Pos No. Wins Sales Percentage 1 07 93,562,834 52,388,088,060 0.17860% 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 94,252,420 56,676,569,095 0.16630% 8 12 86,124,178 52,132,450,445 0.16520% 9 17 86,978,627 52,815,713,835 0.16468% 10 27 90,289,868 54,930,052,730 0.16437% 11 06 83,892,098 51,048,385,855 0.16434% 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 80,360,811 49,636,726,960 0.16190% 17 28 84,989,871 52,662,480,220 0.16139% 18 10 83,793,326 51,929,372,710 0.16136% 19 25 89,398,489 55,961,170,975 0.15975% 20 14 82,545,438 51,881,083,915 0.15911% 21 24 82,660,290 52,041,774,400 0.15883% 22 29 80,691,395 50,881,991,870 0.15859% 23 13 72,228,629 45,564,621,000 0.15852% 24 21 71,051,216 44,989,037,840 0.15793% 25 30 86,869,093 55,355,512,105 0.15693% 26 22 79,343,416 50,644,787,760 0.15667% 27 15 79,076,673 50,625,526,790 0.15620% 28 33 84,649,786 55,096,767,590 0.15364% 29 16 72,790,569 47,382,015,955 0.15362% 30 01 76,924,264 50,079,969,275 0.15360% 31 32 80,579,883 52,633,457,050 0.15310% 32 48 81,326,055 53,205,214,235 0.15285% 33 26 77,648,438 50,957,092,155 0.15238% 34 42 81,947,836 53,847,112,580 0.15219% 35 43 84,268,476 55,394,641,535 0.15212% 36 38 86,216,167 56,692,991,165 0.15208% 37 31 86,231,199 56,880,218,045 0.15160% 38 45 76,127,497 51,601,521,535 0.14753% 39 40 85,092,083 57,838,925,525 0.14712% 40 47 81,628,044 55,617,366,700 0.14677% 41 20 65,251,914 45,478,436,395 0.14348% 42 37 71,271,781 49,795,948,790 0.14313% 43 39 76,455,172 53,423,701,465 0.14311% 44 49 74,402,356 52,026,891,945 0.14301% 45 35 75,996,366 53,292,359,460 0.14260% 46 34 74,007,338 51,968,286,665 0.14241% 47 36 71,286,152 50,063,650,660 0.14239% 48 41 66,021,686 47,913,797,060 0.13779% 49 46 69,647,089 50,608,528,105 0.13762% 50 52 6,006,540 12,660,688,630 0.04744% 51 58 5,611,284 11,850,403,020 0.04735% 52 53 4,449,477 9,404,866,600 0.04731% 53 57 4,918,593 10,457,228,270 0.04704% 54 54 5,632,787 12,070,943,840 0.04666% 55 59 5,164,373 11,068,711,510 0.04666% 56 51 4,824,375 10,355,967,230 0.04659% 57 50 4,595,807 9,934,694,490 0.04626% 58 56 4,896,166 10,655,477,000 0.04595% 59 55 4,362,250 9,541,225,540 0.04572%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 3179 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...