MonthHalll.scala

import scala.util.Random

object MonthHall extends App {

  val numberOfIterations = 1000000

  val numberOfWins = (0 until numberOfIterations).count(_ => {
    val winningDoor = Random.nextInt(3)
    val chosenDoor = Random.nextInt(3)

    val openedDoor = chosenDoor - winningDoor match {
      case 0 => (Random.nextInt(2) + 1 + winningDoor) % 3
      case _ => (0 until 3).filter(i => i != winningDoor && i != chosenDoor)(0)
    }
    val switchedDoor = (0 until 3).filter(i => i != chosenDoor && i != openedDoor)(0)
    switchedDoor == winningDoor
  })

  val percentageOfWins: Double = numberOfWins * 1.0 / numberOfIterations * 100
  print("Switching makes you win : " + percentageOfWins + "% of the time!" )

}