Edit in JSFiddle

var myApp = angular.module('myApp',[]);

//myApp.directive('myDirective', function() {});
//myApp.factory('myService', function() {});

function MyCtrl($scope) {
  $scope.number_of_sticks = 4;
  $scope.iterations = 1000000;
    
  $scope.winners = [];
  $scope.stats = [];
  $scope.deviation= [];
  $scope.average = 0;
    
  $scope.getSticks = function(size)
  {
    var sticks = [];
    var loser = Math.floor((Math.random()*size));
    for(var i = 0; i < size; i++) sticks[i] = 0;
    sticks[loser] = 1;
    return sticks;
  };

  $scope.play = function(size)
  {
    var sticks = $scope.getSticks(size);
    for(var i = 0; i < sticks.length; i++)
      if(typeof $scope.winners[i] === 'undefined')
        $scope.winners[i] = sticks[i];
      else
        $scope.winners[i] = $scope.winners[i] + sticks[i];
  };
    
  for(var i = 0; i < $scope.iterations; i++)
    $scope.play($scope.number_of_sticks);


  for(var i = 0; i < $scope.number_of_sticks; i++) {
    $scope.stats[i] = $scope.winners[i] / $scope.iterations;
      $scope.average += $scope.stats[i];
    }
    
    $scope.average = $scope.average / $scope.number_of_sticks;
    
  for(var i = 0; i < $scope.number_of_sticks; i++)
      $scope.deviation[i] = Math.round(($scope.average - $scope.stats[i]) * 100);

}

<div ng-controller="MyCtrl">
    <h3>Winners</h3>
    <div>{{ winners | json }}</div>

    <h3>Stats</h3>    
    <div>{{ stats | json }}</div>
    
    <div>Mean is: {{average}}</div>
    
    <h3>Deviation</h3>
    <div>{{deviation}}</div>
</div>

/*  $scope.getSticks = function(size)
  {
    var sticks = [];
    var loser = Math.floor((Math.random()*size));
    for(var i = 0; i < size; i++) sticks[i] = 0;
    sticks[loser] = 1;
    return sticks;
  };

  $scope.play = function(size)
  {
    var sticks = $scope.getSticks(size);
    for(var i = 0; i < sticks.length; i++)
      if(typeof $scope.winners[i] === 'undefined')
        $scope.winners[i] = sticks[i];
      else
        $scope.winners[i] = sticks[i];        
  };

  $scope.winners = $scope.getSticks(6);

  for(var i = 0; i < 1000; i++)
    $scope.play(6);
*/