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Message Icon Topic: All World’s Lotto 649 Sums Analyzed Post Reply Post New Topic
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Colin F
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Quote Colin F Replybullet Topic: All World’s Lotto 649 Sums Analyzed
    Posted: March 11 2005 at 8:46pm

Total sixes from all the world's 649 Lotto Games is some 17,850 or 0.12% of the potential numbers. The Chart you see here now is the same data as I posted 12th March, 2005 but slightly different in presentation.

Time and again I have come across recommendations to only play Sixes that sum to around 150 with the only supporting evidence being a Bell Curve; you can do a Bell Curve for passing a stool.

There is nothing to get remotely excited over. For the count of the Sum Group from the 13,983,816 Combinations in 6/49 Lotto their occurrence in the World's 17,850 Lotto Draws is proportional and I don't see any that sit up and bark at me.

I have included a little table for the 44 Sum Groupings that did not put in a show and given 17,850 is only .12% (or 0.12765%) of 13,983,816 this is not unexpected.

Trivia: If you add up the expected column it totals 17,850. If you add all the Sum Groupings together it totals 38,850. The total number of Sum Groupings is 259.  

This my friends is the well and truly utter debunking of the Sums Lotto Myth.

Headings Explained

  • Sum: Sum Grouping
  • All: Count of the Sum Grouping in 13,983,816 Combinations from 49 Integers.
  • Expt: Expected using the ratio from above.
  • Wld: Actual count for world's 649 Lotto Games.
  • Diff: Difference between World's 649 Actual and Expected
  • Diff%: Diff as a percentage of Expected - obviously some should be ignored because of the small sample. 

Sum Groups with no appearances for 17,850 Draws - not unexpected.

For those who like to look at Sums by band here is overwhelming proof that which Sum Band you choose is of no statistical significance.

Here is a chart which shows pretty well what is expected is what occurs - in other words that the incidence is proportional to the quantity. There is no advantage in using particular SUMS.
 

Regards
Colin

ps If you're looking for 150 go to 7.55%. Expected 212 - actual 228 - 16 in 17,850 Draws. If you think you can do something with that then Gunga Din's got nothing on you.

 

Lotto Draws have no relationship to one another; the integers serve just as identifiers. Any prediction calculation on one history of draws for a same type game is just as irrelevant as another.
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Colin F
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Quote Colin F Replybullet Posted: January 30 2007 at 6:42pm

Here is the AllWorlds Sums results in table format:

