Jose, I think you may be wrong about the odds. If you buy a ticket every
day, the odds are the same each day 1:308,000,000. If you buy 10 tickets
each day the odds for each ticket to win is still the same.

You are right inasmuch as the odds are the same every day (not counting
the different number of people that buy tickets for any given game).
However, the more tickets you buy, the more your =overall= chance of
winning at =least= one game. For tiny chances, the increase is roughly
linear (there's such a small chance of winning more than once it can be
ignored).

Jose
--
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