Q; A game consists of rolling a die.

Question

1. A game consists of rolling a die. If an even number shows, you receive double the value of the upper face in points. If an odd number shows, you lose points equivalent to triple the value of the upper face.

a) What is the expectation?

b) Is this game fair? Explain.

This is what I have done so far,

As I added all of the numbers from the xP(x), I got 0.165 but I believe it is wrong. Please help with this question, thank you and provide a good explanation for each.

Answer 1

Hello, Lia,

You are correct, 0.165 is incorrect. The point value for 6 should be 12, not 15. That brings the game to a probability of -0.5. Otherwise, it looks like the correct approach.

Bob