The Monty Hall Problem Explained

An easy explanation to The Monty Hall Problem.

Produced for Richard Lachman's intermediate digital media class 2009.

Produced, animated, written, voiced, and edited by Khanh Lam

Category:

Education

Tags:

• Math
• Mathematics
• Probability
• Monty
• Hall
• Problem
• Peanut
• Money
• Cash
• Bag

[MedicalChemistry]

I prefer the peanut :)

[axemurderer27]

@MedicalChemistry ...But money can buy you many peanuts. Refer to this video: /watch?v=VQpc0QfBaMc&feature=r­elated

[EmeraldCharizard5353]

wait was it ever really 1/3 chance because no matter what one is a junk door and it is shown to you so then its 50/50 either way?

[axemurderer27]

@EmeraldCharizard5353 no. the notion that a 50/50 odds of winning is an illusion. unless you change doors, the host opening the junk door doesn't change your odds at all. it's the knee-jerk reaction to think it's 50/50 at that point, but it's not. unless you change doors, you remain at 33%.

[CarKid14]

thanks, u just done my maths homework :p lol jk but great explanation but iswear it ws 1 car and 2 goats?

[axemurderer27]

@CarKid14 in the original they used the goat and car and prizes. I used peanuts and cash because of the animation I link to at the end of the video...

[7m8a6k]

when i saw this in 21 i was wtf. Now its explained. Thank you

[andrecheats]

when the fuck in life will knowing this be helpfull?

[TheSadhizta]

for learning purposes, if the HOST doesn't know where teh cash or peanuts are what are the chances that he will pick cash or the peanut. :)

[Mongolia2468]

interesting..is it impossible without swap my first door and win the bag of cash?

[Johnnyradionic]

What if there were TWO contestants and each of these two contestants were ardent mathematicians, both with an innate understanding of the principle behind the Hall paradox. After each choose a door, and the third unchosen door was opened to reveal a zonk, would each of the two players, if given the chance, leap at the opportunity to accept the other fellow's door? (And in this scenario the 2 scholars are rivals who would not agree to sell the car and split the proceeds) Hmm?

~ Johnny Radionic ™

[DGrant1010]

@lightningmunk Then you lose. But there is a 33.3% chance that you will pick the door with the cash. I understand what you are saying. But at the end of the day, the only thing the contestant has on his side is probablity. In perfect conditions, without some sort of behind the scenes BS, you will win the cash 66.6% of the time.

I mean, there could be no cash. They could put a peanut behind all three doors. Lol.

[Heacockfas1138]

@thumm99 when you put it that way, this is the first time this has actually made sense to me

[deathBYpinata]

@axemurderer27 Unfortunatley this is false, after opening a door it completely changes your odds, dont you guys have to take statistics anymore?

[greenninja289]

nice username...