11266
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Betting Strategies: Should I Play or Run Away?
This Demonstration shows the effectiveness of common betting strategies against different winning probabilities, with presets for roulette supplied.
Contributed by:
Crystal Wang
(
Mathematica
Summer Camp 2012)
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
constant bet
: always bet the same amount of money
Kelly criterion
: current winnings
(see [1])
constant fraction
: always bet a fixed fraction of the total amount of money in hand
martingale
: bet the same after a win; double the bet after a loss (so all money lost will be returned after a win)
anti-martingale
: bet less after a loss, more after a win (to keep going on "winning streaks" and to minimize losses on "losing streaks")
pay out odds
: uses decimal odds form (2.0 means if you stake 10 dollars, you get 20 dollars back, including the 10 you bet)
25 trials
: gives you the average money won by 25 people playing the specified number of games
Roulette and other information from [2] and [3].
References
[1] Wikipedia. "Kelly Criterion." (Aug 3, 2012)
en.wikipedia.org/wiki/Kelly_criterion
.
[2] M. Shackleford. "Wizard of Odds." (Aug 3, 2012)
wizardofodds.com
.
[3] Wikipedia. "Roulette." (Aug 3, 2012)
en.wikipedia.org/wiki/Roulette
.
PERMANENT CITATION
Crystal Wang
"
Betting Strategies: Should I Play or Run Away?
"
http://demonstrations.wolfram.com/BettingStrategiesShouldIPlayOrRunAway/
Wolfram Demonstrations Project
Published: August 7, 2012
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Successes and Failures in a Run of Bernoulli Trials
Chris Boucher
An Amoeba Problem
Jason Cawley
Pólya's Urn
Mark Hennings
A Random Meeting
Heikki Ruskeepää
Hypothesis Tests about a Population Mean
Chris Boucher
The Birthday Problem
Chris Boucher
Finite-State, Discrete-Time Markov Chains
Chris Boucher
A Two-State, Discrete-Time Markov Chain
Chris Boucher
An Increasing Preference Distribution
Chris Boucher
The Power of a Test Concerning the Mean of a Normal Population
Chris Boucher
Related Topics
Probability
Random Processes
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+