Question

Yoko is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered through 8. The dart lands on a numbered slice at random. 

This game is this: Yoko tosses the dart once. She wins $1 if the dart lands in slice 1, 52 if the dart lands in slice 2,55 if the dart lands in slice 3, and $8r the dart lands in slice 4. She loses $2.50 if the dart lands in slices 5, 6, 7, or 8. 

(If necessary, consult a list of formulas.) 

(a) Find the expected value of playing the game. dollars 

(b) What can Yoko expect in the long run, after playing the game many times? 

Yoko can expect to gain money. She can expect to win dollars per toss 

Yoko can expect to lose money. She can expect to lose dollars per toss. 

Yoko can expect to break even (neither gain nor lose money).

Answer 1