Sum

AllCount

WorldCount

WorldCountExpected

Diff

%All649

%AllWorld

157

162410

242

207

35

0.0012%

0.1356%

152

165490

236

211

25

0.1183%

0.1322%

142

161354

230

206

24

0.1154%

0.1289%

149

165732

229

212

17

0.1185%

0.1283%

150

165772

228

212

16

0.1185%

0.1277%

148

165490

222

211

11

0.1183%

0.1244%

139

157554

222

201

21

0.1127%

0.1244%

151

165732

222

212

10

0.1185%

0.1244%

146

164654

221

210

11

0.1177%

0.1238%

143

162410

216

207

9

0.1161%

0.1210%

140

158923

215

203

12

0.1136%

0.1204%

158

161354

215

206

9

0.1154%

0.1204%

155

164062

214

209

5

0.1173%

0.1199%

145

164062

212

209

3

0.1173%

0.1188%

136

152617

212

195

17

0.1091%

0.1188%

138

156004

206

199

7

0.1116%

0.1154%

141

160236

204

205

1

0.1146%

0.1143%

161

157554

201

201

0

0.1127%

0.1126%

153

165176

200

211

11

0.1181%

0.1120%

162

156004

199

199

0

0.1116%

0.1115%

169

142370

199

182

17

0.1018%

0.1115%

144

163273

197

208

11

0.1168%

0.1104%

172

135109

197

172

25

0.0966%

0.1104%

133

146771

195

187

8

0.1050%

0.1092%

154

164654

194

210

16

0.1177%

0.1087%

163

154397

194

197

3

0.1104%

0.1087%

159

160236

194

205

11

0.1146%

0.1087%

167

146771

190

187

3

0.1050%

0.1064%

160

158923

190

203

13

0.1136%

0.1064%

156

163273

190

208

18

0.1168%

0.1064%

164

152617

189

195

6

0.1091%

0.1059%

165

150794

185

192

7

0.1078%

0.1036%

137

154397

184

197

13

0.1104%

0.1031%

127

132581

183

169

14

0.0948%

0.1025%

147

165176

180

211

31

0.1181%

0.1008%

130

140008

180

179

1

0.1001%

0.1008%

134

148800

179

190

11

0.1064%

0.1003%

166

148800

179

190

11

0.1064%

0.1003%

122

118889

173

152

21

0.0850%

0.0969%

135

150794

172

192

20

0.1078%

0.0964%

132

144587

172

185

13

0.1034%

0.0964%

180

113119

170

144

26

0.0809%

0.0952%

119

110215

169

141

28

0.0788%

0.0947%

126

129930

169

166

3

0.0929%

0.0947%

171

137629

168

176

8

0.0984%

0.0941%

176

124507

168

159

9

0.0890%

0.0941%

173

132581

167

169

2

0.0948%

0.0936%

129

137629

165

176

11

0.0984%

0.0924%

131

142370

165

182

17

0.1018%

0.0924%

168

144587

165

185

20

0.1034%

0.0924%

125

127274

164

162

2

0.0910%

0.0919%

120

113119

162

144

18

0.0809%

0.0908%

128

135109

161

172

11

0.0966%

0.0902%

170

140008

160

179

19

0.1001%

0.0896%

123

121751

157

155

2

0.0871%

0.0880%

177

121751

157

155

2

0.0871%

0.0880%

175

127274

154

162

8

0.0910%

0.0863%

174

129930

153

166

13

0.0929%

0.0857%

179

116048

148

148

0

0.0830%

0.0829%

121

116048

147

148

1

0.0830%

0.0824%

182

107235

145

137

8

0.0767%

0.0812%

178

118889

144

152

8

0.0850%

0.0807%

124

124507

142

159

17

0.0890%

0.0796%

118

107235

141

137

4

0.0767%

0.0790%

181

110215

138

141

3

0.0788%

0.0773%

183

104295

135

133

2

0.0746%

0.0756%

116

101285

131

129

2

0.0724%

0.0734%

188

89348

129

114

15

0.0639%

0.0723%

115

98324

128

126

2

0.0703%

0.0717%

114

95311

127

122

5

0.0682%

0.0711%

117

104295

127

133

6

0.0746%

0.0711%

187

92350

125

118

7

0.0660%

0.0700%

189

86412

122

110

12

0.0618%

0.0683%

184

