https://www.lotterypost.com/thread/344624 Lottery Post Forum Topic: Counting problem challenge - 6/54 Lotto en-us Lottery Post RSS Generator https://www.lotterypost.com/thread/344624/7198962 https://www.lotterypost.com/thread/344624/7198962 Sun, 05 Mar 2023 19:43:30 GMT cottoneyedjoe That's a hard question. The goal is sort of the opposite of a traditional lottery wheel or covering design, in which you look for a minimal set of combinations that guarantee at least some level of coverage of a prize-winning tier. Here you want a maximal set that guarantees no more than one combo will win a prize. I was able to come up with some crude upper bounds, but they are not very good. I may try a randomized search.

Good though-provoking quesiton.

]]> cottoneyedjoe https://www.lotterypost.com/thread/344624 https://www.lotterypost.com/thread/344624 Fri, 03 Mar 2023 17:41:50 GMT Orange71 Here's a fun counting problem (at least fun to me). Suppose we have a Pick 6 from 54 lotto. (This happens to be the Texas Lotto game.) Calculate the maximum number of tickets (call it N) that could be generated such that no more than any 2 out of the 6 numbers are duplicated across tickets. Example: 5 8 9 12 46 52 and 5 8 13 17 25 36 meets this criterion. So does 5 8 9 12 46 52 and 4 8 11 15 20 22.

P.S. I have not yet worked out the solution myself. The reason I picked no more than 2/6 is t... [ More ]

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