You are given the opportunity to play a game of chance. The game costs $10 to play. The game is a simple Lottery Wheel. For this game a wheel is spun and whatever it lands on is the outcome. The wheel is made of 100 different slices. After studying it you see that there is a 10% chance of winning $300, a 20% chance of winning $20, a 30% chance of winning $10, and a 40% chance of winning nothing. What is the expected value of this game? Would you choose to play? Explain your decisio