exercise:F94c35d253: Difference between revisions
From Stochiki
(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> You have 80 dollars and play the following game. An urn contains two white balls and two black balls. You draw the balls out one at a time without replacement until all the balls are gone. On each draw, you bet half of your present fortune that...") |
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You have 80 dollars and play the following game. An urn contains two white balls and two black balls. You draw the balls out one at a time | |||
contains two white balls and two black balls. You draw the balls out one at a time | |||
without replacement until all the balls are gone. On each draw, you bet half of your | without replacement until all the balls are gone. On each draw, you bet half of your | ||
present fortune that you will draw a white ball. What is your expected final fortune? | present fortune that you will draw a white ball. What is your expected final fortune? | ||
Latest revision as of 17:31, 14 June 2024
You have 80 dollars and play the following game. An urn contains two white balls and two black balls. You draw the balls out one at a time without replacement until all the balls are gone. On each draw, you bet half of your present fortune that you will draw a white ball. What is your expected final fortune?