Created
May 31, 2018 17:00
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Monty Hall Problem demonstrated in Ruby
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class Game | |
attr_accessor :doors | |
attr_reader :correct_door | |
def initialize(door_count: ) | |
chosen_door = (1..door_count).to_a.sample | |
@doors = door_count.times.map.with_index do |d, i| | |
Door.new(i+1 == chosen_door) | |
end | |
@correct_door = @doors.detect(&:correct?) | |
end | |
def remove_one_door!(not_door: ) | |
removing = @doors.detect { |d| d != not_door && !d.correct? } | |
@doors.delete(removing) | |
end | |
end | |
class Door | |
attr_reader :correct | |
alias correct? correct | |
def initialize(correct) | |
@correct = !!correct | |
end | |
end | |
class Try | |
attr_reader :player | |
attr_reader :game | |
attr_reader :outcome | |
def initialize(player:, game:) | |
@player = player | |
@game = game | |
@outcome = nil | |
end | |
def play! | |
player.make_choice!(game) | |
game.remove_one_door!(not_door: player.chosen_door) | |
player.make_choice!(game) | |
@outcome = game.correct_door == player.chosen_door | |
end | |
def win? | |
outcome == true | |
end | |
end | |
class Player | |
attr_accessor :strategy | |
attr_accessor :chosen_door | |
def initialize(strategy) | |
@strategy = strategy | |
end | |
def make_choice!(game) | |
if chosen_door && strategy == :stick | |
return chosen_door | |
else | |
return @chosen_door = game.doors.sample | |
end | |
end | |
end | |
TIMES_PLAYED = 1_000_000 | |
win_count = 0 | |
TIMES_PLAYED.times do | |
try = Try.new(player: Player.new(:stick), game: Game.new(door_count: 3)) | |
win_count += 1 if try.play! && try.win? | |
end | |
puts "Stick wins: #{win_count} #{Rational(win_count, TIMES_PLAYED).to_f * 100}%" | |
win_count = 0 | |
TIMES_PLAYED.times do | |
try = Try.new(player: Player.new(:switch), game: Game.new(door_count: 3)) | |
win_count += 1 if try.play! && try.win? | |
end | |
puts "Switch wins: #{win_count} #{Rational(win_count, TIMES_PLAYED).to_f * 100}%" |
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Stick wins: 332984 (33.2984%)
Switch wins: 499476 (49.947599999999994%)