Suppose you are going skiing this weekend for the first time. However you are worried about the possobility f breaking you leg during your first time out. Your alternative is to go to the beach. After thinking about the possibilities, you have decided that you value a weekend of skiing with no mishap at $$1,000$ and that you value a broken leg at $-$$$5,000.$ Going to the beach instead is worth $$500$ to you. Finally, after talking to other people, you peg the chance of breaking you leg at a $1$ in $10.$ Determine the expected value of the preffered decision alternative.