The Monty Hall Problem

Monty Hall, yeah yeah, but with me. It's a mathematical curiosity and, in general, maths is intuitive - an important statement which we cut out of the video.

Category:

Education

Tags:

• maths
• math
• mathematics
• problem
• puzzle
• monty
• hall

[ThisIsMyAltAccount]

@swcomer I believe he does mean Deal or No Deal, as he's talking about a situation where you can accidentally reveal the prize, the million dollars. Unlike in this problem, when you have two cases left in DOND, the chances are genuinely 50% each, because there was no rigging by the host.

[jrw97]

I remember reading an article from our textbook in 8th grade over this. I was the only one in my class who understood it. People can be so stubborn XD

[genstian]

Mythbusters did this one too.

[SteDeRaver]

Amazing! I subbed so hard.

[swcomer]

At 4;25, The name of the gameshow was Let's Make a Deal, not Deal Or No Deal. Deal Or No Deal is a different show.

[BUFFALOEOX]

Best explanation on the interwebs !

[robbie4128]

Mythbuster did it!!! it works! ALWAYS SWITCH

[andrewburbidge]

By the way, that was 321 characters. I was thinking that a lot of words, different explanations and different ways of expressing things can get in the way. It was a lot of work for 321 characters but it is often a kind of effort that is well spent.

[andrewburbidge]

This explanation might help some to see it.

Considering mathematical probability and real objects:

"From the first choosing, there is a 2 in 3 probability that the 'right' object was not chosen. The 'right' object is still present at the second choosing. Where it was not chosen before, it is now chosen by switching. So for the whole exercise there is a 2 in 3 probability of obtaining the 'right' object by switching."

Can anyone make a satisfactory, shorter explanation from this or otherwise?

[zebase]

This is by far the best explanation I've seen, thank you for this. I'm convinced.