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Monty Hall problem: Difference between revisions
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=={{header|ColdFusion}}==
<lang cfm><cfscript>
<cfscript>▼
▲ function runmontyhall(num_tests) {
▲ // number of wins when player switches after original selection
▲ switch_wins = 0;
▲ // number of wins when players "sticks" with original selection
▲ stick_wins = 0;
▲ // run all the tests
▲ for(i=1;i<=num_tests;i++) {
▲ // unconditioned potential for selection of each door
▲ doors = [0,0,0];
▲ // winning door is randomly assigned...
▲ winner = randrange(1,3);
▲ // ...and actualized in the array of real doors
▲ doors[winner] = 1;
▲ // player chooses one of three doors
▲ choice = randrange(1,3);
▲ do {
▲ // monty randomly reveals a door...
}
▲ shown = randrange(1,3);
// he will not reveal the door that the player has choosen
▲ // ...but monty only reveals empty doors;
▲ while(shown==choice || doors[shown]==1);
▲ // when the door the player originally selected is the winner, the "stick" option gains a point
// to calculate the number of times the player would have won with a "switch", subtract the
▲ stick_wins += doors[choice];
// have won by switching, so the value is 1-0=1
// finally, simply run the percentages for each outcome▼
stick_percentage = (stick_wins/num_tests)*100;▼
switch_percentage = (switch_wins/num_tests)*100;▼
writeoutput('Number of Tests: ' & num_tests);▼
writeoutput('<br />Stick Wins: ' & stick_wins & ' ['& stick_percentage &'%]');▼
writeoutput('<br />Switch Wins: ' & switch_wins & ' ['& switch_percentage &'%]');▼
}
runmontyhall(10000);▼
}
▲</cfscript></lang>
Output:
<pre>
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