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Win a car! But, first...

Win a car! But, first...

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Suppose you're on a game show, and you're given the choice of
three doors: Behind one door is a car; behind the others, goats.
You pick a door, say No. 1, and the host, who knows what's behind
the doors, opens another door, say No. 3, which has a goat. He then
says to you, "Do you want to pick door No. 2?" Is it to your advantage
to switch your choice?

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Originally posted by Seitse
Suppose you're on a game show, and you're given the choice of
three doors: Behind one door is a car; behind the others, goats.
You pick a door, say No. 1, and the host, who knows what's behind
the doors, opens another door, say No. 3, which has a goat. He then
says to you, "Do you want to pick door No. 2?" Is it to your advantage
to switch your choice?
Yeah I've seen this puzzler before, your odds are better if you switch, whether it's three doors or a million.

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Originally posted by Seitse
Suppose you're on a game show, and you're given the choice of
three doors: Behind one door is a car; behind the others, goats.
You pick a door, say No. 1, and the host, who knows what's behind
the doors, opens another door, say No. 3, which has a goat. He then
says to you, "Do you want to pick door No. 2?" Is it to your advantage
to switch your choice?
Switch doors.
It's the Monty Hall Problem

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Originally posted by Seitse
Suppose you're on a game show, and you're given the choice of
three doors: Behind one door is a car; behind the others, goats.
You pick a door, say No. 1, and the host, who knows what's behind
the doors, opens another door, say No. 3, which has a goat. He then
says to you, "Do you want to pick door No. 2?" Is it to your advantage
to switch your choice?
You really do need to get out more.

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Originally posted by Seitse
Suppose you're on a game show, and you're given the choice of
three doors: Behind one door is a car; behind the others, goats.
You pick a door, say No. 1, and the host, who knows what's behind
the doors, opens another door, say No. 3, which has a goat. He then
says to you, "Do you want to pick door No. 2?" Is it to your advantage
to switch your choice?
Why did he open door #3 when I specifically requested door #1? 😠

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Originally posted by HandyAndy
Switch doors. [hidden]It's the Monty Hall Problem[/hidden]
Indeed. I found it more fun than its predecessor, the box paradox.

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Originally posted by sonhouse
You really do need to get out more.
I said the same to the warden but he responded that I was still a danger to society.

Go figure.

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Originally posted by Seitse
Suppose you're on a game show, and you're given the choice of
three doors: Behind one door is a car; behind the others, goats.
You pick a door, say No. 1, and the host, who knows what's behind
the doors, opens another door, say No. 3, which has a goat. He then
says to you, "Do you want to pick door No. 2?" Is it to your advantage
to switch your choice?
All three doors are a win. Before your choice you had nothing.

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Originally posted by Kegge
All three doors are a win. Before your choice you had nothing.
I can see you spending your day singing the LEGO movie theme "Everything is Awesome!"

Oh, wait, no, I can't.

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Originally posted by Seitse
Suppose you're on a game show, and you're given the choice of
three doors: Behind one door is a car; behind the others, goats.
You pick a door, say No. 1, and the host, who knows what's behind
the doors, opens another door, say No. 3, which has a goat. He then
says to you, "Do you want to pick door No. 2?" Is it to your advantage
to switch your choice?
No.
You have more chance of winning the goat if you stay put.