0.007744683

0.011016846

0.01481798

98

0.000337869

0.001252667

0.002753955

0.004822608

0.007439502

0.010585513

0.014241515

100

0.000324

0.001203

0.002646

0.004635

0.007152

0.010179

0.013698

102

0.000310966

0.00115623

0.00254427

0.004458127

0.006880838

0.009795441

0.013184974

104

0.000298703

0.001112134

0.002448296

0.004291185

0.006624801

0.00943314

0.012700202

106

0.00028715

0.001070515

0.002357651

0.004133446

0.006382786

0.009090558

0.012241649

108

0.000276254

0.001031188

0.002271948

0.003984244

0.006153788

0.008766289

0.011807461

110

0.000265965

0.000993989

0.002190834

0.003842975

0.00593689

0.008459053

0.011395943

112

0.000256241

0.000958768

0.002113987

0.003709087

0.005731255

0.008167678

0.011005546

114

0.00024704

0.000925386

0.002041114

0.003582074

0.005536116

0.007891092

0.010634851

116

0.000238325

0.000893717

0.001971944

0.003461473

0.005350773

0.007628311

0.010282556

118

0.000230062

0.000863647

0.001906232

0.003346861

0.00517458

0.007378432

0.009947463

120

0.000222222

0.000835069

0.00184375

0.003237847

0.005006944

0.007140625

0.009628472

122

0.000214776

0.000807887

0.00178429

0.003134073

0.004847322

0.006914125

0.009324569

124

0.000207697

0.000782011

0.001727661

0.003035208

0.00469521

0.006698227

0.009034818

126

0.000200962

0.000757358

0.001673685

0.002940947

0.004550145

0.006492279

0.008758353

128

0.00019455

0.000733852

0.0016222

0.002851009

0.004411697

0.006295681

0.008494377

130

0.000188439

0.000711425

0.001573054

0.002765134

0.004279472

0.006107874

0.008242148

132

0.000182611

0.00069001

0.001526108

0.002683081

0.004153101

0.005928343

0.008000981

134

0.00017705

0.000669547

0.001481233

0.002604626

0.004032245

0.005756609

0.007770238

136

0.000171738

0.000649982

0.001438308

0.002529561

0.003916586

0.005592227

0.007549327

138

0.000166662

0.000631261

0.001397222

0.002457695

0.003805832

0.005434783

0.007337699

140

0.000161808

0.000613338

0.001357872

0.002388848

0.003699708

0.005283892

0.00713484

142

0.000157162

0.000596168

0.001320161

0.002322854

0.003597962

0.005139197

0.006940273

144

0.000152713

0.000579708

0.001283999

0.002259557

0.003500354

0.005000362

0.006753553

148

0.000144365

0.000548771

0.001215994

0.002140483

0.003316684

0.004739046

0.006402015

150

0.000135111

0.000528889

0.001178667

0.002079111

0.003224889

0.004610667

0.006231111

152

0.000131556

0.000515119

0.001148127

0.002025452

0.003141971

0.004492558

0.006072086

154

0.00012814

0.00050188

0.001118758

0.001973844

0.00306221

0.004378928

0.005919068

156

0.000124855

0.000489146

0.001090502

0.001924183

0.002985447

0.004269553

0.005771759

158

0.000121694

0.000476889

0.001063303

0.001876373

0.002911534

0.004164224

0.005629879

160

0.000118652

0.000465088

0.001037109

0.001830322

0.002840332

0.004062744

0.005493164

162

0.000115723

0.000453719

0.001011871

0.001785946

0.002771709

0.003964927

0.005361367

164

0.000112901

0.000442762

0.000987544

0.001743164

0.002705543

0.0038706

0.005234254

166

0.000110181

0.000432198

0.000964083

0.001701901

0.002641718

0.003779598

0.005111606

168

0.000107558

0.000422007

0.000941448

0.001662086

0.002580124

0.003691767

0.004993218

170

0.000105027

0.000412172

0.000919601

0.001623652

0.002520659

0.003606961

0.004878893

172

0.000102585

0.000402677

0.000898506

0.001586535

0.002463227

0.003525043

0.004768448

174

0.000100227

0.000393506

0.000878128

0.001550676

0.002407734

0.003445884

0.00466171

176

9.79497E-05

0.000384645

0.000858436

0.00151602

0.002354095

0.003369361

0.004558515

178

9.57489E-05

0.00037608

0.000839399

0.001482512

0.002302229

0.003295358

0.004458707

180

9.36214E-05

0.000367798

0.000820988

0.001450103

0.002252058

0.003223765

0.00436214

182

9.1564E-05

0.000359787

0.000803176

0.001418745

0.002203508

0.00315448

0.004268675

184

8.95737E-05

0.000352034

0.000785937

0.001388393

0.002156512

0.003087405

0.004178182

186

8.76476E-05

0.00034453

0.000769248

0.001359005

0.002111003

0.003022445

0.004090534

188

8.5783E-05

0.000337263

0.000753085

0.00133054

0.002066919

0.002959514

0.004005615

190

8.39773E-05

0.000330223

0.000737425

0.00130296

0.002024202

0.002898527

0.003923312

192

8.22279E-05

0.000323402

0.000722249

0.001276228

0.001982795

0.002839406

0.003843519

194

8.05327E-05

0.000316789

0.000707537

0.001250311

0.001942645

0.002782075

0.003766135

196

7.88893E-05

0.000310378

0.00069327

0.001225175

0.001903703

0.002726463

0.003691064

198

7.72958E-05

0.000304159

0.00067943

0.00120079

0.00186592

0.002672501

0.003618215

200

0.00007575

0.000298125

0.000666

0.001177125

0.00182925

0.002620125

0.0035475

                Table 4:

