Monty Hall game show

What it does
Monty Hall game show
is based on a puzzle that first appeared when the following seemingly simple question was published in the “Ask Marilyn" question-and-answer column of the US magazine Parade, in 1990.

Suppose you are on a game show and you are given the choice of 3 doors. Behind one door is a car, behind the others, goats. You pick a door, say number 1, and the host, who knows what is behind each door, opens one of the other doors, say number 3, which has a goat behind it. He says to you, “Do you want to stick to your first choice (Door 1) or switch to Door 2? Is it to your advantage to switch your choice of doors?

As presented here, the two dud prizes are rubber ducks (rather than goats) and the winning prize is a box of treasure (rather than a car).

How to use it
Monty Hall game show is opened, click on your first choice of door. A second door opens revealing one of the two rubber ducks. You must now decide whether to “stick" (by clicking again on your first choice of door) or “switch" (by clicking on the other unopened door).

Strategies: try different strategies – for example try always sticking, always switching, alternating the stick/switch strategy, etc.

Extensions: try increasing the number of doors (up to a maximum of 9).

What do you conclude about the best strategy–stick or switch?

Screenshot of Monty Hall game show

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Watch a movie showing this applet in action:
Monty Hall

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Monty Hall game show