Monty Hall problem: Difference between revisions
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{{FormulaeEntry|page=https://formulae.org/?script=examples/Monty_Hall_problem}}
'''Solution'''
The following program makes a given number of simulations. On each, three options are evaluated:
* If the player keeps his/her selection
* If the player randomly chooses between hs/her selection and the other (closed) door.
* If the player switches his/her selection
Finally, it shows the number of wins for each case.
[[File:Fōrmulæ - Monty Hall problem 01.png]]
[[File:Fōrmulæ - Monty Hall problem 02.png]]
[[File:Fōrmulæ - Monty Hall problem 03.png]]
It can be seen that:
* If the player keeps his/her selection, he/she wins around 1/3 of times
* If the player randomly chooses between his/her selection and the other (closed) door, he/she wins around 1/2 of times
* If the player switches his/her selection, he/she wins around 2/3 of times
The following variation shows the evolution of the probabilities for each case:
[[File:Fōrmulæ - Monty Hall problem 04.png]]
[[File:Fōrmulæ - Monty Hall problem 05.png]]
[[File:Fōrmulæ - Monty Hall problem 06.png]]
=={{header|Go}}==
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