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 1000 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 is not included in these statistics as only one number is drawn.

Number Sum Total	Possible Combinations	Expectation		Actual Over 309 Draws
Number Sum Total	Possible Combinations	Count	Frequency	Count	Last Drawn	Draws Ago
21	1	0.000	1 in 45,057,470	0	Never	Never
22	1	0.000	1 in 45,057,470	0	Never	Never
23	2	0.000	1 in 22,528,740	0	Never	Never
24	3	0.000	1 in 15,019,160	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 2,252,874	0	Never	Never
30	26	0.000	1 in 1,732,980	0	Never	Never
31	35	0.000	1 in 1,287,356	0	Never	Never
32	44	0.000	1 in 1,024,033	0	Never	Never
33	58	0.000	1 in 776,853	0	Never	Never
34	71	0.000	1 in 634,612	0	Never	Never
35	90	0.001	1 in 500,639	0	Never	Never
36	110	0.001	1 in 409,613	0	Never	Never
37	136	0.001	1 in 331,305	0	Never	Never
38	163	0.001	1 in 276,426	0	Never	Never
39	199	0.001	1 in 226,419	0	Never	Never
40	235	0.002	1 in 191,734	0	Never	Never
41	282	0.002	1 in 159,778	0	Never	Never
42	331	0.002	1 in 136,125	0	Never	Never
43	391	0.003	1 in 115,237	0	Never	Never
44	454	0.003	1 in 99,246	0	Never	Never
45	532	0.004	1 in 84,694	0	Never	Never
46	612	0.004	1 in 73,623	0	Never	Never
47	709	0.005	1 in 63,551	0	Never	Never
48	811	0.006	1 in 55,558	0	Never	Never
49	931	0.006	1 in 48,397	0	Never	Never
50	1,057	0.007	1 in 42,628	0	Never	Never
51	1,206	0.008	1 in 37,361	1	04/05/2016	250
52	1,360	0.009	1 in 33,130	0	Never	Never
53	1,540	0.011	1 in 29,258	0	Never	Never
54	1,729	0.012	1 in 26,060	0	Never	Never
55	1,945	0.013	1 in 23,166	0	Never	Never
56	2,172	0.015	1 in 20,745	0	Never	Never
57	2,432	0.017	1 in 18,527	0	Never	Never
58	2,702	0.019	1 in 16,676	0	Never	Never
59	3,009	0.021	1 in 14,974	0	Never	Never
60	3,331	0.023	1 in 13,527	0	Never	Never
61	3,692	0.025	1 in 12,204	0	Never	Never
62	4,070	0.028	1 in 11,071	0	Never	Never
63	4,494	0.031	1 in 10,026	0	Never	Never
64	4,935	0.034	1 in 9,130	0	Never	Never
65	5,427	0.037	1 in 8,302	0	Never	Never
66	5,942	0.041	1 in 7,583	0	Never	Never
67	6,510	0.045	1 in 6,921	0	Never	Never
68	7,104	0.049	1 in 6,343	0	Never	Never
69	7,760	0.053	1 in 5,806	0	Never	Never
70	8,442	0.058	1 in 5,337	1	20/04/2016	254
71	9,192	0.063	1 in 4,902	0	Never	Never
72	9,975	0.068	1 in 4,517	0	Never	Never
73	10,829	0.074	1 in 4,161	0	Never	Never
74	11,720	0.080	1 in 3,844	0	Never	Never
75	12,691	0.087	1 in 3,550	0	Never	Never
76	13,700	0.094	1 in 3,289	0	Never	Never
77	14,796	0.101	1 in 3,045	0	Never	Never
78	15,937	0.109	1 in 2,827	1	21/06/2017	132
79	17,168	0.118	1 in 2,625	0	Never	Never
80	18,448	0.127	1 in 2,442	0	Never	Never
81	19,829	0.136	1 in 2,272	0	Never	Never
82	21,259	0.146	1 in 2,119	0	Never	Never
