Yes, 150 is the Sum with marginally the highest group count at 165,772. If odds were offered by the Lottery opreator for a winning number falling within a sums grouping then the prize paid would be adjusted to the probability less the house margin. This in fact is done with the New York Pick 3 as an add-on game - see my post Sums now paid on in New York Pick 3.

For each combination in the 150 Sums group the probability of being selected is the same as 1 2 3 4 5 6 which is the single Combination in Sum Group 21. ie 1 in 14,000,000. There are three other Sum Groups 22, 278 and 279 with single combinations and the same probability applies there. Introducing a constraint that has no bearing in the random selection process where all are equally likely does not increase your chances of success.

This article first published on the web 11/3/2005 and has been viewed 5175 times. The author may be contacted at fairbros@bigpond.com. To generate sets of Lotto numbers to play for most Lotto games around the world go to LottoToWin ^{®} where for a US$5.00 annual subscription you can store the numbers as well, to check later for wins. The numbers produced have no duplicate subset combinations of two integers (if applicable) or three integers, use all the integers for the particular Lotto game and maximize the coverage of the potential winning main number. The articles on this site have been selected from the many at the forum LottoPoster