EXAMPLE 3.3.9

What is the probability of winning the Florida Lotto with one ticket?

SOLUTION

In order to win the Lotto you need to match the correct six-number combination, with the six numbers choose from the set of numbers 1 through 53. The number of different outcomes is C(53, 6) = 22,957,480.

Since there are 22,957,480 possible outcomes and exactly one of them is the winner:

P(winning) = 1/22,957,480