def rand_outcome(num_games=15)
     o = Array.new(num_games,0)
     for i in 0..num_games
        o[i] = rand(2)
     end
     return o
  end

  def round_eliminated(team,outcome)
     elim = 0
     w = winners[outcome]
     for round in 0..3
        elim = elim+1 if w[ggn(team,round)] == team
     end
     return elim
  end

  def advanced_further(team1,team2, outcome)
     return round_eliminated(team1,outcome) > round_eliminated(team2,outcome)
  end