Suppose youre on a game show, and youre given the choice. In this video i go over how to prove the monty hall problem using the monte carlo method in a matlab simulation. The classic monty hall lets make a deal final showcase puzzle pits the contestant against three doors. So what better way to cut through the debate than show results. The problem was originally posed in a letter by steve selvin to the american.
Play the monty hall game or run the simulation many times to better understand one of the most famous math riddles. Monty hall paradox simulation file exchange matlab central. Simulate n rounds of monty hall problem with a variable number of doors. Simulating the monty hall problem with matlab andrew cross. Contribute to papas8105montyhall development by creating an account on github. My matlab simulation shows that the monty hall probabilites are different why. Monty hall in matlab download free open source matlab toolbox. Monty hall problem using the monte carlo method in matlab. The monty hall problem is a wellknown puzzle in probability derived from an american game show, lets make a deal. The monty hall problem is a brain teaser, in the form of a probability puzzle gruber, krauss and. I was familiar with the problem, as well as its solution, but i realized i couldnt explain it very well.
I needed a handson approach to understand the probability behind the monty hall paradox. Show final winloss tally and estimated probability detail1. No one else was able to explain it either, so i decided to write a simulation. You may receive emails, depending on your notification preferences. This is monty hall problem, and we know that a switching strategy really does win two out of three times on the average. The monty hall problem is a brain teaser, in the form of a probability puzzle gruber, krauss and others, loosely based on the american television game show lets make a deal and named after its original host, monty hall.
The monty hall problem is a veridical paradox, which produces a result that appears absurd but is demonstrated to be true nevertheless, to quote wikipedia. Behind one door are dream prizes and behind the other two are donkeys and chickens. Prove of monty hall problem file exchange matlab central. Id hoped that writing the code would better help me intuitively understand the problem. Use matlab to simulate the monty hall problem, and gain an understanding of exactly how the problem actually works. I recently had a conversation involving the infamous monty hall problem. Shows winloss chart and estimated probability at end detail2.
The premise is loosely based on the television show lets make a deal. It is the best course ever that i took on courseraand in my life. Shows results for each round the monty hall problem is a probability puzzle based on the american. The following matlab project contains the source code and matlab examples used for monty hall.
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