Pos No. Wins Sales Percentage 1 07 92,339,506 50,607,206,340 0.18246% 2 09 93,430,872 52,392,560,425 0.17833% 3 05 84,925,391 47,952,482,585 0.17710% 4 11 92,195,618 53,282,872,175 0.17303% 5 03 85,960,870 49,895,536,635 0.17228% 6 44 95,821,239 56,297,322,845 0.17021% 7 12 84,441,767 49,743,706,475 0.16975% 8 23 93,505,964 55,401,256,175 0.16878% 9 17 85,781,218 50,950,269,565 0.16836% 10 27 89,214,315 53,037,577,960 0.16821% 11 06 82,556,539 49,089,085,185 0.16818% 12 04 82,044,005 49,282,968,195 0.16648% 13 19 80,047,243 48,172,152,155 0.16617% 14 18 83,474,229 50,265,385,045 0.16607% 15 02 81,382,277 49,136,636,245 0.16562% 16 10 82,559,052 49,881,055,260 0.16551% 17 08 79,544,594 48,394,325,880 0.16437% 18 28 84,132,104 51,199,607,750 0.16432% 19 13 71,167,061 43,868,419,610 0.16223% 20 14 81,580,878 50,321,683,465 0.16212% 21 24 81,692,025 50,436,182,200 0.16197% 22 25 88,763,113 54,959,148,355 0.16151% 23 29 79,815,426 49,625,539,920 0.16084% 24 30 85,873,439 53,773,008,835 0.15970% 25 22 78,539,899 49,197,988,360 0.15964% 26 21 70,576,900 44,238,065,010 0.15954% 27 15 78,068,603 49,036,967,100 0.15920% 28 33 83,360,675 52,905,607,060 0.15756% 29 16 71,653,154 45,552,662,955 0.15730% 30 01 75,841,192 48,455,553,955 0.15652% 31 38 84,929,074 54,342,334,175 0.15629% 32 32 79,749,323 51,263,602,250 0.15557% 33 42 80,875,000 52,003,631,230 0.15552% 34 48 80,534,341 51,859,928,835 0.15529% 35 43 83,358,570 53,679,755,715 0.15529% 36 31 85,316,237 55,207,282,665 0.15454% 37 26 77,008,567 49,886,592,825 0.15437% 38 47 80,519,109 53,633,255,570 0.15013% 39 40 83,983,096 55,975,066,485 0.15004% 40 45 75,475,289 50,415,992,045 0.14971% 41 20 64,245,840 43,716,994,415 0.14696% 42 36 70,268,093 48,012,916,840 0.14635% 43 39 75,545,775 51,712,043,145 0.14609% 44 35 74,667,134 51,229,355,720 0.14575% 45 49 73,681,912 50,705,294,955 0.14531% 46 37 70,475,764 48,499,807,980 0.14531% 47 34 73,279,260 50,489,883,545 0.14514% 48 41 65,195,373 46,497,256,670 0.14021% 49 46 69,021,701 49,493,381,025 0.13946% 50 58 5,110,228 10,763,585,650 0.04748% 51 52 5,407,445 11,407,679,750 0.04740% 52 57 4,042,302 8,643,430,980 0.04677% 53 53 3,780,878 8,098,420,840 0.04669% 54 59 4,289,347 9,199,093,950 0.04663% 55 50 4,121,654 8,853,399,740 0.04655% 56 54 4,556,397 9,813,423,090 0.04643% 57 56 4,329,694 9,381,917,750 0.04615% 58 55 3,789,353 8,325,311,550 0.04552% 59 51 4,003,424 8,799,955,890 0.04549%Notes:
Firstly, I needed to work out how many winning tickets used a particular number (let's say using the number 1 as an example) in each prize tier for a single draw. Camelot don't release the figures for this, so for a particular prize tier, it has to be estimated thus:
Winning tickets using the number 1 in a prize tier = ( Number of combinations in that tier that use the number 1 / Total combinations in that tier ) * Number of actual prize winners in that tier [yes, this last figure is indeed released by Camelot]
This assumes an even distribution of combinations of course, which isn't the case in real life, but it's the best we can do. I then wrote a combinations program that generated all 14m tickets and calculated the first two figures in the RHS of the above equation for each tier (we know the third figure from Camelot as I said) by assuming that the 6 numbers drawn were 1 to 6 and we were looking at winning tickets using the number 1. This resulted in the following table:
Tier Uses 1 Combs Ratio 6-match 1 1 1.000 5+bonus 5 6 0.833 5-match 210 252 0.833 4-match 9,030 13,545 0.667 3-match 123,410 246,820 0.500 2-match 617,050 1,851,150 0.333 1-match 962,598 5,775,588 0.167 0-match 0 6,095,454 0.000
After this, it was simply a question of using the above table for each draw, multiplying the ratio by number of winners in the tier for a particular draw and then doing this for all 2996 draws to get a total for a particular number. I then totalled the sales for every draw where a particular number appeared, divided the figure from the previous sentence by that total and then sorted on the percentage figure as shown in the main table on this page. You can wake up now...