An investment in Project A will result in a loss of $$30,000$ with probability $0\mathrm{.}20,$ break even with probability $0\mathrm{.}60,$ or result in a profit of $$90,000$ with probability $0\mathrm{.}20.$ An investment in Project B will result in a loss of $$85,000$ with probability $0\mathrm{.}35,$ break even with probability $0\mathrm{.}5,$ or result in a profit of $$180,000$ with probability $0\mathrm{.}15.$ Which investment is better? $(10$ points$)$

The local Veteran Club runs a raffle. A ticket cost $$$80.$ One thousand tickets are sold. There is one first prize, a $$30,000$ car. There are two second prizes of $$15,000$ tractors. There are six third prizes of $$2,000$ laptop and ten fourth prizes of $$900$ipad. What is the expected value of your winnings if you buy one ticket in this lottery? $(10$ points$)$