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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 622 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 0.002 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 0.005 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 0.010 1 in 63,550 0 Never Never
48 811 0.011 1 in 55,557 0 Never Never
49 931 0.013 1 in 48,396 0 Never Never
50 1,057 0.015 1 in 42,627 0 Never Never
51 1,206 0.017 1 in 37,361 1 04/05/2016 562
52 1,360 0.019 1 in 33,130 0 Never Never
53 1,540 0.021 1 in 29,258 0 Never Never
54 1,729 0.024 1 in 26,059 0 Never Never
55 1,945 0.027 1 in 23,165 0 Never Never
56 2,172 0.030 1 in 20,744 0 Never Never
57 2,432 0.034 1 in 18,526 0 Never Never
58 2,702 0.037 1 in 16,675 0 Never Never
59 3,009 0.042 1 in 14,974 0 Never Never
60 3,331 0.046 1 in 13,526 0 Never Never
61 3,692 0.051 1 in 12,204 0 Never Never
62 4,070 0.056 1 in 11,070 0 Never Never
63 4,494 0.062 1 in 10,026 0 Never Never
64 4,935 0.068 1 in 9,130 0 Never Never
65 5,427 0.075 1 in 8,302 0 Never Never
66 5,942 0.082 1 in 7,582 1 03/06/2020 136
67 6,510 0.090 1 in 6,921 0 Never Never
68 7,104 0.098 1 in 6,342 0 Never Never
69 7,760 0.107 1 in 5,806 0 Never Never
70 8,442 0.117 1 in 5,337 1 20/04/2016 566
71 9,192 0.127 1 in 4,901 0 Never Never
72 9,975 0.138 1 in 4,517 0 Never Never
73 10,829 0.149 1 in 4,160 0 Never Never
74 11,720 0.162 1 in 3,844 0 Never Never
75 12,691 0.175 1 in 3,550 0 Never Never
76 13,700 0.189 1 in 3,288 0 Never Never
77 14,796 0.204 1 in 3,045 0 Never Never
78 15,937 0.220 1 in 2,827 1 21/06/2017 444
79 17,168 0.237 1 in 2,624 0 Never Never
80 18,448 0.255 1 in 2,442 0 Never Never
81 19,829 0.274 1 in 2,272 0 Never Never
82 21,259 0.293 1 in 2,119 0 Never Never
83 22,796 0.315 1 in 1,976 0 Never Never
84 24,390 0.337 1 in 1,847 0 Never Never
85 26,094 0.360 1 in 1,726 0 Never Never
86 27,859 0.385 1 in 1,617 0 Never Never
87 29,744 0.411 1 in 1,514 0 Never Never
88 31,689 0.437 1 in 1,421 1 11/08/2018 325
89 33,761 0.466 1 in 1,334 2 17/11/2018 297
90 35,900 0.496 1 in 1,255 0 Never Never
91 38,168 0.527 1 in 1,180 1 10/08/2019 221
92 40,506 0.559 1 in 1,112 0 Never Never
93 42,983 0.593 1 in 1,048 0 Never Never
94 45,528 0.628 1 in 989 0 Never Never
95 48,217 0.666 1 in 934 2 24/02/2021 60
96 50,981 0.704 1 in 883 0 Never Never
97 53,890 0.744 1 in 836 1 13/01/2021 72
98 56,875 0.785 1 in 792 0 Never Never
99 60,014 0.828 1 in 750 1 19/07/2017 436
100 63,225 0.873 1 in 712 1 09/12/2020 82
101 66,595 0.919 1 in 676 1 19/11/2016 505
102 70,042 0.967 1 in 643 0 Never Never
103 73,646 1.017 1 in 611 1 05/10/2019 205
104 77,327 1.067 1 in 582 3 10/03/2021 56
105 81,173 1.121 1 in 555 0 Never Never
106 85,090 1.175 1 in 529 1 22/03/2017 470
107 89,174 1.231 1 in 505 1 15/04/2017 463
108 93,332 1.288 1 in 482 2 21/04/2018 357
109 97,654 1.348 1 in 461 0 Never Never
110 102,047 1.409 1 in 441 2 20/01/2021 70
111 106,610 1.472 1 in 422 0 Never Never
112 111,235 1.536 1 in 405 0 Never Never
