Example 7.23: the Monty Hall problem

January 20, 2010
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(This article was first published on SAS and R, and kindly contributed to R-bloggers)

The Monty Hall problem illustrates a simple setting where intuition often leads to a solution different from formal reasoning. The situation is based on the game show Let's Make a Deal. First, Monty puts a prize behind one of three doors. Then the player chooses a door. Next, (without moving the pize) Monty opens an unselected door, revealing that the prize is not behind it. The player may

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