taleb dart problem

results

$ scala TalebDart
Exactly Three
0.1584
Atleast Three
0.1726
Atleast Three no doublecount!
0.1693

TalebDart.scala

import util.Random

object TalebDart extends App {
	case class Dart(x:Double, y:Double)
	
	case class Box(minx:Double, miny:Double) {
		var count = 0

		def inBox(dart:Dart):Boolean = {
			val isin = dart.x >= minx && dart.x <= minx + 0.25 &&
			dart.y >= miny && dart.y <= miny + 0.25
			if (isin) count += 1
			isin
		}

		def hasThreeDarts:Int = if (count == 3) 1 else 0

		def atleastThreeDarts:Int = if (count >= 3) 1 else 0

		def reset = count = 0
	}

	val simulations = 1000*1000*10
	val rnd = new Random()
	var count = 0
	val boxes:List[Box] = List(
		Box(0,0), Box(0.25,0), Box(0.5,0), Box(0.75,0), 
		Box(0,0.25), Box(0.25,0.25), Box(0.5,0.25), Box(0.75,0.25),
		Box(0,0.5), Box(0.25,0.5), Box(0.5,0.5), Box(0.75,0.5),
		Box(0,0.75), Box(0.25,0.75), Box(0.5,0.75), Box(0.75,0.75)
		)

	//////////////////////////////////////////////////////////////////
	count = 0
	println("Exactly Three")
	(1 to simulations).foreach { iter =>
		val darts = (1 to 8).map{ n =>
			Dart(rnd.nextDouble, rnd.nextDouble)
		}
		boxes.foreach{ _.reset }
		boxes.foreach{ box => darts.foreach{ dart => box.inBox(dart)}}
		count += boxes.map{ box => box.hasThreeDarts }.sum
	}

	printf("%.4f\n", count.toDouble/simulations)

	///////////////////////////////////////////////////////////////////
	count = 0
	println("Atleast Three")
	(1 to simulations).foreach { iter =>
		val darts = (1 to 8).map{ n =>
			Dart(rnd.nextDouble, rnd.nextDouble)
		}
		boxes.foreach{ _.reset }
		boxes.foreach{ box => darts.foreach{ dart => box.inBox(dart)}}
		count += boxes.map{ box => box.atleastThreeDarts }.sum
	}

	printf("%.4f\n", count.toDouble/simulations)

	///////////////////////////////////////////////////////////////////
	count = 0
	println("Atleast Three no doublecount!")
	(1 to simulations).foreach { iter =>
		val darts = (1 to 8).map{ n =>
			Dart(rnd.nextDouble, rnd.nextDouble)
		}
		boxes.foreach{ _.reset }
		boxes.foreach{ box => darts.foreach{ dart => box.inBox(dart)}}
		if (boxes.map{ box => box.atleastThreeDarts }.sum > 0)
			count += 1
	}

	printf("%.4f\n", count.toDouble/simulations)

}