Room for ChanceThe science of chance

Free interactive tool

Odd and Even Lottery Probability Calculator

Explore every odd/even category with exact combination counts and an accessible distribution table.

Inputs and results stay in this page. These tools set no cookies, save no browser preferences and send no input data to our server. A CSV downloads only when you request it. Displayed probabilities are rounded; combination counts use exact integer arithmetic.

Understand the result

Are Balanced Lottery Numbers Better? Odd and Even Categories Explained explains the derivation and common interpretation errors. Compare it with the published Balanced groups, equal tickets: the odd–even experiment.

Observed and exact expected counts for every odd-count category in 1,000,000 synthetic 6/49 draws. The pool contains 25 odd and 24 even labels. A category is a collection of individually equiprobable sets.
Figure 1. Observed and exact expected counts for every odd-count category in 1,000,000 synthetic 6/49 draws. The pool contains 25 odd and 24 even labels. A category is a collection of individually equiprobable sets.
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