Science collection

Number choices and common myths

Examine hot numbers, overdue claims, AI predictions and human preferences using explicit models and research.

Start with The Gambler’s Fallacy: Why a Number Does Not Become Due, then follow the questions below. Each guide includes a worked explanation, a figure and routes to an experiment or calculator.

A mathematical explanation of the gambler’s fallacy, separating an unlikely past streak from the unchanged probability of the next independent event.

Number choices and common myths

Why birthday selections have equal draw odds but may concentrate player choices, and why that does not establish a guaranteed financial advantage.

Number choices and common myths

Calculate the probability of long absences, understand geometric waiting times, and distinguish a fixed number from the most overdue number.

Number choices and common myths

Why machine learning cannot extract a predictive signal from independent fair draws, and how to evaluate extraordinary prediction claims.

Number choices and common myths

Examine hot and cold selection rules using conditional probability and an original experiment with separate training and test draws.

Number choices and common myths

Compare Quick Pick, Lucky Dip and personal selections while separating draw probability, winner counts and possible prize sharing.

Number choices and common myths

Why evidence about human sporting streaks cannot be transferred to independent lottery draws, and how selection bias complicates streak analysis.

Number choices and common myths

Explore the difference between human selection and uniform sampling, with research on number preferences and a measurable coin-sequence example.