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A Fair Game

The spinner below is labeled from 1 to 4. Each player will receive 10 times the
amount of the number that is spun. In order for this game to be fair, how much
money should each player pay to spin once?

12 Example $10
34 $20
Pointer lands on: 1
Pointer lands on: 2

Step 1. Find the prize money for each number. There are possible

outcomes in the spinner. The prize money for each number is

$10, , , and .

Step 2. Find the average of the prize money. The probability of a player getting
a number from 1 to 4 is the same and the average of the prize money

is (10 20 30 40) dollars.

Step 3. Therefore, each player must pay dollars to spin once in order
for this game to be fair.