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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 royal family has children until it has a boy or until it has three children, whichever comes first. Assume that each child is a boy with probability 1/2. Find the expected number of boys in this royal family and the expected number of girls.")
 
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<div class="d-none"><math>
A royal family has children until it has a boy or until it has three children, whichever comes first.  Assume that each child is a boy with
\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 royal family has children until it has a boy or until it
has three children, whichever comes first.  Assume that each child is a boy with
probability 1/2.  Find the expected number of boys in this royal family and the
probability 1/2.  Find the expected number of boys in this royal family and the
expected number of girls.
expected number of girls.

Latest revision as of 10:39, 14 June 2024

A royal family has children until it has a boy or until it has three children, whichever comes first. Assume that each child is a boy with probability 1/2. Find the expected number of boys in this royal family and the expected number of girls.