User:SPACKlick/Monty Hall Problem(draft): Difference between revisions

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The behavior of the host is key to the 2/3 solution. Ambiguities in the "Parade" version do not explicitly define the protocol of the host. However Marilyn vos Savant's ({{Harvnb|vos Savant|1990a}}) solution printed alongside Whitaker's question implies and both {{Harvtxt|Selvin|1975a}} and {{Harvtxt|vos Savant|1991a}} explicitly define the role of the host as follows
# the host must always open a door that was not picked by the contestant ([[#refMueserandGranberg1999|Mueser and Granberg 1999]]),
# the host must always open a door to reveal a goat and never the car ([[#refAdams1990|Adams 1990]])
# the host must always offer the chance to switch between the originally chosen door and the remaining closed door