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Monty Hall Problem - Numberphile
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Well 'Let's Make a Deal' was a popular
show back in the day; contestants could
go on this game show and maybe go home
with the car of their dreams. First of
all the game show host was a very famous
guy named Monty Hall. And Monty would
come on to the show and he would have
three doors. And a contestant, that's you,
would come on to the show, Monty would
give you the chance to choose door
number 1, door number 2 or door
number 3. Now behind one of those
doors, only one, was your dream flash car.
Bright red, sports car, very fast; it was
awesome. And behind the other two doors
were 'zonks', that was the 'Let's Make a Deal'
word for something that you don't really
want. So you had- looks like a 1 in
3 chance of getting your dream car.
So suppose you pick door number 1; and
Monty would then do the same thing every
week. He would go over to the two doors
you didn't pick, 2 and 3, and he
would open one of them. Let's suppose he
opened door number 2. And the door that
Monty opened would always have behind it
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