1. A dice game involves rolling two dice. If the sum of the two numbers rolled is 2, 3, 4, 10, 11, or 12, you win $5. If the sum is 5, 6, 7, 8, or 9, you lose $5. What is the expected value for 1 game? 2. An adventurous aardvark is a card shark and gambler. He offers to let you play in a game with him. To play, you must pay him $2. If you pick a spade, you win $9. What is the expected value for you if you play this game with the aardvark? 3. Your company plans to invest in a particular project. There is a 35% chance that you will lose $30,000, a 40% chance that you will break even, and a 25% chance that you will make $55,000. Based solely on this information, should your company plan to invest or bail? Show your work to explain your answer. 4. A grab bag contains 12 packages worth $.80 each, 15 packages worth $.40, and 25 packages worth $.30. Would it be worth playing if you had to pay $.50 to choose a package?