Probability of matching at least one number in lotto If you buy one lotto ticket, what is the theoretical probability of matching at least one of your numbers? In this lotto you pick 6 numbers between 1 and 49. How do I go about finding this?

The chance to match at least one number is the complement of matching none of the numbers.

There are $\binom {49-6}{6}$ possibilities to match none out of a total of $\binom {49}{6}$ possibilities.

Therefore the probability to match at least one is: $$1 - \frac{\binom {49-6}{6}}{\binom {49}{6}}$$