Room for ChanceThe science of chance

Free interactive tool

Overdue Number and Waiting Time Calculator

Calculate absence probabilities and waiting-time expectations for one prespecified lottery label.

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 Overdue Lottery Numbers More Likely to Be Drawn? explains the derivation and common interpretation errors. Compare it with the published How long can one number stay absent? A million complete waits.

Exact survival curve (43/49)^d for one prespecified label. The vertical axis is logarithmic. This is a model curve, not observed lottery data; the linked experiment separately samples one million complete waits.
Figure 1. Exact survival curve (43/49)^d for one prespecified label. The vertical axis is logarithmic. This is a model curve, not observed lottery data; the linked experiment separately samples one million complete waits.
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