1

2

3

4

5

6

7

t

20

0.015125

0.035

0.065375

0.104

0.148625

0.197

0.246875

22

0.011927122

0.028549962

0.05418858

0.087152517

0.125751315

0.168294515

0.21309166

24

0.009620949

0.023726852

0.045645255

0.074074074

0.107711227

0.14525463

0.185402199

26

0.007908512

0.02002731

0.0389736

0.063723259

0.093252162

0.126536186

0.162551206

28

0.006605321

0.01712828

0.033664359

0.055393586

0.081495991

0.111151603

0.143540452

30

0.005592593

0.014814815

0.02937037

0.048592593

0.071814815

0.09837037

0.127592593

32

0.00479126

0.012939453

0.025848389

0.04296875

0.063751221

0.087646484

0.114105225

34

0.004147161

0.011398331

0.022923875

0.038265825

0.056966212

0.078567067

0.102610421

36

0.003622257

0.010116598

0.020468964

0.034293553

0.051204561

0.070816187

0.092742627

38

0.00318924

0.009039219

0.018388249

0.030908296

0.046271322

0.064149293

0.084214171

40

0.002828125

0.008125

0.016609375

0.028

0.042015625

0.058375

0.076796875

42

0.002524025

0.00734262

0.015076666

0.025483209

0.038319296

0.053341972

0.070308282

44

0.002265684

0.006667919

0.013746713

0.023290759

0.035088749

0.048929376

0.064601334

46

0.002044465

0.006082025

0.012585272

0.021369278

0.032249116

0.045039862

0.059556587

48

0.00185366

0.005570023

0.011565032

0.019675926

0.029739945

0.041594329

0.055076317

50

0.001688

0.00512

0.010664

0.018176

0.027512

0.038528

0.05108

52

0.001543298

0.004722349

0.009864304

0.016841147

0.025524863

0.035787437

0.047500853

54

0.001416197

0.004369253

0.009151298

0.015648021

0.02374511

0.033328253

0.044283138

56

0.001303981

0.0040543

0.008512892

0.014577259

0.022144907

0.031113338

0.041380056

58

0.001204436

0.003772192

0.00793903

0.013612694

0.020700931

0.029111485

0.038752101

60

0.001115741

0.003518519

0.007421296

0.012740741

0.019393519

0.027296296

0.036365741

62

0.001036387

0.003289584

0.006952603

0.011949918

0.018206002

0.025645329

0.034192374

64

0.000965118

0.003082275

0.006526947

0.011230469

0.017124176

0.024139404

0.032207489

66

0.000900882

0.002893953

0.006139216

0.01057406

0.016135877

0.022762056

0.030389988

68

0.00084279

0.002722369

0.005785035

0.00997354

0.015230638

0.021499084

0.028721631

70

0.000790087

0.002565598

0.005460641

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0.014399417

0.020338192

0.027186589

72

0.000742134

0.002421982

0.005162787

0.008916324

0.013634366

0.01926869

0.025771069

74

0.000698379

0.002290091

0.004888654

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0.012928652

0.018281247

0.024463013

76

0.00065835

0.002168683

0.004635789

0.008018662

0.012276298

0.017367692

0.023251841

78

0.000621639

0.002056677

0.004402047

0.007619818

0.011672061

0.016520845

0.022128239

80

0.000587891

0.001953125

0.004185547

0.00725

0.011111328

0.015734375

0.021083984

82

0.000556797

0.001857199

0.003984635

0.006906458

0.010590023

0.015002684

0.020111795

84

0.000528088

0.001768168

0.003797849

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0.010104538

0.014320808

0.019205202

86

0.000501528

0.001685386

0.003623895

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0.009651666

0.01368433

0.018358446

88

0.000476909

0.001608283

0.003461624

0.006010518

0.009228552

0.013089313

0.017566386

90

0.000454047

0.001536351

0.003310014

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0.008832647

0.012532236

0.016824417

92

0.000432779

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0.00316815

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0.008461669

0.012009945

0.016128411

94

0.000412962

0.001406239

0.003035214

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0.008113568

0.011519605

0.015474654

96

0.000394468

0.001347295

0.002910473

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0.007786504

0.011058666

0.0148598

98

0.000377181

0.001291979

0.002793266

0.00486192

0.007478814

0.010624825

0.014280827

100

0.000361

0.00124

0.002683

0.004672