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## Usenet Newsgroups : rec.puzzles Hall of Fame

The rec.puzzles Hall of Fame is a compilation of over 500 of the most popular puzzles that have been posted and discussed in the rec.puzzles newsgroup. In most cases a detailed solution has been provided.

Many of these puzzles also appear in Braingle's own collection.

 rec.puzzles Newsgroup FAQ Hall of Fame alt.brain.teasers Newsgroup FAQ
Categories : probability : lottery.p

```There are n tickets in the lottery, k winners and m allowing you to
pick another ticket. The problem is to determine the probability of
winning the lottery when you start by picking 1 (one) ticket.

A lottery has N balls in all, and you as a player can choose m numbers
on each card, and the lottery authorities then choose n balls, define
L(N,n,m,k) as the minimum number of cards you must purchase to ensure
that at least one of your cards will have at least k numbers in common
with the balls chosen in the lottery.
```

Solution

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