diff --git a/README.md b/README.md index 0b981a3..d2ecad6 100644 --- a/README.md +++ b/README.md @@ -1,16 +1,43 @@ # Monty Hall Stats Calculate the stats of the Monty Hall problem. +## What is the Monty Hall problem? +> Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice? +- [Wikipedia](https://en.wikipedia.org/wiki/Monty_Hall_problem) + +Your intuition might say there would be no reason to switch the doors since the odds should be 1/2 of recieving the car since there would only be 2 doors left, but that assumption would be wrong as the chance is actually locked in at the begining of the game, so keeping the door would result in a 1/3 chance of recieving the car, while switching the door results in a 2/3 chance of winning the car. + ## Config Parameters to change -in the main function there is 2 variables that can be changed to change the outcome of the game +In the begining of the main function 2 variables are present, defining the outcome of the game -`switchDoor` and `gamesToPlay` +Those are `switchDoor` and `gamesToPlay` Change switchDoor to false, if you don't want to switch doors and change gamesToPlay to if you want to play it a diffrent amount of games each time. ## Running -To run the program you need to have go installed, and you can simply run `go run .` in the project directory. +To run the program you need to have go installed, and then simply run `go run .` in your prefered command line inside the project directory. + +## Output +To save you the time of actually running this i will present the outputs of 2 runs of the program with 1000000 games played in each run below + +If I chose to keep the original door +``` +In 100000 games +Games won: 22263 +Games lost: 77737 +This gave you an average of 22.26% percent chance of winning if you kept the original door +``` + +If i chose to switch doors +``` +In 100000 games +Games won: 66624 +Games lost: 33376 +This gave you an average of 66.62% percent chance of winning if you switched the door +``` + +