83	22,796	0.156	1 in 1,977	0	Never	Never
84	24,390	0.167	1 in 1,847	0	Never	Never
85	26,094	0.179	1 in 1,727	0	Never	Never
86	27,859	0.191	1 in 1,617	0	Never	Never
87	29,744	0.204	1 in 1,515	0	Never	Never
88	31,689	0.217	1 in 1,422	1	11/08/2018	13
89	33,761	0.232	1 in 1,335	1	18/08/2018	11
90	35,900	0.246	1 in 1,255	0	Never	Never
91	38,168	0.262	1 in 1,181	0	Never	Never
92	40,506	0.278	1 in 1,112	0	Never	Never
93	42,983	0.295	1 in 1,048	0	Never	Never
94	45,528	0.312	1 in 990	0	Never	Never
95	48,217	0.331	1 in 934	1	23/12/2015	288
96	50,981	0.350	1 in 884	0	Never	Never
97	53,890	0.370	1 in 836	0	Never	Never
98	56,875	0.390	1 in 792	0	Never	Never
99	60,014	0.412	1 in 751	1	19/07/2017	124
100	63,225	0.434	1 in 713	0	Never	Never
101	66,595	0.457	1 in 677	1	19/11/2016	193
102	70,042	0.480	1 in 643	0	Never	Never
103	73,646	0.505	1 in 612	0	Never	Never
104	77,327	0.530	1 in 583	0	Never	Never
105	81,173	0.557	1 in 555	0	Never	Never
106	85,090	0.584	1 in 530	1	22/03/2017	158
107	89,174	0.612	1 in 505	1	15/04/2017	151
108	93,332	0.640	1 in 483	2	21/04/2018	45
109	97,654	0.670	1 in 461	0	Never	Never
110	102,047	0.700	1 in 442	1	21/11/2015	297
111	106,610	0.731	1 in 423	0	Never	Never
112	111,235	0.763	1 in 405	0	Never	Never
113	116,030	0.796	1 in 388	0	Never	Never
114	120,888	0.829	1 in 373	3	30/05/2018	34
115	125,909	0.863	1 in 358	0	Never	Never
116	130,988	0.898	1 in 344	3	17/06/2017	133
117	136,234	0.934	1 in 331	0	Never	Never
118	141,525	0.971	1 in 318	0	Never	Never
119	146,980	1.008	1 in 307	1	20/01/2018	71
120	152,478	1.046	1 in 296	0	Never	Never
121	158,131	1.084	1 in 285	2	13/01/2018	73
122	163,818	1.123	1 in 275	1	15/06/2016	238
123	169,660	1.164	1 in 266	2	17/02/2018	63
124	175,520	1.204	1 in 257	0	Never	Never
125	181,529	1.245	1 in 248	2	14/12/2016	186
126	187,551	1.286	1 in 240	0	Never	Never
127	193,708	1.328	1 in 233	0	Never	Never
128	199,865	1.371	1 in 225	1	07/09/2016	214
129	206,155	1.414	1 in 219	1	23/06/2018	27
130	212,425	1.457	1 in 212	0	Never	Never
131	218,818	1.501	1 in 206	3	31/03/2018	51
132	225,183	1.544	1 in 200	2	04/04/2018	50
133	231,654	1.589	1 in 195	2	09/07/2016	231
134	238,082	1.633	1 in 189	3	02/05/2018	42
135	244,610	1.678	1 in 184	2	22/11/2017	88
136	251,073	1.722	1 in 179	1	28/03/2018	52
137	257,624	1.767	1 in 175	1	13/05/2017	143
138	264,100	1.811	1 in 171	0	Never	Never
139	270,644	1.856	1 in 166	3	22/09/2018	1
140	277,096	1.900	1 in 163	4	25/07/2018	18
141	283,610	1.945	1 in 159	2	16/01/2016	281
142	290,008	1.989	1 in 155	2	29/10/2016	199
143	296,453	2.033	1 in 152	2	17/03/2018	55
144	302,772	2.076	1 in 149	1	30/01/2016	277
145	309,117	2.120	1 in 146	0	Never	Never	Overdue
146	315,319	2.162	1 in 143	4	23/05/2018	36
