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Title	Monty Hall Bruteforced
ID	5525970697764864
Created	7 months ago, 1716578864880
Updated	7 months ago, 1716578864506
Code	/ a bruteforce "proof" of the monty hall problem's solution. https://www.khanacademy.org/math/statistics-probability/probability-library/basic-theoretical-probability/v/monty-hall-problem errors(less than 1%) are probably due to the nature of randomly generated numbers since computers cant do that well. but mathematically the switch strategy is at 66.6666...% win rate / //returns a random whole number from 0 up to the provided parameter function rand(upTo) { return Math.floor(random(upTo)); } //runs the game given the strategy: willStay or not? function run(willStay) { //initalize the doors. the value for each index is whether the door has the prize var doors = [false, false, false]; //chose 1 of the 3 doors to give the prize to doors[rand(3)] = true; //now chose a random door var chosen = rand(3); //this is a list of empty doors that arent chosen var possibleDoorsThatCanBeRevealed = []; //check the 3 doors and if they fit the conditions, fill the list for (var i = 0; i < 3; i++) { if (!doors[i] && chosen !== i) { //push the door to the list possibleDoorsThatCanBeRevealed.push(i); } } //the list now contains 1 or 2 indicies of doors that may be revealed. chose a random one to reveal var revealableDoors = possibleDoorsThatCanBeRevealed.length; var revealed = possibleDoorsThatCanBeRevealed[rand(revealableDoors)]; //find the last door(the one not chosen and not revealed) var finalDoor; for (var i = 0; i < 3; i++) { if (i !== chosen && i !== revealed) { finalDoor = i; } } //create the index of the final decision door var decision; //which one? if (willStay) { decision = chosen; } else { decision = finalDoor; } //return if the decision door has the prize return doors[decision]; } var stayWins = 0; var switchWins = 0; var totalTests = 0; fill(0); textFont(createFont('comic sans ms')); textSize(25); draw = function() { //run the test multiple times per frame to converge the results for (var i = 0; i < 100; i++) { //run the games var stayGame = run(true); var switchGame = run(false); //validate and count the wins if (stayGame) { stayWins++; } if (switchGame) { switchWins++; } totalTests++; } background(255); text('Total Tests: ' + totalTests, 90, 50); //calculate and display the win rates for each text('Stay Win Rate: ' + (stayWins * 100 / totalTests).toFixed(2) + '%', 70, 200); text('Switch Win Rate: ' + (switchWins * 100 / totalTests).toFixed(2) + '%', 60, 250); };
Folds
Fork	false
Key	ag5zfmtoYW4tYWNhZGVteXIXCxIKU2NyYXRjaHBhZBiAgOuD9broCQw
Votes	1
Spin-Offs	0
Type	PJS
Width	400
Height	400
User Flagged	false
Origin Scratchpad	null
Hidden From Hotlist	false
Restricted Posting	true
By Child	false
Author Nick	Polca
Author Name	peacefulproperty
Author ID	kaid_8612899682387906327591115
Author Profile Access	COACH

Archive Data

Added	7 months ago, 1716578896562
Updated	7 months ago, 1716578896562
Source Deleted	unknown