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UK Lotto Bell Curve Statistics

This page displays a Bell Curve, also known as a Normal Distribution or Gaussian Distribution, for UK Lotto. It shows how frequently the winning numbers add up to a certain sum.

The grey curve on the graph is the expected Bell Curve, which displays how often each sum should have appeared in all draws to date. For example, if there is a 1 in 100 probability that the winning numbers will add up to a certain sum in any given draw, that sum would be expected to appear 10 times over 1,000 draws. The expected Bell Curve is symmetrical and has one mode, which coincides with the mean and the median.

This is overlaid with the actual number of times each sum has appeared in all draws to date (the blue bars). This will match the expected Bell Curve more closely as more draws take place. The curve for draws with a limited history may look more erratic.

Main Numbers:

The data is further laid out in the table below. It shows, for each of the sum totals, how many possible number combinations there are, the expected number of times that each sum should have appeared in all draws to date, and the count of how many times it has actually appeared. The final column shows if a particular sum is overdue. A sum is regarded as overdue if it hasn't appeared for twice the number of draws it is expected to. For example, if there is a 1 in 100 probability of a particular sum appearing, it will be labelled overdue if it hasn't appeared for 201 draws or more.

Some lotteries have undergone rule changes in the past that have affected how many main numbers are drawn. To remain consistent, data is taken only from draws that used the same matrix that is currently in use. This can mean that the statistics for some games are limited.

Bonus Ball data is not included in these statistics as only one number is drawn.

