The Lottery Commission Has Designed a New Instant Lottery Game $$\begin{array} { | c | c | } \hline X & P [ X ] \\\hline 0 & 0.95 \\\hline 10 & 0.049 \\\hline 100 & 0.001 \\\hline\end{array}$$

Multiple Choice

The lottery commission has designed a new instant lottery game. Players pay $1.00 to scratch a ticket, where the prize won, X, (measured in $) has the following discrete probability distribution : $$\begin{array} { | c | c | } \hline X & P [ X ] \\\hline 0 & 0.95 \\\hline 10 & 0.049 \\\hline 100 & 0.001 \\\hline\end{array}$$ Which of the following best describes the expected value of X ?

A) In the long run, the average prize won per $\$ 1$ played is $\$ 0$ .
B) In the long run, the average prize won per $\$ 1$ played is $\$ 0.41$ .
C) In the long run, the average prize won per $\$ 1$ played is $\$ 0.59$ .
D) None of these choices are correct