exercise:36b2856968: 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> In Las Vegas the roulette wheel has a 0 and a 00 and then the numbers 1 to 36 marked on equal slots; the wheel is spun and a ball stops randomly in one slot. When a player bets 1 dollar on a number, he receives 36 dollars if the ball stops on thi...")
 
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<div class="d-none"><math>
In Las Vegas the roulette wheel has a 0 and a 00 and then the numbers 1 to 36 marked on equal slots; the wheel is spun and a ball stops randomly in
\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> In Las Vegas the roulette wheel has a 0 and a 00 and then the
numbers 1 to 36 marked on equal slots; the wheel is spun and a ball stops randomly in
one slot.  When a player bets 1 dollar on a number, he receives 36 dollars if the
one slot.  When a player bets 1 dollar on a number, he receives 36 dollars if the
ball stops on this number, for a net gain of 35 dollars; otherwise, he loses his
ball stops on this number, for a net gain of 35 dollars; otherwise, he loses his
dollar bet.  Find the expected value for his winnings.
dollar bet.  Find the expected value for his winnings.

Latest revision as of 10:32, 14 June 2024

In Las Vegas the roulette wheel has a 0 and a 00 and then the numbers 1 to 36 marked on equal slots; the wheel is spun and a ball stops randomly in one slot. When a player bets 1 dollar on a number, he receives 36 dollars if the ball stops on this number, for a net gain of 35 dollars; otherwise, he loses his dollar bet. Find the expected value for his winnings.