Number Sum Total Possible Combinations Expectation Actual Over 594 Draws
Count Frequency Count Last Drawn Draws Ago
21 1 0.000 1 in 45,057,474 0 Never Never
22 1 0.000 1 in 45,057,474 0 Never Never
23 2 0.000 1 in 22,528,737 0 Never Never
24 3 0.000 1 in 15,019,158 0 Never Never
25 5 0.000 1 in 9,011,494 0 Never Never
26 7 0.000 1 in 6,436,782 0 Never Never
27 11 0.000 1 in 4,096,134 0 Never Never
28 14 0.000 1 in 3,218,391 0 Never Never
29 20 0.000 1 in 2,252,873 0 Never Never
30 26 0.000 1 in 1,732,979 0 Never Never
31 35 0.000 1 in 1,287,356 0 Never Never
32 44 0.001 1 in 1,024,033 0 Never Never
33 58 0.001 1 in 776,853 0 Never Never
34 71 0.001 1 in 634,612 0 Never Never
35 90 0.001 1 in 500,638 0 Never Never
36 110 0.001 1 in 409,613 0 Never Never
37 136 0.002 1 in 331,304 0 Never Never
38 163 0.002 1 in 276,426 0 Never Never
39 199 0.003 1 in 226,419 0 Never Never
40 235 0.003 1 in 191,733 0 Never Never
41 282 0.004 1 in 159,778 0 Never Never
42 331 0.004 1 in 136,125 0 Never Never
43 391 0.005 1 in 115,236 0 Never Never
44 454 0.006 1 in 99,245 0 Never Never
45 532 0.007 1 in 84,694 0 Never Never
46 612 0.008 1 in 73,623 0 Never Never
47 709 0.009 1 in 63,550 0 Never Never
48 811 0.011 1 in 55,557 0 Never Never
49 931 0.012 1 in 48,396 0 Never Never
50 1,057 0.014 1 in 42,627 0 Never Never
51 1,206 0.016 1 in 37,361 1 04/05/2016 534
52 1,360 0.018 1 in 33,130 0 Never Never
53 1,540 0.020 1 in 29,258 0 Never Never
54 1,729 0.023 1 in 26,059 0 Never Never
55 1,945 0.026 1 in 23,165 0 Never Never
56 2,172 0.029 1 in 20,744 0 Never Never
57 2,432 0.032 1 in 18,526 0 Never Never
58 2,702 0.036 1 in 16,675 0 Never Never
59 3,009 0.040 1 in 14,974 0 Never Never
60 3,331 0.044 1 in 13,526 0 Never Never
61 3,692 0.049 1 in 12,204 0 Never Never
62 4,070 0.054 1 in 11,070 0 Never Never
63 4,494 0.059 1 in 10,026 0 Never Never
64 4,935 0.065 1 in 9,130 0 Never Never
65 5,427 0.072 1 in 8,302 0 Never Never
66 5,942 0.078 1 in 7,582 1 03/06/2020 108
67 6,510 0.086 1 in 6,921 0 Never Never
68 7,104 0.094 1 in 6,342 0 Never Never
69 7,760 0.102 1 in 5,806 0 Never Never
70 8,442 0.111 1 in 5,337 1 20/04/2016 538
71 9,192 0.121 1 in 4,901 0 Never Never
72 9,975 0.132 1 in 4,517 0 Never Never
73 10,829 0.143 1 in 4,160 0 Never Never
74 11,720 0.155 1 in 3,844 0 Never Never
75 12,691 0.167 1 in 3,550 0 Never Never
76 13,700 0.181 1 in 3,288 0 Never Never
77 14,796 0.195 1 in 3,045 0 Never Never
78 15,937 0.210 1 in 2,827 1 21/06/2017 416
79 17,168 0.226 1 in 2,624 0 Never Never
80 18,448 0.243 1 in 2,442 0 Never Never
81 19,829 0.261 1 in 2,272 0 Never Never
82 21,259 0.280 1 in 2,119 0 Never Never
83 22,796 0.301 1 in 1,976 0 Never Never
84 24,390 0.322 1 in 1,847 0 Never Never
85 26,094 0.344 1 in 1,726 0 Never Never
86 27,859 0.367 1 in 1,617 0 Never Never
87 29,744 0.392 1 in 1,514 0 Never Never
88 31,689 0.418 1 in 1,421 1 11/08/2018 297
89 33,761 0.445 1 in 1,334 2 17/11/2018 269
90 35,900 0.473 1 in 1,255 0 Never Never
91 38,168 0.503 1 in 1,180 1 10/08/2019 193
92 40,506 0.534 1 in 1,112 0 Never Never
93 42,983 0.567 1 in 1,048 0 Never Never
94 45,528 0.600 1 in 989 0 Never Never
95 48,217 0.636 1 in 934 2 24/02/2021 32
96 50,981 0.672 1 in 883 0 Never Never
97 53,890 0.710 1 in 836 1 13/01/2021 44
98 56,875 0.750 1 in 792 0 Never Never
99 60,014 0.791 1 in 750 1 19/07/2017 408
100 63,225 0.834 1 in 712 1 09/12/2020 54
101 66,595 0.878 1 in 676 1 19/11/2016 477
102 70,042 0.923 1 in 643 0 Never Never
