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Welcome to The Final Wager

“Keith Williams ruined everything.”

Daily analysis

Friday's recap

This Day in History

October 4, 1883

Fact Primers

Tennis Grand Slam

By the Numbers

'Close' games


Arthur Chu vs. Alex Jacob

Arthur Chu Alex Jacob front

How to Wager

The basics

The Final Wager calculator screencap

Game theory

Mixed strategies

Mixed-strategy Nash equilibria Slide 12

The backstory

Why this? Why now?

Keith semifinal

Media appearances


Keith Arthur CNBC

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