Roulettingale v2

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

Totals

Risk (Minimum Bankroll)

Money

 102530354045506075
Profit107502687532250376254300048375537506450080625
Max Bet25606400768089601024011520128001536019200
Min Bankroll51101277515330178852044022995255503066038325
Pure Profit56301407516890197052252025335281503378042225

Stakes

 1025303540455060758090100
MGM ($25 - $10,000)-
Beau Rivage ($10 - $10,000)
Mirage ($25 - $20,000)-

Hours of Play

Players123456
Hours192937404663
  • 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)