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How to make $1 million and invest nothing?

Whats wrong with this logic?

The odds of winning the California Supper Lotto is 18 million to 1

If one person purchased all 18 million possible combinations

they would be guaranteed to win.

Assume the jackpot is worth 100 million.

What if I went to the lottery officials and made this proposal…

If I spend 18 million $ and buy every unique number I can win your

jackpot. But rather than go through all that trouble, why don't I just

give you the 18 million and you give me the jackpot?

Or to make it even better for you, give me just 1/5 of the jackpot, or

20 million. That would make it fair for any other winners - the possibility of which

is slim.

Or yet, why bother with the tedious transactions. Just pretend I gave you the

18 million and just give me the difference - 2 million.

In fact, if you just give me a million dollars I'll get out of your

hair completely.

What you you rather loose? 100 million or just 1 million?

1 Answer

Relevance
  • 7 years ago

    The size of the jackpot depends on how much money is made on selling the tickets, say 50% of the profit.

    So if you bought all 18 million tickets for 18 million dollars (and were the only one to buy a ticket), the jackpot would be 9 million.

    If the jackpot reached 100 millions dollars this would mean that 200 million tickets were sold. Since the odds of winning are 1 in 18 million, this would mean that there would be on average 11 people (including you) with a winning ticket. So the 100 millions dollars would be split among those 11 people giving you only 9 million dollars.

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