103 73,646 0.971 1 in 611 1 05/10/2019 177
104 77,327 1.019 1 in 582 3 10/03/2021 28
105 81,173 1.070 1 in 555 0 Never Never
106 85,090 1.122 1 in 529 1 22/03/2017 442
107 89,174 1.176 1 in 505 1 15/04/2017 435
108 93,332 1.230 1 in 482 2 21/04/2018 329
109 97,654 1.287 1 in 461 0 Never Never
110 102,047 1.345 1 in 441 2 20/01/2021 42
111 106,610 1.405 1 in 422 0 Never Never
112 111,235 1.466 1 in 405 0 Never Never
113 116,030 1.530 1 in 388 1 06/06/2020 107
114 120,888 1.594 1 in 372 4 01/12/2018 265
115 125,909 1.660 1 in 357 1 13/03/2021 27
116 130,988 1.727 1 in 343 6 03/10/2020 73
117 136,234 1.796 1 in 330 0 Never Never
118 141,525 1.866 1 in 318 2 13/11/2019 166
119 146,980 1.938 1 in 306 2 18/03/2020 130
120 152,478 2.010 1 in 295 0 Never Never
121 158,131 2.085 1 in 284 4 15/08/2020 87
122 163,818 2.160 1 in 275 2 25/07/2020 93
123 169,660 2.237 1 in 265 4 27/03/2021 23
124 175,520 2.314 1 in 256 0 Never Never
125 181,529 2.393 1 in 248 5 22/07/2020 94
126 187,551 2.473 1 in 240 0 Never Never
127 193,708 2.554 1 in 232 1 04/12/2019 160
128 199,865 2.635 1 in 225 3 13/04/2019 227
129 206,155 2.718 1 in 218 2 21/04/2021 16
130 212,425 2.800 1 in 212 2 03/03/2021 30
131 218,818 2.885 1 in 205 4 20/04/2019 225
132 225,183 2.969 1 in 200 2 04/04/2018 334
133 231,654 3.054 1 in 194 4 26/08/2020 84
134 238,082 3.139 1 in 189 5 17/04/2021 17
135 244,610 3.225 1 in 184 2 22/11/2017 372 Overdue
136 251,073 3.310 1 in 179 3 28/09/2019 179
137 257,624 3.396 1 in 174 2 17/10/2018 278
138 264,100 3.482 1 in 170 1 01/04/2020 126
139 270,644 3.568 1 in 166 3 22/09/2018 285
140 277,096 3.653 1 in 162 5 11/07/2020 97
141 283,610 3.739 1 in 158 2 16/01/2016 565 Overdue
142 290,008 3.823 1 in 155 4 12/02/2020 140
143 296,453 3.908 1 in 151 3 16/10/2019 174
144 302,772 3.991 1 in 148 4 01/07/2020 100
145 309,117 4.075 1 in 145 2 24/03/2021 24
146 315,319 4.157 1 in 142 4 23/05/2018 320 Overdue
147 321,539 4.239 1 in 140 3 06/04/2019 229
148 327,591 4.319 1 in 137 5 13/06/2020 105
149 333,647 4.399 1 in 135 7 21/10/2020 68
150 339,525 4.476 1 in 132 3 04/03/2020 134
151 345,385 4.553 1 in 130 2 12/06/2021 1
152 351,050 4.628 1 in 128 5 18/07/2020 95
153 356,690 4.702 1 in 126 2 20/02/2021 33
154 362,111 4.774 1 in 124 5 01/05/2021 13
155 367,492 4.845 1 in 122 5 03/04/2021 21
156 372,646 4.913 1 in 120 9 09/01/2021 45
157 377,739 4.980 1 in 119 3 25/09/2019 180
158 382,589 5.044 1 in 117 3 06/11/2019 168
159 387,372 5.107 1 in 116 4 08/05/2021 11
160 391,889 5.166 1 in 114 7 12/08/2020 88
161 396,327 5.225 1 in 113 0 Never Never
162 400,493 5.280 1 in 112 5 22/01/2020 146
163 404,559 5.333 1 in 111 8 05/09/2020 81
164 408,340 5.383 1 in 110 3 29/05/2021 5
165 412,018 5.432 1 in 109 6 31/10/2020 65
166 415,391 5.476 1 in 108 5 01/05/2019 222 Overdue
167 418,650 5.519 1 in 107 2 11/11/2017 375 Overdue
168 421,601 5.558 1 in 106 7 25/04/2018 328 Overdue
169 424,421 5.595 1 in 106 3 24/04/2021 15
170 426,923 5.628 1 in 105 2 17/08/2019 191
171 429,294 5.659 1 in 104 4 17/03/2021 26
172 431,330 5.686 1 in 104 5 20/03/2021 25
173 433,228 5.711 1 in 104 1 27/04/2019 223 Overdue
174 434,793 5.732 1 in 103 5 09/06/2021 2
175 436,205 5.751 1 in 103 6 04/11/2020 64
176 437,279 5.765 1 in 103 8 14/10/2020 70
177 438,205 5.777 1 in 102 10 16/12/2020 52
178 438,780 5.785 1 in 102 4 02/06/2021 4
179 439,204 5.790 1 in 102 4 22/02/2020 137
180 439,284 5.791 1 in 102 5 15/05/2021 9
