European roulette even-money (win 0.486486, house edge 2.70%) bankroll $200, base unit $1, table max $500, 250 rounds/session, 100,000 sessions per system --- FLAT busted before 250 rounds : 0.00% finished ahead of $200 : 31.21% average final bankroll : $193.23 (net $-6.77) median final bankroll : $194.00 average total wagered : $250 loss as % of money wagered : 2.71% (house edge is 2.70%) --- MARTINGALE busted before 250 rounds : 56.93% finished ahead of $200 : 42.80% average final bankroll : $182.77 (net $-17.23) median final bankroll : $116.00 average total wagered : $632 loss as % of money wagered : 2.72% (house edge is 2.70%) --- DALEMBERT busted before 250 rounds : 41.43% finished ahead of $200 : 46.70% average final bankroll : $156.28 (net $-43.72) median final bankroll : $176.00 average total wagered : $1,632 loss as % of money wagered : 2.68% (house edge is 2.70%) --- FIBONACCI busted before 250 rounds : 32.00% finished ahead of $200 : 66.86% average final bankroll : $184.38 (net $-15.62) median final bankroll : $237.00 average total wagered : $583 loss as % of money wagered : 2.68% (house edge is 2.70%) === the point === flat net $ -6.77 loss/wagered 2.71% martingale net $ -17.23 loss/wagered 2.72% dalembert net $ -43.72 loss/wagered 2.68% fibonacci net $ -15.62 loss/wagered 2.68%