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Puzzles & Challenges 18 Online
Vocaloid:

Monty Hall Problem (for dude)

Vocaloid:

@dude

Vocaloid:

You're on a game show. There are three doors (two of them have a goat, one of them has a car). The host asks you to pick a door. Then, the host picks one of the OTHER two doors and reveals a goat. You have two choices, now. You can stay on your door, or switch to the un-opened door. What should you do?

Vocaloid:

@Bearclaws72

Vocaloid:

have fun guys

Bearclaws72:

hmmmmmmm

Vocaloid:

|dw:1507596309092:dw|

Bearclaws72:

I stay

Vocaloid:

why?

Bearclaws72:

You know what I switch

Vocaloid:

ok, but why?

Bearclaws72:

To the middle

dude:

Yea i would go to the middle

Vocaloid:

just curious - what's your guys' reasoning?

Bearclaws72:

Well Im a lucky guy but honestly think of it theres a goat behind a random door meaning theres a 1/3 chance of you picking the right door

Bearclaws72:

And most of the game show hosts try to trick you so idk maybe he wanted to throw me off

Vocaloid:

you're on the right track with the 1/3 thing

dude:

You capitalized other, thats why x'D

Vocaloid:

lol

Vocaloid:

keep in mind that the host always opens a goat door

dude:

Aren your chances 50-50 though?

Vocaloid:

not 50-50 (that's a common misconception!)

dude:

oh ;-;

Vocaloid:

you guys are getting there

Vocaloid:

there's two possible scenarios: you pick a car door on the first try (1/3) or you don't (2/3)

Vocaloid:

if you picked the car first, then switching always results in a loss if you pick the goat first, then switching always results in a win

Vocaloid:

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Vocaloid:

|dw:1507596881592:dw|

Vocaloid:

there's a 1/3 chance of the first scenario happening there's a 2/3 chance of the second scenario happening so switching wins 2/3 of the time

Vocaloid:

what's interesting about this problem, is that the host gives you valuable information that increases your chances of winning if you switch if a random person were to walk in right after the host opens the door, then that random person only has a 50-50 chance of picking the right door

dude:

I think i sort of get it

563blackghost:

I remember this, it was actually used in a movie called Blackjack XD

563blackghost:

Oh wait no it's called 21....

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