The Curious Incident of the Dog in the Night-time

What does Christopher use to prove Mr. Jeavons wrong? Why does Christopher think Mr. Jeavons is wrong?

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Christopher uses The Monty Hall Problem to prove Mr. Jeavons is wrong. This references a famous American game show Let's make a Deal. Chris uses probabilities: the given probabilities depend on specific assumptions about how the host and contestant choose their doors. He uses the same formula for Mr. Jeavons.