147	321,539	2.205	1 in 140	2	14/07/2018	21
148	327,591	2.247	1 in 138	2	27/08/2016	217
149	333,647	2.288	1 in 135	3	21/07/2018	19
150	339,525	2.328	1 in 133	2	26/05/2018	35
151	345,385	2.369	1 in 130	1	14/05/2016	247
152	351,050	2.407	1 in 128	3	19/09/2018	2
153	356,690	2.446	1 in 126	1	20/05/2017	141
154	362,111	2.483	1 in 124	4	28/02/2018	60
155	367,492	2.520	1 in 123	2	04/08/2018	15
156	372,646	2.556	1 in 121	3	05/11/2016	197
157	377,739	2.590	1 in 119	2	17/12/2016	185
158	382,589	2.624	1 in 118	2	13/06/2018	30
159	387,372	2.657	1 in 116	2	25/10/2017	96
160	391,889	2.688	1 in 115	4	12/09/2018	4
161	396,327	2.718	1 in 114	0	Never	Never	Overdue
162	400,493	2.747	1 in 113	4	22/08/2018	10
163	404,559	2.774	1 in 111	5	12/07/2017	126
164	408,340	2.800	1 in 110	1	03/01/2018	76
165	412,018	2.826	1 in 109	0	Never	Never	Overdue
166	415,391	2.849	1 in 108	4	04/11/2017	93
167	418,650	2.871	1 in 108	2	11/11/2017	91
168	421,601	2.891	1 in 107	7	25/04/2018	44
169	424,421	2.911	1 in 106	1	16/04/2016	255	Overdue
170	426,923	2.928	1 in 106	0	Never	Never	Overdue
171	429,294	2.944	1 in 105	1	28/01/2017	173
172	431,330	2.958	1 in 104	2	07/02/2018	66
173	433,228	2.971	1 in 104	0	Never	Never	Overdue
174	434,793	2.982	1 in 104	3	19/05/2018	37
175	436,205	2.991	1 in 103	3	18/04/2018	46
176	437,279	2.999	1 in 103	5	28/04/2018	43
177	438,205	3.005	1 in 103	6	10/06/2017	135
178	438,780	3.009	1 in 103	1	17/08/2016	220	Overdue
179	439,204	3.012	1 in 103	2	06/12/2017	84
180	439,284	3.013	1 in 103	3	09/11/2016	196
181	439,204	3.012	1 in 103	3	15/11/2017	90
182	438,780	3.009	1 in 103	4	05/09/2018	6
183	438,205	3.005	1 in 103	3	20/12/2017	80
184	437,279	2.999	1 in 103	3	01/08/2018	16
185	436,205	2.991	1 in 103	2	01/09/2018	7
186	434,793	2.982	1 in 104	6	28/07/2018	17
187	433,228	2.971	1 in 104	2	14/02/2018	64
188	431,330	2.958	1 in 104	3	16/06/2018	29
189	429,294	2.944	1 in 105	3	07/03/2018	58
190	426,923	2.928	1 in 106	3	26/07/2017	122
191	424,421	2.911	1 in 106	4	24/02/2018	61
192	421,601	2.891	1 in 107	1	15/03/2017	160
193	418,650	2.871	1 in 108	4	18/11/2017	89
194	415,391	2.849	1 in 108	3	30/11/2016	190
195	412,018	2.826	1 in 109	2	25/11/2017	87
196	408,340	2.800	1 in 110	1	12/04/2017	152
197	404,559	2.774	1 in 111	3	03/02/2018	67
198	400,493	2.747	1 in 113	4	08/09/2018	5
199	396,327	2.718	1 in 114	2	04/07/2018	24
200	391,889	2.688	1 in 115	7	25/08/2018	9
201	387,372	2.657	1 in 116	0	Never	Never	Overdue
202	382,589	2.624	1 in 118	2	13/07/2016	230
203	377,739	2.590	1 in 119	3	24/09/2016	209
204	372,646	2.556	1 in 121	5	06/01/2018	75
205	367,492	2.520	1 in 123	0	Never	Never	Overdue
206	362,111	2.483	1 in 124	2	30/06/2018	25
207	356,690	2.446	1 in 126	3	27/05/2017	139
