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## Lottery Odds

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

 Puzzle ID: #3749 Fun: (1.99) Difficulty: (2.51) Category: Probability Submitted By: cathalmccabe Corrected By: Anupriya9

What are your odds of winning the lottery?

### Answer

It depends on how many numbers are in your game.
In Ireland, there are 42 numbers (I think!)
You have to pick the six winners as follows:
The first ball can be any of the six:
Your chance of getting the first ball is:
6/42
Next ball can be any of the 5 left, but the number of balls is gone down by one:
5/41
and so on. 4/40, 3/39, 2/38, 1/37
so its 6*5*4*3*2*1/42*41*40*39*38*37
=720/3776965920
That works out at 1/5,245,786
We pay 2euro for a chance to win maybe 2million euro (estimate) so you can see how the money is made.
If one person wins, then chances are there are about 5 million people playing (statistically) 10 million euro raised.
Although there are other prizes given out for match 5 numbers etc.

For your lottery you can follow the same pattern to work out your odds!

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