gjm comments on What's wrong with this picture? - Less Wrong Discussion
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The probabilities are all the same. But you are probably screwing yourself over (above and beyond the screwage of buying a ticket in the first place, at least if wealth is your goal) if you pick 1,2,3,4,5,6 or something of the kind -- because more other people will have picked that than 1,4,5,18,23,31 or some other random-looking set, so if you win you'll have to share the prize with more people. (Assuming that that's what happens when there are multiple jackpot winners. It usually is.)