181 439,204 5.790 1 in 102 8 30/11/2019 161
182 438,780 5.785 1 in 102 8 22/08/2020 85
183 438,205 5.777 1 in 102 5 25/12/2019 154
184 437,279 5.765 1 in 103 7 05/06/2021 3
185 436,205 5.751 1 in 103 5 08/07/2020 98
186 434,793 5.732 1 in 103 9 31/03/2021 22
187 433,228 5.711 1 in 104 5 04/04/2020 125
188 431,330 5.686 1 in 104 7 02/12/2020 56
189 429,294 5.659 1 in 104 6 16/05/2020 113
190 426,923 5.628 1 in 105 5 02/05/2020 117
191 424,421 5.595 1 in 106 7 25/11/2020 58
192 421,601 5.558 1 in 106 2 15/12/2018 261 Overdue
193 418,650 5.519 1 in 107 7 16/06/2021 0
194 415,391 5.476 1 in 108 7 18/11/2020 60
195 412,018 5.432 1 in 109 7 14/04/2021 18
196 408,340 5.383 1 in 110 3 28/04/2021 14
197 404,559 5.333 1 in 111 5 13/07/2019 201
198 400,493 5.280 1 in 112 6 12/10/2019 175
199 396,327 5.225 1 in 113 3 15/07/2020 96
200 391,889 5.166 1 in 114 8 28/10/2020 66
201 387,372 5.107 1 in 116 1 24/06/2020 102
202 382,589 5.044 1 in 117 7 16/01/2021 43
203 377,739 4.980 1 in 119 5 06/01/2021 46
204 372,646 4.913 1 in 120 8 13/02/2021 35
205 367,492 4.845 1 in 122 1 30/01/2021 39
206 362,111 4.774 1 in 124 7 27/02/2021 31
207 356,690 4.702 1 in 126 5 22/05/2021 7
208 351,050 4.628 1 in 128 7 11/04/2020 123
209 345,385 4.553 1 in 130 7 25/03/2020 128
210 339,525 4.476 1 in 132 5 09/12/2017 367 Overdue
211 333,647 4.399 1 in 135 7 30/09/2020 74
212 327,591 4.319 1 in 137 5 12/12/2018 262
213 321,539 4.239 1 in 140 5 21/08/2019 190
214 315,319 4.157 1 in 142 5 18/12/2019 156
215 309,117 4.075 1 in 145 7 19/09/2020 77
216 302,772 3.991 1 in 148 5 27/01/2021 40
217 296,453 3.908 1 in 151 4 06/03/2021 29
218 290,008 3.823 1 in 155 10 10/04/2021 19
219 283,610 3.739 1 in 158 5 28/11/2020 57
220 277,096 3.653 1 in 162 2 05/05/2021 12
221 270,644 3.568 1 in 166 3 24/04/2019 224
222 264,100 3.482 1 in 170 3 09/03/2019 237
223 257,624 3.396 1 in 174 5 05/08/2020 90
224 251,073 3.310 1 in 179 2 06/02/2021 37
225 244,610 3.225 1 in 184 0 Never Never
226 238,082 3.139 1 in 189 2 02/06/2018 317
227 231,654 3.054 1 in 194 1 29/08/2018 292
228 225,183 2.969 1 in 200 0 Never Never
229 218,818 2.885 1 in 205 3 25/01/2020 145
230 212,425 2.800 1 in 212 3 16/12/2017 365
231 206,155 2.718 1 in 218 1 21/11/2018 268
232 199,865 2.635 1 in 225 2 06/05/2020 116
233 193,708 2.554 1 in 232 3 07/10/2020 72
234 187,551 2.473 1 in 240 1 04/06/2016 525 Overdue
235 181,529 2.393 1 in 248 2 23/12/2017 363
236 175,520 2.314 1 in 256 3 23/05/2020 111
237 169,660 2.237 1 in 265 3 17/10/2020 69
238 163,818 2.160 1 in 275 3 02/09/2020 82
239 158,131 2.085 1 in 284 2 07/11/2020 63
240 152,478 2.010 1 in 295 2 28/08/2019 188
241 146,980 1.938 1 in 306 2 08/02/2020 141
242 141,525 1.866 1 in 318 2 26/05/2021 6
243 136,234 1.796 1 in 330 0 Never Never
244 130,988 1.727 1 in 343 0 Never Never
245 125,909 1.660 1 in 357 1 11/04/2018 332
246 120,888 1.594 1 in 372 5 11/11/2020 62
247 116,030 1.530 1 in 388 0 Never Never
248 111,235 1.466 1 in 405 3 12/12/2020 53
249 106,610 1.405 1 in 422 2 29/09/2018 283
250 102,047 1.345 1 in 441 1 28/10/2015 588
251 97,654 1.287 1 in 461 3 14/11/2020 61
252 93,332 1.230 1 in 482 1 21/11/2020 59
253 89,174 1.176 1 in 505 1 18/07/2018 304
254 85,090 1.122 1 in 529 2 15/04/2020 122
255 81,173 1.070 1 in 555 1 27/01/2018 353
256 77,327 1.019 1 in 582 4 07/04/2021 20
257 73,646 0.971 1 in 611 1 01/02/2020 143
258 70,042 0.923 1 in 643 1 08/08/2020 89
259 66,595 0.878 1 in 676 2 10/06/2020 106
