my_course_of_action=:switch
games_to_play=100000
success=0

games_to_play.times do
	doors=[0,0,0]
	doors[rand(3)]=1
	
	my_choice=rand(3)
	monty_possible_doors=[0,1,2]-[my_choice]-[doors.index(1)]
	monty_choice=monty_possible_doors[rand(monty_possible_doors.length)]
	remaining_choice=3-my_choice-monty_choice

	case (my_course_of_action)
		when :switch: 	new_choice=remaining_choice
		when :stay:	new_choice=my_choice
		when :random:	new_choice=(rand(2)==0) ? (my_choice) : (remaining_choice)
	end
	
	success+=1 if doors[new_choice]==1
end

puts "Win/Play ratio for course of action of #{my_course_of_action}: #{success.to_f / games_to_play}"