\documentclass[11pt]{article}
\usepackage{latexsym,amsmath,amsthm,amssymb,fullpage,enumerate}
\begin{document}
\section*{CS 70 homework 9 submission}
Your full name: PUT YOUR NAME HERE
\\
Your login name: PUT YOUR LOGIN NAME HERE
\\
Homework 9
\\
Your section number: PUT YOUR SECTION NUMBER HERE
\\
Your list of partners: LIST THE PEOPLE YOU WORKED WITH HERE (OR ``none'')
\begin{enumerate}
\item
\begin{enumerate}[{(}a{)}]
\item
What is the probability of getting at least one double six in 24 throws of
a pair of fair dice?
YOUR ANSWER GOES HERE
\item
What is the probability of getting at least one six in 4 throws of a fair die?
YOUR ANSWER GOES HERE
\item
Which is larger?
YOUR ANSWER GOES HERE
\end{enumerate}
\item
Calculate the probability that a particular patron at the
targeted IHOP:
\begin{enumerate}[{(}a{)}]
\item will not receive any poisoned pancakes
YOUR ANSWER GOES HERE
\item will receive exactly 1 poisoned pancake
YOUR ANSWER GOES HERE
\item will receive at least one poisoned pancake
YOUR ANSWER GOES HERE
\end{enumerate}
\item
What is your
best strategy? Why? What is the probability you win if you stick,
given that the other contestant's door didn't contain the prize?
What is the probability you win if you switch,
given that the other contestant's door didn't contain the prize?
YOUR ANSWER GOES HERE
\item
Suppose you notice that the side that is showing is heads.
What is the probability that the other side is heads? Show your work.
YOUR ANSWER GOES HERE
\item
If a second student draws the remaining bill from the bag, what is
the chance that it too is a \$1 bill? Show your calculations.
YOUR ANSWER GOES HERE
\item
\begin{enumerate}[{(}a{)}]
\item Calculate a simple formula for $q$, as a function of $p$.
YOUR ANSWER GOES HERE
\item Next, suppose the surveyers have estimated $q$.
Now they want to solve for $p$.
Find a simple formula for $p$, as a function of $q$.
YOUR ANSWER GOES HERE
\end{enumerate}
\end{enumerate}
\end{document}