j-orlin-grabbe

Coin Toss Zero Set Plot

Java Applet No Longer Supported

This page originally contained a Java applet that demonstrated the zero set of coin tosses. Java applets are no longer supported by modern browsers due to security concerns.


The applet originally showed the zero set of 3200 successive coin tosses, presented in 8 rows of 400 tosses each. The zero set is the set of values of n where the number of heads and the number of tails are equal. It corresponds to the times when Henry, a gambler, reaches a break-even point. Henry wins a dollar if heads comes up, but losses a dollar if tails comes up, so the zero set corresponds to those times when his wins and losses are equalized. Note that the zero set has a Cantor-dust-like structure.

Note: The interactive applet functionality is no longer available due to the deprecation of Java applets in modern browsers.


Here is the java source code.

 

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