Roulettingale v2

A data project testing the performance of the Martingale betting system in Roulette.

Totals

Risk (Minimum Bankroll)

Money

  10 25 30 35 40 45 50 60 75
Profit 10750 26875 32250 37625 43000 48375 53750 64500 80625
Max Bet 2560 6400 7680 8960 10240 11520 12800 15360 19200
Min Bankroll 5110 12775 15330 17885 20440 22995 25550 30660 38325
Pure Profit 5630 14075 16890 19705 22520 25335 28150 33780 42225

Stakes

  10 25 30 35 40 45 50 60 75 80 90 100
MGM ($25 - $10,000) -
Beau Rivage ($10 - $10,000)
Mirage ($25 - $20,000) -

Hours of Play

Players 1 2 3 4 5 6
Hours 19 29 37 40 46 63
  • 060

  • Wins: 30
  • Spins: 67
  • Max Bet: 32 (x)
  • Min Bankroll: 63 (x)
  • 059

  • Wins: 30
  • Spins: 59
  • Max Bet: 8 (x)
  • Min Bankroll: 15 (x)
  • 058

  • Wins: 30
  • Spins: 52
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 057

  • Wins: 30
  • Spins: 53
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 056

  • Wins: 30
  • Spins: 51
  • Max Bet: 128 (x)
  • Min Bankroll: 256 (x)
  • 055

  • Wins: 30
  • Spins: 71
  • Max Bet: 256 (x)
  • Min Bankroll: 511 (x)
  • 054

  • Wins: 30
  • Spins: 70
  • Max Bet: 128 (x)
  • Min Bankroll: 255 (x)
  • 053

  • Wins: 30
  • Spins: 55
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 052

  • Wins: 30
  • Spins: 72
  • Max Bet: 32 (x)
  • Min Bankroll: 63 (x)
  • 051

  • Wins: 30
  • Spins: 61
  • Max Bet: 32 (x)
  • Min Bankroll: 63 (x)
  • 050

  • Wins: 20
  • Spins: 42
  • Max Bet: 32 (x)
  • Min Bankroll: 63 (x)
  • 049

  • Wins: 20
  • Spins: 43
  • Max Bet: 32 (x)
  • Min Bankroll: 63 (x)
  • 048

  • Wins: 20
  • Spins: 51
  • Max Bet: 256 (x)
  • Min Bankroll: 511 (x)
  • 047

  • Wins: 20
  • Spins: 52
  • Max Bet: 128 (x)
  • Min Bankroll: 255 (x)
  • 046

  • Wins: 20
  • Spins: 31
  • Max Bet: 8 (x)
  • Min Bankroll: 15 (x)
  • 045

  • Wins: 20
  • Spins: 47
  • Max Bet: 128 (x)
  • Min Bankroll: 255 (x)
  • 044

  • Wins: 20
  • Spins: 44
  • Max Bet: 64 (x)
  • Min Bankroll: 127 (x)
  • 043

  • Wins: 20
  • Spins: 49
  • Max Bet: 128 (x)
  • Min Bankroll: 255 (x)
  • 042

  • Wins: 20
  • Spins: 42
  • Max Bet: 128 (x)
  • Min Bankroll: 255 (x)
  • 041

  • Wins: 20
  • Spins: 48
  • Max Bet: 128 (x)
  • Min Bankroll: 255 (x)
  • 040

  • Wins: 20
  • Spins: 41
  • Max Bet: 8 (x)
  • Min Bankroll: 15 (x)
  • 039

  • Wins: 20
  • Spins: 46
  • Max Bet: 32 (x)
  • Min Bankroll: 63 (x)
  • 038

  • Wins: 20
  • Spins: 28
  • Max Bet: 4 (x)
  • Min Bankroll: 7 (x)
  • 037

  • Wins: 20
  • Spins: 31
  • Max Bet: 8 (x)
  • Min Bankroll: 15 (x)
  • 036

  • Wins: 20
  • Spins: 43
  • Max Bet: 128 (x)
  • Min Bankroll: 255 (x)
  • 035

  • Wins: 20
  • Spins: 43
  • Max Bet: 128 (x)
  • Min Bankroll: 255 (x)
  • 034

  • Wins: 20
  • Spins: 41
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 033

  • Wins: 20
  • Spins: 54
  • Max Bet: 128 (x)
  • Min Bankroll: 255 (x)
  • 032

  • Wins: 20
  • Spins: 44
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 031

  • Wins: 20
  • Spins: 39
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 030

