Pos No. Wins Sales Percentage 1 07 93,673,315 52,518,088,060 0.17836% 2 05 86,032,799 49,567,892,495 0.17357% 3 09 95,045,886 54,899,584,375 0.17313% 4 03 86,981,387 51,384,697,165 0.16927% 5 11 93,684,093 55,486,007,635 0.16884% 6 44 96,599,367 57,596,364,475 0.16772% 7 23 94,362,901 56,806,569,095 0.16611% 8 17 86,978,627 52,815,713,835 0.16468% 9 27 90,289,868 54,930,052,730 0.16437% 10 06 83,892,098 51,048,385,855 0.16434% 11 12 86,360,365 52,572,450,445 0.16427% 12 19 80,936,792 49,589,068,665 0.16321% 13 04 83,105,844 50,935,914,415 0.16316% 14 18 84,577,930 52,029,012,405 0.16256% 15 02 82,389,512 50,787,978,325 0.16222% 16 08 80,471,292 49,766,726,960 0.16170% 17 10 83,793,326 51,929,372,710 0.16136% 18 28 85,182,709 52,992,480,220 0.16074% 19 25 89,437,113 56,081,170,975 0.15948% 20 14 82,545,438 51,881,083,915 0.15911% 21 24 82,660,290 52,041,774,400 0.15883% 22 29 80,730,019 51,001,991,870 0.15829% 23 13 72,272,564 45,684,621,000 0.15820% 24 21 71,051,216 44,989,037,840 0.15793% 25 30 86,951,450 55,555,512,105 0.15651% 26 22 79,426,213 50,894,787,760 0.15606% 27 15 79,246,112 51,015,526,790 0.15534% 28 16 72,790,569 47,382,015,955 0.15362% 29 01 76,962,888 50,199,969,275 0.15331% 30 33 84,776,078 55,416,767,590 0.15298% 31 32 80,666,965 52,823,457,050 0.15271% 32 48 81,413,136 53,395,214,235 0.15247% 33 42 81,947,836 53,847,112,580 0.15219% 34 26 77,693,146 51,077,092,155 0.15211% 35 38 86,216,167 56,692,991,165 0.15208% 36 43 84,505,688 55,894,641,535 0.15119% 37 31 86,362,988 57,190,218,045 0.15101% 38 45 76,172,205 51,721,521,535 0.14727% 39 47 81,628,044 55,617,366,700 0.14677% 40 40 85,174,642 58,078,925,525 0.14665% 41 20 65,251,914 45,478,436,395 0.14348% 42 37 71,271,781 49,795,948,790 0.14313% 43 49 74,402,356 52,026,891,945 0.14301% 44 39 76,537,529 53,623,701,465 0.14273% 45 35 76,040,301 53,412,359,460 0.14236% 46 36 71,330,859 50,183,650,660 0.14214% 47 34 74,090,134 52,218,286,665 0.14189% 48 46 69,647,089 50,608,528,105 0.13762% 49 41 66,187,815 48,403,797,060 0.13674% 50 52 6,006,540 12,660,688,630 0.04744% 51 53 4,449,477 9,404,866,600 0.04731% 52 58 5,780,722 12,240,403,020 0.04723% 53 57 4,918,593 10,457,228,270 0.04704% 54 59 5,164,373 11,068,711,510 0.04666% 55 51 4,869,083 10,475,967,230 0.04648% 56 54 5,759,518 12,440,943,840 0.04629% 57 50 4,595,807 9,934,694,490 0.04626% 58 55 4,362,250 9,541,225,540 0.04572% 59 56 4,978,962 10,905,477,000 0.04566%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 3185 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...