O'Reilly logo

Digital Dice by Paul J. Nahin

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Image

APPENDIX 6

Solutions to the Spin Game

To theoretically analyze the spin game described at the end of the introduction, start by defining P as the probability of the event that the player, starting with disk 1, wins. Then we can write, as follows, all the ways that event can happen:

(1) the pointer stops in area p11 n times in a row, where n = 0, 1, 2, 3 ..., and then the pointer stops in area x1;

(2) the pointer stops in area p12, followed by the event that, if the player starts with disk 2, he wins the game (i.e., the pointer stops in area x1);

(3) the pointer stops in area p11 n times in a row, where n = 1, 2, 3,..., and then (2) occurs.

If ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required