For extra credit, Sal can choose his bonus points from a stack of 5 sealed cards.  Each card has one of five possible amounts: 1 extra point, 2 extra points, 3 extra points, 4 extra points, and 10 extra points, and each amount has an equal probability.  He is not allowed to open the card.   Find the expected value of extra credit points he could win.  If Sal is offered 3 points for turning in his sealed card, should he take it?   His teacher removes the card with 10 extra points.  What is his expected value now? Should he now take the 3 extra points for turning in his sealed card?

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