101285

119

129

10

0.0724%

0.0667%

113

92350

119

118

1

0.0660%

0.0667%

186

95311

119

122

3

0.0682%

0.0667%

193

74781

117

95

22

0.0535%

0.0655%

185

98324

109

126

17

0.0703%

0.0611%

197

63706

103

81

22

0.0456%

0.0577%

190

83440

103

107

4

0.0597%

0.0577%

109

80542

100

103

3

0.0576%

0.0560%

112

89348

100

114

14

0.0639%

0.0560%

192

77624

99

99

0

0.0555%

0.0555%

111

86412

96

110

14

0.0618%

0.0538%

110

83440

96

107

11

0.0597%

0.0538%

106

71928

95

92

3

0.0514%

0.0532%

194

71928

94

92

2

0.0514%

0.0527%

107

74781

91

95

4

0.0535%

0.0510%

191

80542

90

103

13

0.0576%

0.0504%

105

69161

88

88

0

0.0495%

0.0493%

104

66388

88

85

3

0.0475%

0.0493%

108

77624

85

99

14

0.0555%

0.0476%

98

50944

80

65

15

0.0364%

0.0448%

100

55875

80

71

9

0.0400%

0.0448%

195

69161

78

88

10

0.0495%

0.0437%

202

50944

78

65

13

0.0364%

0.0437%

196

66388

76

85

9

0.0475%

0.0426%

103

63706

75

81

6

0.0456%

0.0420%

198

61031

74

78

4

0.0436%

0.0415%

99

53402

73

68

5

0.0382%

0.0409%

102

61031

73

78

5

0.0436%

0.0409%

200

55875

71

71

0

0.0400%

0.0398%

101

58446

67

75

8

0.0418%

0.0375%

95

44016

64

56

8

0.0315%

0.0359%

96

46253

64

59

5

0.0331%

0.0359%

199

58446

64

75

11

0.0418%

0.0359%

204

46253

64

59

5

0.0331%

0.0359%

205

44016

63

56

7

0.0315%

0.0353%

203

48586

63

62

1

0.0347%

0.0353%

206

41809

61

53

8

0.0299%

0.0342%

201

53402

59

68

9

0.0382%

0.0331%

97

48586

53

62

9

0.0347%

0.0297%

93

39703

52

51

1

0.0284%

0.0291%

91

35648

52

46

6

0.0255%

0.0291%

210

33706

48

43

5

0.0241%

0.0269%

209

35648

47

46

1

0.0255%

0.0263%

94

41809

46

53

7

0.0299%

0.0258%

211

31860

46

41

5

0.0228%

0.0258%

90

33706

43

43

0

0.0241%

0.0241%

92

37625

42

48

6

0.0269%

0.0235%

212

30051

40

38

2

0.0215%

0.0224%

88

30051

38

38

0

0.0215%

0.0213%

213

28340

37

36

1

0.0203%

0.0207%

207

39703

36

51

15

0.0284%

0.0202%

89

31860

35

41

6

0.0228%

0.0196%

208

37625

35

48

13

0.0269%

0.0196%

218

20673

31

26

5

0.0148%

0.0174%

215

25082

30

32

2

0.0179%

0.0168%

216

23540

30

30

0

0.0168%

0.0168%

217

22087

29

28

1

0.0158%

0.0162%

214

26663

28

34

6

0.0191%

0.0157%

85

25082

27

32

5

0.0179%

0.0151%

87

28340

26

36

10

0.0203%

0.0146%

78

15690

26

20

6

0.0112%

0.0146%

83

22087

26

28

2

0.0158%

0.0146%

219

19349

26

25

1

0.0138%

0.0146%

79

16856

26

22

4

0.0121%

0.0146%

86

26663

24

34

10

0.0191%

0.0134%

220

18059

24

23

1

0.0129%

0.0134%

82

20673

21

26

5

0.0148%

0.0118%

80

18059

20

23

3

0.0129%

0.0112%

81

19349

20

25

5

0.0138%

0.0112%

226

11637

20

15

5

0.0083%

0.0112%

228

9933

19

13

6

0.0071%

0.0106%

223

14603

19

19

0

0.0104%

0.0106%

222

15690

19

20

1

0.0112%

0.0106%

221

16856

19

22

3

0.0121%

0.0106%

84

23540

18

30

12

0.0168%

0.0101%

224

13552

18

17

1

0.0097%

0.0101%

72

9933

18

13

5

0.0071%

0.0101%

74

11637

16

15

1

0.0083%

0.0090%

70

8423

14

11

3

0.0060%

0.0078%

77

14603

13

19

6

0.0104%

0.0073%

232

7097

13

9

4

0.0051%

0.0073%

