A Probability Puzzle: Finding 1000P

There are three outcomes to a chess game, winning, losing or a draw. And if you and I were playing against each other, me winning the game means you lose the game, vice versa.

Today’s puzzle asks us to find the value of 1000P, where P is the probability that neither Rachel nor Steven is the champion after at most 3 games

Here’s a hint: think systematically …

I recommend you pause the article, grab your pen and paper, and give this a go. When you are ready, keep reading for the solution! 

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