Problem 5: A game is played using one die. A player must pay $5 to play. Then, when the
die is rolled, if it:
\begin{itemize}
\item shows a 2, 4, or 6 (even number), the player gets the $5 back,
\item shows a 1, the player gets $15.
\item shows any other number, the player gets nothing.
\end{itemize}
What is the game's expected value?
