Quote: MathExtremistIf the monkey chooses randomly (and happens not to show you a car), switching or not doesn't matter. But if the monkey acts like Monty -- that is, it will always show you the goat because it knows where the car is and, under the rules, can't show it to you -- then you should always switch.
Not saying you're wrong so dont jump on me. I have read on other forums from a few math 'experts' that say you ARE suppose to switch doors. The question was geared around NO HUMAN interaction.
Ken
Ken
http://en.wikipedia.org/wiki/Monty_Hall_problem#Other_host_behaviors
The key is that i know where the prize is and only open the doors without the prize. Hope this helps.
Quote: AceCrAAckers99% chance it is behind door 25 and only 1 % chance it is behind door x.
The key is that i know where the prize is and only open the doors without the prize. Hope this helps.
Most people understand it immediately if you make it 1000 doors.
What they get hung up on is the size of the sample, 3 doors. When
you greatly increase the sample, a child can understand it.
1 - Monty Hall knew where the car was hidden.
2 - He did not always open a door and give the option to choose.
3 - He wanted want to avoid giving away the car.
As such, it was very rare for him to give you the option to switch, unless you already had selected the car.
A discussion of this was initiated here:
http://wizardofvegas.com/forum/off-topic/general/4396-the-monty-hall-paradox-interview-with-monty-hall/
It includes a link to an article which includes an interview with Monty Hall himself.
Quote: odiousgambitwow, I just noticed the prior unappreciated-genius-in-residence of this website could not get the monty hall paradox!! That does surprise me as whatever else you wanted to think about mkl654321 he was at least fairly smart, and very good at chess.
Its called an adult asking a question and then getting feedback. The only thing that DOES surprise me are foul comments and I did mention, I have read contradicting answers from other boards.
Ken
Quote: DJTeddyBearYou're all forgetting three very important points:
1 - Monty Hall knew where the car was hidden.
2 - He did not always open a door and give the option to choose.
3 - He wanted want to avoid giving away the car.
As such, it was very rare for him to give you the option to switch, unless you already had selected the car.
A discussion of this was initiated here:
http://wizardofvegas.com/forum/off-topic/general/4396-the-monty-hall-paradox-interview-with-monty-hall/
It includes a link to an article which includes an interview with Monty Hall himself.
Thank you for the reply. I am mainly interested in the answer with NO human interaction, which I guess I got.
Ken
That's fine, but remember one thing:Quote: mrjjjThank you for the reply. I am mainly interested in the answer with NO human interaction, which I guess I got.Quote: DJTeddyBearhttp://wizardofvegas.com/forum/off-topic/general/4396-the-monty-hall-paradox-interview-with-monty-hall/
It includes a link to an article which includes an interview with Monty Hall himself.
It's difficult / impossible to set up this problem without human interaction.
FYI: In the interview, Monty agrees with the math, but also explains why the math is meaningless.