10. In the figure below, the three semi-circles whose bases lie on the line AD and partition it Into thirds {AB=B=CD]. What Is the ratio of areas of the 3 semicircles? If a dart lands randomly at some point In the figure, what is the probability of It landing In the blue shaded area\":I EXPECTED VALUE Each problem presents a game, and it is your job to compute the expected value of the game. Once you find the expected value, state whether or not you should play the game. 11. You roll a die: You win $3 if you get a 5 or a 6, and you lose $2 if you get a 1,2,3, or 4. Event Probability Value P . V 5 or 6 1, 2, 3, 4 Expected Value 12. You have to pay $2 to play this game: You pick a card from a deck. If it is a face card (King, Queen, Jack), you win $10.13. You flip a coin twice, and you win $1 if you get at least one head. If you don't, you lose $0.25. 14. You draw a card from a deck of 54 (the standard deck, plus two jokers). If you get a joker, you lose $100. Otherwise you win $3