Question

At a county fair there is a spinner game with 10 sectors. 2 red sector, 2 green sector, 3 blue sector, and 3 yellow sectors. If the spinner lands on a red sector, the player wins 3 tokens. If the spinner lands on a green sector, the player wins 5 tokens. If the spinner lands on any other sector, the player loses 2 tokens. Is this game fair for the player and how much will the player win or lose on an average over time?

Answer 1

Is this game fair for the player and how much will the player win or lose on an average over time?

Answer 2

A)
County fair games are never fair.
Eliminate
B)
The expected value is zero, and the game is fair. So the player will break even for a single spin over time.
C)
The expected value is 0.4 and the game is fair. The player will win about 0.4 tokens for a single spin over time.
D)
The expected value is -0.4 and the game is not fair. The player will lose about 0.4 tokens for a single spin over time.