LottoHog Math & Probability Analytics

This page walks through the real math behind lottery odds. A built-in combinatorics engine calculates exact ticket odds using the standard combination formula C(n, r) = n! / (r! * (n-r)!), so you can see precisely how many possible number combinations exist for Powerball, Mega Millions, and each state's draw games.

Alongside the odds calculator, LottoHog charts historical draw frequency for each number so you can see which numbers have appeared more or less often in past drawings. Past frequency does not change the odds of a future draw, but it helps show what randomness actually looks like over a large sample of real results.

An AI chat companion on this page can answer descriptive questions about the statistics shown here, such as explaining what a given odds ratio means in plain language.