In the game of roulette, a player can place a $9 bet on
the number 16 and have a 13 over 8 probability of
winning. If the metal ball lands on 16, the player gets to keep
the $9 paid to play the game and the player is awarded an
additional $315. Otherwise, the player is awarded nothing
and the casino takes the player's $9.
What is the expected value of the game to the player? If
you played the game 1000 times, how much would you expect
to lose?