exercise:0cc0d5eb7c: 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> A box contains two gold balls and three silver balls. You are allowed to choose successively balls from the box at random. You win 1 dollar each time you draw a gold ball and lose 1 dollar each time you draw a silver ball. After a draw, the bal...") |
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A box contains two gold balls and three silver balls. You are allowed to choose successively balls from the box at random. You win 1 dollar | |||
each time you draw a gold ball and lose 1 dollar each time you draw a silver ball. After a draw, the ball is not replaced. Show that, if you draw until you are ahead by 1 dollar or until there are no more gold balls, this is a favorable game. | |||
are allowed to choose successively balls from the box at random. You win 1 dollar | |||
each time you draw a gold ball and lose 1 dollar each time you draw a silver ball. | |||
After a draw, the ball is not replaced. Show that, if you draw until you are ahead | |||
by 1 dollar or until there are no more gold balls, this is a favorable game. | |||
Latest revision as of 16:31, 14 June 2024
A box contains two gold balls and three silver balls. You are allowed to choose successively balls from the box at random. You win 1 dollar each time you draw a gold ball and lose 1 dollar each time you draw a silver ball. After a draw, the ball is not replaced. Show that, if you draw until you are ahead by 1 dollar or until there are no more gold balls, this is a favorable game.