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by nopeYouAreWrong 438 days ago
"The game called for picking six numbers from 1 and 54. For a pro gambler, some sets of numbers—such as 1,2,3,4,5,6—aren’t worth picking because so many other players choose them, which would split the pot. Marantelli’s operation bought 99.3% of the possibilities."

Wouldn't this be 54x53x52x51x50x49 = 18,595,558,800 therefore 99.3% is 18,465,389,888.4 or basically over 18 billion dollars in tickets (at $1 per ticket)?

2 comments

I also could not work this out.

I think there are a bewildering number of games on the Texas lottery [1] but none seem to give the odds listed. But even more confusingly the Texas lottery itself lists the chance of a jackpot as 1 in 25.8mil [2]. So I’m not sure what we’re missing?!

The 1:26mil number must be about correct as google says the whole lottery grosses about 1.2bn a year. So 100m a month. So about 12.5mil tickets sold per draw if they are twice weekly. So a roughly 50% chance of a jackpot. If it were as our numbers show it would take about 16 years for a jackpot to occur even if that were the only game people played.

1: https://en.m.wikipedia.org/wiki/Texas_Lottery

2: https://www.texaslottery.com/export/sites/lottery/Documents/...

I believe the game in the article is no longer offered. I think it was a regional game with 3 numbers like lucky 7s or whatever.
I suspect you have to choose the right numbers but not the right order. That makes the numbers work out.
Order doesn't matter, you need to divide by 6!
Where the final '!' means 'factorial' not just an emphatic 6.

"6 factorial" is 6 x 5 x 4 x 3 x 2 x 1 = 720.