A game consists of you rolling one fair 6-sided die and observing the number that appears uppermost. If you roll a 2 or a 4, then you win $10. If you roll a 6, then you win $20. If you roll any other number, then you do not win any money. Find your expected net winnings for this game if it costs $2 to play.
1 answer
(1/3)(10)+(1/6)(20)-2 = 14/3 = $4.67