Single Idea 6516

[catalogued under 5. Theory of Logic / L. Paradox / 1. Paradox]

Full Idea

The Monty Hall Dilemma: Three boxes, one with a big prize; pick one to open. Monty Hall then opens one of the other two, which is empty. You may, if you wish, switch from your box to the other unopened box. Should you?

Clarification

Monty Hall ran a real quiz show on United States television

Gist of Idea

Monty Hall Dilemma: do you abandon your preference after Monty eliminates one of the rivals?

Source

PG (Db (ideas) [2031])

Book Reference


A Reaction

The other two boxes, as a pair, are more likely contain the prize than your box. Monty Hall has eliminated one of them for you, so you should choose the other one. Your intuition that the two remaining boxes are equal is incorrect!