### Brain Teasers

# Lottery Odds

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

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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