113 116,030 1.602 1 in 388 1 06/06/2020 135
114 120,888 1.669 1 in 372 4 01/12/2018 293
115 125,909 1.738 1 in 357 1 13/03/2021 55
116 130,988 1.808 1 in 343 6 03/10/2020 101
117 136,234 1.881 1 in 330 0 Never Never
118 141,525 1.954 1 in 318 2 13/11/2019 194
119 146,980 2.029 1 in 306 3 14/08/2021 11
120 152,478 2.105 1 in 295 0 Never Never
121 158,131 2.183 1 in 284 4 15/08/2020 115
122 163,818 2.261 1 in 275 2 25/07/2020 121
123 169,660 2.342 1 in 265 4 27/03/2021 51
124 175,520 2.423 1 in 256 1 07/07/2021 22
125 181,529 2.506 1 in 248 5 22/07/2020 122
126 187,551 2.589 1 in 240 0 Never Never
127 193,708 2.674 1 in 232 1 04/12/2019 188
128 199,865 2.759 1 in 225 4 08/09/2021 4
129 206,155 2.846 1 in 218 3 24/07/2021 17
130 212,425 2.932 1 in 212 2 03/03/2021 58
131 218,818 3.021 1 in 205 4 20/04/2019 253
132 225,183 3.109 1 in 200 2 04/04/2018 362
133 231,654 3.198 1 in 194 4 26/08/2020 112
134 238,082 3.287 1 in 189 5 17/04/2021 45
135 244,610 3.377 1 in 184 2 22/11/2017 400 Overdue
136 251,073 3.466 1 in 179 3 28/09/2019 207
137 257,624 3.556 1 in 174 2 17/10/2018 306
138 264,100 3.646 1 in 170 1 01/04/2020 154
139 270,644 3.736 1 in 166 3 22/09/2018 313
140 277,096 3.825 1 in 162 5 11/07/2020 125
141 283,610 3.915 1 in 158 2 16/01/2016 593 Overdue
142 290,008 4.003 1 in 155 4 12/02/2020 168
143 296,453 4.092 1 in 151 3 16/10/2019 202
144 302,772 4.180 1 in 148 4 01/07/2020 128
145 309,117 4.267 1 in 145 2 24/03/2021 52
146 315,319 4.353 1 in 142 4 23/05/2018 348 Overdue
147 321,539 4.439 1 in 140 4 03/07/2021 23
148 327,591 4.522 1 in 137 5 13/06/2020 133
149 333,647 4.606 1 in 135 7 21/10/2020 96
150 339,525 4.687 1 in 132 3 04/03/2020 162
151 345,385 4.768 1 in 130 2 12/06/2021 29
152 351,050 4.846 1 in 128 6 04/09/2021 5
153 356,690 4.924 1 in 126 2 20/02/2021 61
154 362,111 4.999 1 in 124 5 01/05/2021 41
155 367,492 5.073 1 in 122 5 03/04/2021 49
156 372,646 5.144 1 in 120 10 31/07/2021 15
157 377,739 5.215 1 in 119 3 25/09/2019 208
158 382,589 5.281 1 in 117 3 06/11/2019 196
159 387,372 5.348 1 in 116 4 08/05/2021 39
160 391,889 5.410 1 in 114 7 12/08/2020 116
161 396,327 5.471 1 in 113 0 Never Never
162 400,493 5.529 1 in 112 6 04/08/2021 14
163 404,559 5.585 1 in 111 8 05/09/2020 109
164 408,340 5.637 1 in 110 3 29/05/2021 33
165 412,018 5.688 1 in 109 6 31/10/2020 93
166 415,391 5.734 1 in 108 5 01/05/2019 250 Overdue
167 418,650 5.779 1 in 107 4 15/09/2021 2
168 421,601 5.820 1 in 106 7 25/04/2018 356 Overdue
169 424,421 5.859 1 in 106 5 18/08/2021 10
170 426,923 5.893 1 in 105 2 17/08/2019 219 Overdue
171 429,294 5.926 1 in 104 4 17/03/2021 54
172 431,330 5.954 1 in 104 5 20/03/2021 53
173 433,228 5.981 1 in 104 1 27/04/2019 251 Overdue
174 434,793 6.002 1 in 103 5 09/06/2021 30
175 436,205 6.022 1 in 103 7 21/07/2021 18
176 437,279 6.036 1 in 103 8 14/10/2020 98
177 438,205 6.049 1 in 102 10 16/12/2020 80
178 438,780 6.057 1 in 102 4 02/06/2021 32
179 439,204 6.063 1 in 102 4 22/02/2020 165