227

10769

13

14

1

0.0077%

0.0073%

225

12579

13

16

3

0.0090%

0.0073%

68

7097

13

9

4

0.0051%

0.0073%

76

13552

12

17

5

0.0097%

0.0067%

67

6506

10

8

2

0.0047%

0.0056%

234

5940

10

8

2

0.0042%

0.0056%

235

5426

10

7

3

0.0039%

0.0056%

73

10769

9

14

5

0.0077%

0.0050%

231

7748

9

10

1

0.0055%

0.0050%

66

5940

9

8

1

0.0042%

0.0050%

236

4935

8

6

2

0.0035%

0.0045%

239

3692

8

5

3

0.0026%

0.0045%

71

9163

8

12

4

0.0066%

0.0045%

243

2432

7

3

4

0.0017%

0.0039%

65

5426

7

7

0

0.0039%

0.0039%

241

3009

7

4

3

0.0022%

0.0039%

230

8423

7

11

4

0.0060%

0.0039%

64

4935

6

6

0

0.0035%

0.0034%

75

12579

6

16

10

0.0090%

0.0034%

61

3692

6

5

1

0.0026%

0.0034%

229

9163

6

12

6

0.0066%

0.0034%

69

7748

6

10

4

0.0055%

0.0034%

238

4070

6

5

1

0.0029%

0.0034%

62

4070

5

5

0

0.0029%

0.0028%

233

6506

5

8

3

0.0047%

0.0028%

53

1540

5

2

3

0.0011%

0.0028%

242

2702

4

3

1

0.0019%

0.0022%

240

3331

4

4

0

0.0024%

0.0022%

58

2702

4

3

1

0.0019%

0.0022%

237

4494

4

6

2

0.0032%

0.0022%

56

2172

4

3

1

0.0016%

0.0022%

59

3009

4

4

0

0.0022%

0.0022%

63

4494

3

6

3

0.0032%

0.0017%

54

1729

3

2

1

0.0012%

0.0017%

55

1945

2

2

0

0.0014%

0.0011%

50

1057

2

1

1

0.0008%

0.0011%

44

454

2

1

1

0.0003%

0.0011%

51

1206

2

2

0

0.0009%

0.0011%

251

931

2

1

1

0.0007%

0.0011%

247

1540

2

2

0

0.0011%

0.0011%

245

1945

2

2

0

0.0014%

0.0011%

244

2172

2

3

1

0.0016%

0.0011%

255

532

2

1

1

0.0004%

0.0011%

253

709

1

1

0

0.0005%

0.0006%

42

331

1

0

1

0.0002%

0.0006%

43

391

1

0

1

0.0003%

0.0006%

45

532

1

1

0

0.0004%

0.0006%

46

612

1

1

0

0.0004%

0.0006%

47

709

1

1

0

0.0005%

0.0006%

49

931

1

1

0

0.0007%

0.0006%

256

454

1

1

0

0.0003%

0.0006%

263

136

1

0

1

0.0001%

0.0006%

252

811

1

1

0

0.0006%

0.0006%

39

199

1

0

1

0.0001%

0.0006%

248

1360

1

2

1

0.0010%

0.0006%

250

1057

1

1

0

0.0008%

0.0006%

57

2432

1

3

2

0.0017%

0.0006%

249

1206

1

2

1

0.0009%

0.0006%

262

163

1

0

1

0.0001%

0.0006%

60

3331

1

4

3

0.0024%

0.0006%

259

282

1

0

1

0.0002%

0.0006%

Regards
Colin

Lotto Draws have no relationship to one another; the integers serve just as identifiers. Any prediction calculation on one history of draws for a same type game is just as irrelevant as another.
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Colin F
Lotto Systems Tester Creator & Analyst
Lotto Systems Tester Creator & Analyst
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To dream the impossible dream ...

Joined: September 30 2004
Location: Australia
Online Status: Offline
Posts: 678
Quote Colin F Replybullet Posted: January 30 2007 at 7:39pm
Here is a chart which shows pretty well what is expected is what occurs - in other words that the incidence is proportional to the quantity. There is no advantage in using particular SUMS.
 
 
Regards
Colin
Lotto Draws have no relationship to one another; the integers serve just as identifiers. Any prediction calculation on one history of draws for a same type game is just as irrelevant as another.
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