Question

Leila is playing a game of chance in which she 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: Leila tosses the dart once. She wins $1 if the dart lands in slice 1, $2 if the dart lands in slice 2, $5 if the dart lands in slice 3, and $8 if the dart lands in slice 4. She loses $2.50 if the dart lands in slices 5, 6, 7, or 8.

Answer 1

expectation = 1(/8) + 2(1/8) + 5(1/8) + 8(1/8) - 2/5(4/8)
= ....

I will gladly play this game all day long, unless there is a charge of
more than $1.80 to play the game