208	351,050	2.407	1 in 128	4	31/12/2016	181
209	345,385	2.369	1 in 130	6	09/06/2018	31
210	339,525	2.328	1 in 133	5	09/12/2017	83
211	333,647	2.288	1 in 135	4	28/10/2017	95
212	327,591	2.247	1 in 138	4	15/08/2018	12
213	321,539	2.205	1 in 140	2	24/01/2018	70
214	315,319	2.162	1 in 143	1	26/08/2017	113
215	309,117	2.120	1 in 146	4	21/10/2017	97
216	302,772	2.076	1 in 149	3	14/10/2017	99
217	296,453	2.033	1 in 152	1	30/07/2016	225
218	290,008	1.989	1 in 155	5	07/07/2018	23
219	283,610	1.945	1 in 159	2	23/07/2016	227
220	277,096	1.900	1 in 163	0	Never	Never
221	270,644	1.856	1 in 166	1	26/03/2016	261
222	264,100	1.811	1 in 171	2	01/07/2017	129
223	257,624	1.767	1 in 175	0	Never	Never
224	251,073	1.722	1 in 179	0	Never	Never
225	244,610	1.678	1 in 184	0	Never	Never
226	238,082	1.633	1 in 189	2	02/06/2018	33
227	231,654	1.589	1 in 195	1	29/08/2018	8
228	225,183	1.544	1 in 200	0	Never	Never
229	218,818	1.501	1 in 206	1	19/08/2017	115
230	212,425	1.457	1 in 212	3	16/12/2017	81
231	206,155	1.414	1 in 219	0	Never	Never
232	199,865	1.371	1 in 225	0	Never	Never
233	193,708	1.328	1 in 233	1	14/04/2018	47
234	187,551	1.286	1 in 240	1	04/06/2016	241
235	181,529	1.245	1 in 248	2	23/12/2017	79
236	175,520	1.204	1 in 257	2	31/05/2017	138
237	169,660	1.164	1 in 266	1	27/01/2016	278
238	163,818	1.123	1 in 275	2	02/09/2017	111
239	158,131	1.084	1 in 285	1	06/01/2016	284
240	152,478	1.046	1 in 296	1	20/01/2016	280
241	146,980	1.008	1 in 307	1	21/03/2018	54
242	141,525	0.971	1 in 318	0	Never	Never
243	136,234	0.934	1 in 331	0	Never	Never
244	130,988	0.898	1 in 344	0	Never	Never
245	125,909	0.863	1 in 358	1	11/04/2018	48
246	120,888	0.829	1 in 373	3	19/04/2017	150
247	116,030	0.796	1 in 388	0	Never	Never
248	111,235	0.763	1 in 405	1	29/11/2017	86
249	106,610	0.731	1 in 423	1	12/08/2017	117
250	102,047	0.700	1 in 442	1	28/10/2015	304
251	97,654	0.670	1 in 461	0	Never	Never
252	93,332	0.640	1 in 483	0	Never	Never
253	89,174	0.612	1 in 505	1	18/07/2018	20
254	85,090	0.584	1 in 530	1	17/01/2018	72
255	81,173	0.557	1 in 555	1	27/01/2018	69
256	77,327	0.530	1 in 583	1	09/01/2016	283
257	73,646	0.505	1 in 612	0	Never	Never
258	70,042	0.480	1 in 643	0	Never	Never
259	66,595	0.457	1 in 677	1	27/06/2018	26
260	63,225	0.434	1 in 713	0	Never	Never
261	60,014	0.412	1 in 751	0	Never	Never
262	56,875	0.390	1 in 792	1	31/10/2015	303
263	53,890	0.370	1 in 836	0	Never	Never
264	50,981	0.350	1 in 884	1	27/09/2017	104
265	48,217	0.331	1 in 934	0	Never	Never
266	45,528	0.312	1 in 990	2	08/06/2016	240
267	42,983	0.295	1 in 1,048	0	Never	Never
268	40,506	0.278	1 in 1,112	0	Never	Never
269	38,168	0.262	1 in 1,181	2	11/10/2017	100
270	35,900	0.246	1 in 1,255	0	Never	Never