180 439,284 6.064 1 in 102 6 14/07/2021 20
181 439,204 6.063 1 in 102 8 30/11/2019 189
182 438,780 6.057 1 in 102 9 21/08/2021 9
183 438,205 6.049 1 in 102 5 25/12/2019 182
184 437,279 6.036 1 in 103 8 10/07/2021 21
185 436,205 6.022 1 in 103 5 08/07/2020 126
186 434,793 6.002 1 in 103 9 31/03/2021 50
187 433,228 5.981 1 in 104 6 19/06/2021 27
188 431,330 5.954 1 in 104 7 02/12/2020 84
189 429,294 5.926 1 in 104 6 16/05/2020 141
190 426,923 5.893 1 in 105 5 02/05/2020 145
191 424,421 5.859 1 in 106 7 25/11/2020 86
192 421,601 5.820 1 in 106 3 30/06/2021 24
193 418,650 5.779 1 in 107 7 16/06/2021 28
194 415,391 5.734 1 in 108 7 18/11/2020 88
195 412,018 5.688 1 in 109 7 14/04/2021 46
196 408,340 5.637 1 in 110 4 07/08/2021 13
197 404,559 5.585 1 in 111 5 13/07/2019 229 Overdue
198 400,493 5.529 1 in 112 6 12/10/2019 203
199 396,327 5.471 1 in 113 3 15/07/2020 124
200 391,889 5.410 1 in 114 9 17/07/2021 19
201 387,372 5.348 1 in 116 2 11/09/2021 3
202 382,589 5.281 1 in 117 8 25/08/2021 8
203 377,739 5.215 1 in 119 7 22/09/2021 0
204 372,646 5.144 1 in 120 8 13/02/2021 63
205 367,492 5.073 1 in 122 1 30/01/2021 67
206 362,111 4.999 1 in 124 7 27/02/2021 59
207 356,690 4.924 1 in 126 5 22/05/2021 35
208 351,050 4.846 1 in 128 8 26/06/2021 25
209 345,385 4.768 1 in 130 7 25/03/2020 156
210 339,525 4.687 1 in 132 5 09/12/2017 395 Overdue
211 333,647 4.606 1 in 135 7 30/09/2020 102
212 327,591 4.522 1 in 137 5 12/12/2018 290 Overdue
213 321,539 4.439 1 in 140 5 21/08/2019 218
214 315,319 4.353 1 in 142 5 18/12/2019 184
215 309,117 4.267 1 in 145 7 19/09/2020 105
216 302,772 4.180 1 in 148 5 27/01/2021 68
217 296,453 4.092 1 in 151 4 06/03/2021 57
218 290,008 4.003 1 in 155 10 10/04/2021 47
219 283,610 3.915 1 in 158 5 28/11/2020 85
220 277,096 3.825 1 in 162 2 05/05/2021 40
221 270,644 3.736 1 in 166 3 24/04/2019 252
222 264,100 3.646 1 in 170 4 28/07/2021 16
223 257,624 3.556 1 in 174 5 05/08/2020 118
224 251,073 3.466 1 in 179 2 06/02/2021 65
225 244,610 3.377 1 in 184 0 Never Never
226 238,082 3.287 1 in 189 2 02/06/2018 345
227 231,654 3.198 1 in 194 1 29/08/2018 320
228 225,183 3.109 1 in 200 0 Never Never
229 218,818 3.021 1 in 205 3 25/01/2020 173
230 212,425 2.932 1 in 212 3 16/12/2017 393
231 206,155 2.846 1 in 218 1 21/11/2018 296
232 199,865 2.759 1 in 225 3 28/08/2021 7
233 193,708 2.674 1 in 232 3 07/10/2020 100
234 187,551 2.589 1 in 240 1 04/06/2016 553 Overdue
235 181,529 2.506 1 in 248 2 23/12/2017 391
236 175,520 2.423 1 in 256 3 23/05/2020 139
237 169,660 2.342 1 in 265 3 17/10/2020 97
238 163,818 2.261 1 in 275 3 02/09/2020 110
239 158,131 2.183 1 in 284 2 07/11/2020 91
240 152,478 2.105 1 in 295 2 28/08/2019 216
241 146,980 2.029 1 in 306 2 08/02/2020 169
242 141,525 1.954 1 in 318 2 26/05/2021 34
243 136,234 1.881 1 in 330 0 Never Never
244 130,988 1.808 1 in 343 0 Never Never
245 125,909 1.738 1 in 357 2 18/09/2021 1
246 120,888 1.669 1 in 372 5 11/11/2020 90
247 116,030 1.602 1 in 388 0 Never Never
248 111,235 1.536 1 in 405 3 12/12/2020 81
