Many casinos have a game called the Big Six Money Wheel,
which has 54 slots in which are displayed a Joker, the casino logo,
and various dollar amounts, as shown in the table at the top of the
next column. Players may bet on the Joker, the casino logo, or one
or more dollar denominations. The wheel is spun and if the wheel
stops on the same place as the player's bet, the player wins that
amount for each dollar bet.
Denomination Number of slots
$40 (Joker)
1
$40 (Casino logo) 1
$20
2
$10
4
$5
7
$2
15
$1
24
If a player bets $3 on the Joker denomination, find the player's
expectation. (Round your answer to two decimal places.)