A circular spinner is divided into 4 regions and the regions

Last updated: 7/20/2022

A circular spinner is divided into 4 regions and the regions are colored blue, red, yellow, and green. Each region occupies a fourth of the circle. Suppose you decide to play a "game" with your friend. If he spins and it lands on green, you will give him $5. If he spins and it lands on any other color, he has to give you $3. What is the mathematical expectation for this game? Should your friend play with you? Your friend should play because on average he will win $1 each time he plays. Your friend should NOT play because on average he will lose $4 each time he plays. Your friend should NOT play because on average he will lose $1 each time he plays. I have no idea. When did we ever learn this?