# Odds of 250,000 people having the winning PowerBall ticket number.

I have a question:

I understand that the odds of winning the PowerBall are about 1 in 175,000,000. Assuming that figure is approximately correct, then what are the approximate odds of 250,000 people choosing the correct winning number?

Any help will be appreciated Thanks

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sometimes different people choose the same 'magic' number: math.stackexchange.com/questions/467575/… –  Alex Jan 21 '14 at 2:06

## 1 Answer

Since ${250000\over 175000000}={1\over 700}$ the odds are approximately 1 in 700.

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You are assuming that they choose distinct values. –  Calvin Lin Jan 21 '14 at 15:34
Yes, it is an approximation. For a more accurate answer, the OP would need to specify more exactly how the quarter million tickets are chosen. –  Byron Schmuland Jan 21 '14 at 16:32
Assuming the question was meant to read (odds of someone winning the lottery), I love this answer. –  Display Name Aug 25 '14 at 6:45