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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Another well-known gambling system is the ''martingale doubling system''. Suppose that you are betting on red to turn up in roulette. Every time you win, bet 1 dollar next time. Every time you lose, double your previous bet. Suppose that you...")
 
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Another well-known gambling system is the ''martingale doubling system''.  Suppose that you are betting on red to turn up in roulette.  Every time you win, bet 1 dollar next time.  Every time you lose, double your previous bet.  Suppose that you use this system until you have won at least 5
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dollars or you have lost more than 100 dollars.  Write a program to simulate this and play it a number of times and see how you do.  In his book
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''The Newcomes,'' W. M. Thackeray remarks “You have not played as yet?  Do not do so; above all avoid a martingale if you do.”<ref group="Notes" >W. M. Thackerey, ''The Newcomes'' (London: Bradbury and Evans, 1854--55).</ref>  Was this good advice?
\newcommand{\exref}[1]{\ref{##1}}
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\newcommand{\mathds}{\mathbb}</math></div> Another well-known gambling system is the ''martingale doubling system''.   
Suppose that you are betting on red to turn up
in roulette.  Every time you win, bet 1 dollar next time.  Every time you
lose,
double your previous bet.  Suppose that you use this system until you have won at least 5
dollars or you have lost more than 100 dollars.  Write a program to simulate
this and play it a number of times and see how you do.  In his book
''The Newcomes,'' W. M. Thackeray remarks  
“You have not played as yet?  Do not do
so; above all avoid a martingale if you do.”<ref group="Notes" >W. M. Thackerey, ''The
Newcomes'' (London: Bradbury and Evans, 1854--55).</ref>  Was this good advice?


'''Notes'''
'''Notes'''


{{Reflist|group=Notes}}
{{Reflist|group=Notes}}

Latest revision as of 20:15, 12 June 2024

Another well-known gambling system is the martingale doubling system. Suppose that you are betting on red to turn up in roulette. Every time you win, bet 1 dollar next time. Every time you lose, double your previous bet. Suppose that you use this system until you have won at least 5 dollars or you have lost more than 100 dollars. Write a program to simulate this and play it a number of times and see how you do. In his book The Newcomes, W. M. Thackeray remarks “You have not played as yet? Do not do so; above all avoid a martingale if you do.”[Notes 1] Was this good advice?

Notes

  1. W. M. Thackerey, The Newcomes (London: Bradbury and Evans, 1854--55).