GeneralSolvesv1

Switching doors wins two thirds of Monty Hall games

The host’s informed reveal transfers the original two-door probability to the remaining closed door.

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Output
Switching wins with probability two thirds
Input
Three doors, one prize, an initial choice and a host who always reveals a goat
Relationship

What connects the input and output?

The first choice has probability one third of being correct. The other two doors jointly hold probability two thirds; after the host deliberately removes a losing one, that probability remains with the only other closed door.

Sources

1
  1. en.wikipedia.org: Switching doors wins two thirds of Monty Hall gamesen.wikipedia.orgCC-BY-SA-4.0

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