Monty Hall problem: Difference between revisions
→{{header|IS-BASIC}}
(→{{header|BASIC}}: Added Minimal BASIC.) |
|||
| (5 intermediate revisions by 4 users not shown) | |||
Line 651:
Switching wins 6697 times.
Staying wins 3303 times.
</pre>
==={{header|FreeBASIC}}===
<syntaxhighlight lang="freebasic">
' version 19-01-2019
' compile with: fbc -s console
Const As Integer max = 1000000
Randomize Timer
Dim As UInteger i, car_door, chosen_door, montys_door, stay, switch
For i = 1 To max
car_door = Fix(Rnd * 3) + 1
chosen_door = Fix(Rnd * 3) + 1
If car_door <> chosen_door Then
montys_door = 6 - car_door - chosen_door
Else
Do
montys_door = Fix(Rnd * 3) + 1
Loop Until montys_door <> car_door
End If
'Print car_door,chosen_door,montys_door
' stay
If car_door = chosen_door Then stay += 1
' switch
If car_door = 6 - montys_door - chosen_door Then switch +=1
Next
Print Using "If you stick to your choice, you have a ##.## percent" _
+ " chance to win"; stay / max * 100
Print Using "If you switched, you have a ##.## percent chance to win"; _
switch / max * 100
' empty keyboard buffer
While InKey <> "" : Wend
Print : Print "hit any key to end program"
Sleep
End
</syntaxhighlight>
{{out}}
<pre>
If you stick to your choice, you have a 33.32 percent chance to win
If you switched, you have a 66.68 percent chance to win
</pre>
=={{header|FutureBasic}}==
Translated from ANSI BASIC
<syntaxhighlight lang="futurebasic">
// Monty Hall problem
// May 2024 - Rich Love
local fn IsGameWon(Sw as int) as bool
REM Play one game.
REM Switching if and only if Sw <> 0.
REM Returns 1 if the game is won, 0 otherwise.
short Car = INT(RND(3)) //Randomly place car behind a door.
short Player0 = INT(RND(3)) // Player randomly chooses a door.
short Monty
short IsGameWon
short Player
DO
Monty = INT(RND(3)) // Monty opens door revealing a goat.
UNTIL (Monty <> Car) AND (Monty <> Player0)
380
IF Sw <> 0 // Player switches TO remaining door.
DO
Player = INT(RND(3))
UNTIL (Player <> Player0) AND (Player <> Monty)
Monty = INT(RND(3))
ELSE
Player = Player0 // Player sticks with original door.
END IF
IF Player = Car
IsGameWon = 1
ELSE
IsGameWon = 0
END IF
END fn = IsgameWon
_NGames = 10000
float NWins = 0
short Game
FOR Game = 0 TO _NGames
IF fn IsGameWon(0) <> 0 THEN NWins = NWins + 1
NEXT Game
PRINT "NOT switching doors wins car in ";
PRINT USING "##.##" ; NWins / 100 ;
PRINT " % of games."
NWins = 0
FOR Game = 0 TO _NGames
IF fn IsGameWon(1) <> 0 THEN NWins = NWins + 1
NEXT Game
PRINT "But switching doors wins car in ";
PRINT USING "##.##" ; NWins / _NGames * 100;
PRINT " % of games."
handleevents
</syntaxhighlight>
{{output}}
<pre>
NOT switching doors wins car in 33.48% of games.
But switching doors wins car in 67.15% of games.
</pre>
Line 880 ⟶ 995:
==={{header|True BASIC}}===
<syntaxhighlight lang="
DIM puertas(3)
LET numTiradas = 1000000
FOR i =
LET pta_coche = INT(RND * 3) + 1
LET puertas(pta_coche) = 1
LET pta_elegida = INT(RND * 3) + 1
DO
LET pta_montys =
LOOP WHILE puertas(pta_montys) = 1 OR pta_montys = pta_elegida
IF puertas(pta_elegida) = 1 THEN
LET cambia = cambia + 1
ELSE
LET permanece = permanece + 1
END IF
LET puertas(pta_coche) = 0
NEXT i
PRINT "Cambiar gana el"; permanece / numTiradas * 100; "% de las veces."
PRINT "Mantenerse gana el"; cambia / numTiradas * 100; "% de las veces."
END</syntaxhighlight>
==={{header|Yabasic}}===
Line 3,021 ⟶ 3,136:
(0.33241,0.66759)
</pre>
=={{header|K}}==
<syntaxhighlight lang="k">
montyhall:{t:,/ 1_ x {`prng@`t[];ch:1?3;pr:1?3;sw:1?2;$[sw;a:ch=pr;a:~(ch=pr)];a}\0N;("KEEP %";(+/t)%x;"SWAP %";(+/~t)%x)}
montyhall 100000
</syntaxhighlight>
=={{header|Kotlin}}==
Line 4,655 ⟶ 4,776:
Staying wins 3346 times
</pre>
=={{header|SETL}}==
<syntaxhighlight lang="setl">program monty_hall;
setrandom(0);
n_simulations := 100000;
print('Chance to win:');
print('When switching doors:', win_chance(true, n_simulations) * 100, '%');
print('When not switching doors:', win_chance(false, n_simulations) * 100, '%');
proc win_chance(switch, n_simulations);
wins := 0;
loop for i in [1..n_simulations] do
wins +:= if simulate(switch) then 1 else 0 end;
end loop;
return wins / n_simulations;
end proc;
proc simulate(switch);
doors := {1, 2, 3};
car := random doors;
goats := doors less car;
choice := random doors;
opened := random (goats less choice);
if switch then
choice := arb (doors less choice less opened);
end if;
return choice = car;
end proc;
end program;</syntaxhighlight>
{{out}}
<pre>Chance to win:
When switching doors: 66.584 %
When not switching doors: 33.093 %</pre>
=={{header|Sidef}}==
| |||