249 106,610 1.472 1 in 422 2 29/09/2018 311
250 102,047 1.409 1 in 441 1 28/10/2015 616
251 97,654 1.348 1 in 461 3 14/11/2020 89
252 93,332 1.288 1 in 482 1 21/11/2020 87
253 89,174 1.231 1 in 505 1 18/07/2018 332
254 85,090 1.175 1 in 529 2 15/04/2020 150
255 81,173 1.121 1 in 555 1 27/01/2018 381
256 77,327 1.067 1 in 582 4 07/04/2021 48
257 73,646 1.017 1 in 611 1 01/02/2020 171
258 70,042 0.967 1 in 643 1 08/08/2020 117
259 66,595 0.919 1 in 676 2 10/06/2020 134
260 63,225 0.873 1 in 712 1 05/12/2020 83
261 60,014 0.828 1 in 750 1 06/07/2019 231
262 56,875 0.785 1 in 792 1 31/10/2015 615
263 53,890 0.744 1 in 836 0 Never Never
264 50,981 0.704 1 in 883 2 11/01/2020 177
265 48,217 0.666 1 in 934 1 26/01/2019 277
266 45,528 0.628 1 in 989 4 26/12/2020 77
267 42,983 0.593 1 in 1,048 1 23/12/2020 78
268 40,506 0.559 1 in 1,112 0 Never Never
269 38,168 0.527 1 in 1,180 2 11/10/2017 412
270 35,900 0.496 1 in 1,255 0 Never Never
271 33,761 0.466 1 in 1,334 0 Never Never
272 31,689 0.437 1 in 1,421 3 19/05/2021 36
273 29,744 0.411 1 in 1,514 0 Never Never
274 27,859 0.385 1 in 1,617 0 Never Never
275 26,094 0.360 1 in 1,726 1 24/10/2015 617
276 24,390 0.337 1 in 1,847 1 27/12/2017 390
277 22,796 0.315 1 in 1,976 0 Never Never
278 21,259 0.293 1 in 2,119 1 15/09/2018 315
279 19,829 0.274 1 in 2,272 0 Never Never
280 18,448 0.255 1 in 2,442 0 Never Never
281 17,168 0.237 1 in 2,624 0 Never Never
282 15,937 0.220 1 in 2,827 0 Never Never
283 14,796 0.204 1 in 3,045 0 Never Never
284 13,700 0.189 1 in 3,288 0 Never Never
285 12,691 0.175 1 in 3,550 0 Never Never
286 11,720 0.162 1 in 3,844 0 Never Never
287 10,829 0.149 1 in 4,160 0 Never Never
288 9,975 0.138 1 in 4,517 0 Never Never
289 9,192 0.127 1 in 4,901 0 Never Never
290 8,442 0.117 1 in 5,337 0 Never Never
291 7,760 0.107 1 in 5,806 0 Never Never
292 7,104 0.098 1 in 6,342 0 Never Never
293 6,510 0.090 1 in 6,921 0 Never Never
294 5,942 0.082 1 in 7,582 0 Never Never
295 5,427 0.075 1 in 8,302 0 Never Never
296 4,935 0.068 1 in 9,130 1 30/08/2017 424
297 4,494 0.062 1 in 10,026 0 Never Never
298 4,070 0.056 1 in 11,070 0 Never Never
299 3,692 0.051 1 in 12,204 0 Never Never
300 3,331 0.046 1 in 13,526 0 Never Never
301 3,009 0.042 1 in 14,974 0 Never Never
302 2,702 0.037 1 in 16,675 0 Never Never
303 2,432 0.034 1 in 18,526 0 Never Never
304 2,172 0.030 1 in 20,744 1 25/03/2017 469
305 1,945 0.027 1 in 23,165 0 Never Never
306 1,729 0.024 1 in 26,059 0 Never Never
307 1,540 0.021 1 in 29,258 0 Never Never
308 1,360 0.019 1 in 33,130 0 Never Never
309 1,206 0.017 1 in 37,361 0 Never Never
310 1,057 0.015 1 in 42,627 0 Never Never
311 931 0.013 1 in 48,396 0 Never Never
312 811 0.011 1 in 55,557 0 Never Never
313 709 0.010 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 0.005 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 0.002 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, 22nd September 2021 9:06 pm

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