exercise:3c1b11960a: 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> You place a 1-dollar bet on the number 17 at Las Vegas, and your friend places a 1-dollar bet on black (see Exercises.\ref{exer 1.1.6} [[guide:4f3a4e96c3#sec 1.1 |and.]]). Let <math>X...") |
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You place a 1-dollar bet on the number 17 at Las Vegas, and your friend places a 1-dollar bet on black (see [[exercise:6025b7e7de|exercise]] and [[exercise:0d2144f613|exercise]]). Let <math>X</math> be your winnings and <math>Y</math> be her winnings. Compare <math>E(X)</math>, <math>E(Y)</math>, and <math>V(X)</math>, <math>V(Y)</math>. What do these computations tell you about the nature of your winnings if you and your friend make a sequence of bets, with you betting each time on a number and your friend betting on a color? | |||
your friend places a 1-dollar bet on black (see [[ | |||
winnings and | |||
<math>Y</math> be her winnings. Compare | |||
<math>E(X)</math>, <math>E(Y)</math>, and <math>V(X)</math>, <math>V(Y)</math>. What do these computations tell you about the | |||
nature of your winnings if you and your friend make a sequence of bets, with you | |||
betting each time on a number and your friend betting on a color? | |||
Latest revision as of 20:58, 14 June 2024
You place a 1-dollar bet on the number 17 at Las Vegas, and your friend places a 1-dollar bet on black (see exercise and exercise). Let [math]X[/math] be your winnings and [math]Y[/math] be her winnings. Compare [math]E(X)[/math], [math]E(Y)[/math], and [math]V(X)[/math], [math]V(Y)[/math]. What do these computations tell you about the nature of your winnings if you and your friend make a sequence of bets, with you betting each time on a number and your friend betting on a color?