exercise:2d7168df27: Difference between revisions
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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> Assume that you are playing craps with dice that are loaded in the following way: faces two, three, four, and five all come up with the same probability <math>(1/6) + r</math>. Faces one and six come up with probability <math>(1/6) - 2r</math>, w...") |
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Assume that you are playing craps with dice that are loaded in the following way: faces two, three, four, and five all come up with the same | |||
following way: faces two, three, four, and five all come up with the same | |||
probability <math>(1/6) + r</math>. Faces one and six come up with probability <math>(1/6) - 2r</math>, | probability <math>(1/6) + r</math>. Faces one and six come up with probability <math>(1/6) - 2r</math>, | ||
with <math>0 < r < .02</math>. Write a computer program to find the probability of | with <math>0 < r < .02</math>. Write a computer program to find the probability of | ||
winning at craps with these dice, and using your program find which values | winning at craps with these dice, and using your program find which values | ||
of <math>r</math> make craps a favorable game for the player with these dice. | of <math>r</math> make craps a favorable game for the player with these dice. | ||
Latest revision as of 01:00, 25 June 2024
Assume that you are playing craps with dice that are loaded in the following way: faces two, three, four, and five all come up with the same probability [math](1/6) + r[/math]. Faces one and six come up with probability [math](1/6) - 2r[/math], with [math]0 \lt r \lt .02[/math]. Write a computer program to find the probability of winning at craps with these dice, and using your program find which values of [math]r[/math] make craps a favorable game for the player with these dice.