“Double Spin” is a new game. The player gets to spin a spinner twice, but wins only if the same amount comes up both times. The $100 sector is 1/8 of the circle. a. Use an area model or tree diagram to show the sample space and probability of each outcome of two spins and then answer the following questions.

b. What is the expected value when playing this game? That is, what is the average amount of money the carnival should expect to pay to players each turn over a long period of time?

c. If it costs $3.00 for you to play this game, should you expect to break even in the long run?

d. Is this game fair?