# Lottery and Statistics

A lottery involves drawing five white balls out of a drum with 55 balls and then drawing one red ball out of a drum with 42 red balls. (Hint: these are two separate events.) You can buy a $1 ticket and select five white numbers (from 1 to 55 inclusive) and one red number (from 1 to 42 inclusive). You win the lottery if you pick all five of the correct white balls and the correct red ball. It does not matter what order in which the balls are drawn. How much would you have to spend to cover all possible combinations? If the jackpot was $100 million, assuming you'd be the only winner, would this be a good idea?

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#### Solution Preview

Choose five white numbers from 55 numbers from 1 to 55, there are C(55,5)=55*54*53*52*51/5!=3478761 possible combinations. Choose one red nuber ...

#### Solution Summary

This solution involves applying statistics to a lottery problem.