271	33,761	0.232	1 in 1,335	0	Never	Never
272	31,689	0.217	1 in 1,422	1	30/12/2017	77
273	29,744	0.204	1 in 1,515	0	Never	Never
274	27,859	0.191	1 in 1,617	0	Never	Never
275	26,094	0.179	1 in 1,727	1	24/10/2015	305
276	24,390	0.167	1 in 1,847	1	27/12/2017	78
277	22,796	0.156	1 in 1,977	0	Never	Never
278	21,259	0.146	1 in 2,119	1	15/09/2018	3
279	19,829	0.136	1 in 2,272	0	Never	Never
280	18,448	0.127	1 in 2,442	0	Never	Never
281	17,168	0.118	1 in 2,625	0	Never	Never
282	15,937	0.109	1 in 2,827	0	Never	Never
283	14,796	0.101	1 in 3,045	0	Never	Never
284	13,700	0.094	1 in 3,289	0	Never	Never
285	12,691	0.087	1 in 3,550	0	Never	Never
286	11,720	0.080	1 in 3,844	0	Never	Never
287	10,829	0.074	1 in 4,161	0	Never	Never
288	9,975	0.068	1 in 4,517	0	Never	Never
289	9,192	0.063	1 in 4,902	0	Never	Never
290	8,442	0.058	1 in 5,337	0	Never	Never
291	7,760	0.053	1 in 5,806	0	Never	Never
292	7,104	0.049	1 in 6,343	0	Never	Never
293	6,510	0.045	1 in 6,921	0	Never	Never
294	5,942	0.041	1 in 7,583	0	Never	Never
295	5,427	0.037	1 in 8,302	0	Never	Never
296	4,935	0.034	1 in 9,130	1	30/08/2017	112
297	4,494	0.031	1 in 10,026	0	Never	Never
298	4,070	0.028	1 in 11,071	0	Never	Never
299	3,692	0.025	1 in 12,204	0	Never	Never
300	3,331	0.023	1 in 13,527	0	Never	Never
301	3,009	0.021	1 in 14,974	0	Never	Never
302	2,702	0.019	1 in 16,676	0	Never	Never
303	2,432	0.017	1 in 18,527	0	Never	Never
304	2,172	0.015	1 in 20,745	1	25/03/2017	157
305	1,945	0.013	1 in 23,166	0	Never	Never
306	1,729	0.012	1 in 26,060	0	Never	Never
307	1,540	0.011	1 in 29,258	0	Never	Never
308	1,360	0.009	1 in 33,130	0	Never	Never
309	1,206	0.008	1 in 37,361	0	Never	Never
310	1,057	0.007	1 in 42,628	0	Never	Never
311	931	0.006	1 in 48,397	0	Never	Never
312	811	0.006	1 in 55,558	0	Never	Never
313	709	0.005	1 in 63,551	0	Never	Never
314	612	0.004	1 in 73,623	0	Never	Never
315	532	0.004	1 in 84,694	0	Never	Never
316	454	0.003	1 in 99,246	0	Never	Never
317	391	0.003	1 in 115,237	0	Never	Never
318	331	0.002	1 in 136,125	0	Never	Never
319	282	0.002	1 in 159,778	0	Never	Never
320	235	0.002	1 in 191,734	0	Never	Never
321	199	0.001	1 in 226,419	0	Never	Never
322	163	0.001	1 in 276,426	0	Never	Never
323	136	0.001	1 in 331,305	0	Never	Never
324	110	0.001	1 in 409,613	0	Never	Never
325	90	0.001	1 in 500,639	0	Never	Never
326	71	0.000	1 in 634,612	0	Never	Never
327	58	0.000	1 in 776,853	0	Never	Never
328	44	0.000	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 1,732,980	0	Never	Never
331	20	0.000	1 in 2,252,874	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 15,019,160	0	Never	Never
337	2	0.000	1 in 22,528,740	0	Never	Never
338	1	0.000	1 in 45,057,470	0	Never	Never
339	1	0.000	1 in 45,057,470	0	Never	Never