Room for ChanceThe science of chance

Free interactive tool

Multiple Lottery Lines Probability Calculator

Compare distinct complete lines in one draw with repeated independent draws, using stable probability arithmetic.

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

Do More Lottery Tickets Increase Your Odds? The Exact Mathematics explains the derivation and common interpretation errors. Compare it with the published Why any repeat arrives sooner than one chosen repeat.

Exact collision curve for 10,000 equally likely outcomes; points show results from 10,000 independent sequences. This is a reduced model of any repeated outcome, not the return time of one chosen lottery line.
Figure 1. Exact collision curve for 10,000 equally likely outcomes; points show results from 10,000 independent sequences. This is a reduced model of any repeated outcome, not the return time of one chosen lottery line.
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