  • Wins: 15
  • Spins: 39
  • Max Bet: 64 (x)
  • Min Bankroll: 127 (x)
  • 029

  • Wins: 15
  • Spins: 26
  • Max Bet: 8 (x)
  • Min Bankroll: 15 (x)
  • 028

  • Wins: 15
  • Spins: 32
  • Max Bet: 64 (x)
  • Min Bankroll: 127 (x)
  • 027

  • Wins: 15
  • Spins: 20
  • Max Bet: 4 (x)
  • Min Bankroll: 7 (x)
  • 026

  • Wins: 15
  • Spins: 49
  • Max Bet: 256 (x)
  • Min Bankroll: 511 (x)
  • 025

  • Wins: 15
  • Spins: 38
  • Max Bet: 128 (x)
  • Min Bankroll: 255 (x)
  • 024

  • Wins: 15
  • Spins: 27
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 023

  • Wins: 15
  • Spins: 32
  • Max Bet: 128 (x)
  • Min Bankroll: 255 (x)
  • 022

  • Wins: 15
  • Spins: 28
  • Max Bet: 32 (x)
  • Min Bankroll: 63 (x)
  • 021

  • Wins: 15
  • Spins: 39
  • Max Bet: 32 (x)
  • Min Bankroll: 63 (x)
  • 020

  • Wins: 15
  • Spins: 32
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 019

  • Wins: 15
  • Spins: 29
  • Max Bet: 8 (x)
  • Min Bankroll: 15 (x)
  • 018

  • Wins: 15
  • Spins: 24
  • Max Bet: 8 (x)
  • Min Bankroll: 15 (x)
  • 017

  • Wins: 15
  • Spins: 28
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 016

  • Wins: 15
  • Spins: 29
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 015

  • Wins: 10
  • Spins: 18
  • Max Bet: 8 (x)
  • Min Bankroll: 15 (x)
  • 014

  • Wins: 10
  • Spins: 18
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 013

  • Wins: 10
  • Spins: 14
  • Max Bet: 4 (x)
  • Min Bankroll: 7 (x)
  • 012

  • Wins: 10
  • Spins: 25
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 011

  • Wins: 10
  • Spins: 16
  • Max Bet: 8 (x)
  • Min Bankroll: 15 (x)
  • 010

  • Wins: 10
  • Spins: 15
  • Max Bet: 4 (x)
  • Min Bankroll: 7 (x)
  • 009

  • Wins: 10
  • Spins: 16
  • Max Bet: 4 (x)
  • Min Bankroll: 7 (x)
  • 008

  • Wins: 10
  • Spins: 21
  • Max Bet: 32 (x)
  • Min Bankroll: 63 (x)
  • 007

  • Wins: 10
  • Spins: 19
  • Max Bet: 4 (x)
  • Min Bankroll: 7 (x)
  • 006

  • Wins: 10
  • Spins: 22
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 005

  • Wins: 10
  • Spins: 21
  • Max Bet: 16 (x)
  • Min Bankroll: 31 (x)
  • 004

  • Wins: 10
  • Spins: 31
  • Max Bet: 128 (x)
  • Min Bankroll: 255 (x)
  • 003

  • Wins: 10
  • Spins: 17
  • Max Bet: 4 (x)
  • Min Bankroll: 7 (x)
  • 002

  • Wins: 10
  • Spins: 21
  • Max Bet: 8 (x)
  • Min Bankroll: 15 (x)
  • 001

  • Wins: 10
  • Spins: 16
  • Max Bet: 4 (x)
  • Min Bankroll: 7 (x)

Project Goals

The true purpose behind this project is learning how to collect, organize, and visualize data. However, number systems are my crack. So, ultimately it's a chance for me to learn while pouring through numbers.

A toned-down explanation of the Martingale betting systems is that you bet a single amount on an even money bet. If you win, you collect the profit. If you lose, you continue doubling your bet until you win again. At that point, you will profit 1 original bet.

Mathematically, you can't lose in a system that is allowed to run forever. To counter this, casinos restrict max bets.

Questions:

  • Q: Can you reach a certain number of wins before hitting the max bet?
    A: Yes
  • Q: If so, how many times can you win consistently?
    A: At least 20
  • Q: What is the maximum amount you could bet consistently?
    A: $75
  • Q: What would be the profit and risk at that level?
    A: 80625 Profit with a necessary bankroll of 38325
  • Q: Can I hit pure profit (512 wins) before a loss?
    A: Yes, in 37 sessions
  • Q: How does my choice of bets affect the results?
    A: (In progress)