260 63,225 0.834 1 in 712 1 05/12/2020 55
261 60,014 0.791 1 in 750 1 06/07/2019 203
262 56,875 0.750 1 in 792 1 31/10/2015 587
263 53,890 0.710 1 in 836 0 Never Never
264 50,981 0.672 1 in 883 2 11/01/2020 149
265 48,217 0.636 1 in 934 1 26/01/2019 249
266 45,528 0.600 1 in 989 4 26/12/2020 49
267 42,983 0.567 1 in 1,048 1 23/12/2020 50
268 40,506 0.534 1 in 1,112 0 Never Never
269 38,168 0.503 1 in 1,180 2 11/10/2017 384
270 35,900 0.473 1 in 1,255 0 Never Never
271 33,761 0.445 1 in 1,334 0 Never Never
272 31,689 0.418 1 in 1,421 3 19/05/2021 8
273 29,744 0.392 1 in 1,514 0 Never Never
274 27,859 0.367 1 in 1,617 0 Never Never
275 26,094 0.344 1 in 1,726 1 24/10/2015 589
276 24,390 0.322 1 in 1,847 1 27/12/2017 362
277 22,796 0.301 1 in 1,976 0 Never Never
278 21,259 0.280 1 in 2,119 1 15/09/2018 287
279 19,829 0.261 1 in 2,272 0 Never Never
280 18,448 0.243 1 in 2,442 0 Never Never
281 17,168 0.226 1 in 2,624 0 Never Never
282 15,937 0.210 1 in 2,827 0 Never Never
283 14,796 0.195 1 in 3,045 0 Never Never
284 13,700 0.181 1 in 3,288 0 Never Never
285 12,691 0.167 1 in 3,550 0 Never Never
286 11,720 0.155 1 in 3,844 0 Never Never
287 10,829 0.143 1 in 4,160 0 Never Never
288 9,975 0.132 1 in 4,517 0 Never Never
289 9,192 0.121 1 in 4,901 0 Never Never
290 8,442 0.111 1 in 5,337 0 Never Never
291 7,760 0.102 1 in 5,806 0 Never Never
292 7,104 0.094 1 in 6,342 0 Never Never
293 6,510 0.086 1 in 6,921 0 Never Never
294 5,942 0.078 1 in 7,582 0 Never Never
295 5,427 0.072 1 in 8,302 0 Never Never
296 4,935 0.065 1 in 9,130 1 30/08/2017 396
297 4,494 0.059 1 in 10,026 0 Never Never
298 4,070 0.054 1 in 11,070 0 Never Never
299 3,692 0.049 1 in 12,204 0 Never Never
300 3,331 0.044 1 in 13,526 0 Never Never
301 3,009 0.040 1 in 14,974 0 Never Never
302 2,702 0.036 1 in 16,675 0 Never Never
303 2,432 0.032 1 in 18,526 0 Never Never
304 2,172 0.029 1 in 20,744 1 25/03/2017 441
305 1,945 0.026 1 in 23,165 0 Never Never
306 1,729 0.023 1 in 26,059 0 Never Never
307 1,540 0.020 1 in 29,258 0 Never Never
308 1,360 0.018 1 in 33,130 0 Never Never
309 1,206 0.016 1 in 37,361 0 Never Never
310 1,057 0.014 1 in 42,627 0 Never Never
311 931 0.012 1 in 48,396 0 Never Never
312 811 0.011 1 in 55,557 0 Never Never
313 709 0.009 1 in 63,550 0 Never Never
314 612 0.008 1 in 73,623 0 Never Never
315 532 0.007 1 in 84,694 0 Never Never
316 454 0.006 1 in 99,245 0 Never Never
317 391 0.005 1 in 115,236 0 Never Never
318 331 0.004 1 in 136,125 0 Never Never
319 282 0.004 1 in 159,778 0 Never Never
320 235 0.003 1 in 191,733 0 Never Never
321 199 0.003 1 in 226,419 0 Never Never
322 163 0.002 1 in 276,426 0 Never Never
323 136 0.002 1 in 331,304 0 Never Never
324 110 0.001 1 in 409,613 0 Never Never
325 90 0.001 1 in 500,638 0 Never Never
326 71 0.001 1 in 634,612 0 Never Never
327 58 0.001 1 in 776,853 0 Never Never
328 44 0.001 1 in 1,024,033 0 Never Never
329 35 0.000 1 in 1,287,356 0 Never Never
330 26 0.000 1 in 1,732,979 0 Never Never
331 20 0.000 1 in 2,252,873 0 Never Never
332 14 0.000 1 in 3,218,391 0 Never Never
333 11 0.000 1 in 4,096,134 0 Never Never
334 7 0.000 1 in 6,436,782 0 Never Never
335 5 0.000 1 in 9,011,494 0 Never Never
336 3 0.000 1 in 15,019,158 0 Never Never
337 2 0.000 1 in 22,528,737 0 Never Never
338 1 0.000 1 in 45,057,474 0 Never Never
339 1 0.000 1 in 45,057,474 0 Never Never


Page Last Updated: Wednesday, 16th June 2021 8:54 pm

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