Expectation: Big Six Money Wheel
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 below. 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
Step 1
Suppose a player bets $13 on the $5 denomination. What is the probability of winning this bet? (Write your answer as a fraction.)