When you play roulette at a casino, we can bet on one of the 37 numbers
from 0 to 36. Alternatively you can bet on the colour red or black (0 is
coloured green).

For the remainder of the question, consider a bet of €100.

\begin{enumerate}
    \item If you bet on red and the ball falls on one of the 18 red compartments,
your money is doubled.

\nbPointsEnumi{3}Calculate the Expected value of the random variable $X$ : « amount won
betting on red ».
    \item \nbPointsEnumi{3}Compare this value with the Expected value of the random variable
$Y$ : « Amount won betting on a specific number ». If the ball stops in
the compartment you have bet on, you receive 36 times what you bet.
\end{enumerate}
