Problem 6. (a) (5 pts) A dart lands randomly on a board with colored sectors: 6 sectors colored red, 6 sectors colored
blue and 8 sectors colored black. If your dart lands on a red sector, you win $5, if it lands on a black
sector, you win $10, if it lands on a blue sector you lose $8. What is the expected value if you play this
game?
(b) (5 pts) A pair of fancy shoes are on sale for $171.40 which is 33% of the original price. What is the
original price? (Round to the nearest cent)