Winning the lottery!
Question
Suppose you're trying to figure out your chances of winning the lottery. The specific lottery you're interested in has 49 balls, each showing a single number. To win the jackpot you need to match 6 balls to win (note that order does not matter).
What is the probability that you can win the jackpot, given you buy 1 ticket? What if you buy 3 lottery tickets (all with unique combinations of numbers)?