Machine Learning for Lotteries

Here's some quick background for readers who are not familiar with lotteries. In the games I studied, the lottery draws 5 or 6 distinct numbers from a set of about 40 integers, and the order in which the numbers are drawn has no effect on prize amounts. For example, New Jersey Cash 5 draws 5 numbers from 1 to 43. The set from which the numbers are selected is called a "matrix" (not to be confused with the mathematical object with the same name). The Cash 5 games have several hundred thousand possible outcomes, and the Oregon game has about 12 million outcomes.