Dan is playing a game of chance in which he tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8. The dart lands on a numbered slice at random. This game is this: Dan tosses the dart once. He wins $1 if the dart lands in slice 1, $3 if the dart lands in slice 2, $5 if the dart lands in slice 3, $8 if the dart lands in slice 4, and $10 if the dart lands in slice 5. He loses $3 if the dart lands in slices 6, 7, or 8. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. dollars (b) What can Dan expect in the long run, after playing the game many times? Dan can expect to gain money. He can expect to win ] dollars per toss. Dan can expect to lose money. He can expect to lose dollars per toss. Dan can expect to break even (neither gain nor lose money)