A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes to rest in one of many spots. Whatever is listed in that spot will be the player's winnings. If the wheel has 12 spots labeled $1, 16 spots labeled $2, and 9 spots labeled $10, how much should a player expect to win on average?

Question

A new game is being introduced at the Hard Rock Cafe.  A ball is spun around a wheel until it comes to rest in one of many spots.  Whatever is listed in that spot will be the player's winnings.  If the wheel has 12 spots labeled $1, 16 spots labeled $2, and 9 spots labeled $10, how much should a player expect to win on average?

Round to the nearest cent.

oobleck · Accepted Answer

35 spots, so 12/35 * $1 + 16/35 * $2 + 9/35 * $10 = $3.83