+614 During a long night of partying, Justin plays a card game where you must pay 10 cents to randomly draw a card from a regular deck of 52 cards. If Justin draws an ace, he wins $2.70. If he draws a heart (but not the ace of hearts), he wins $1.40. If he draws any other card, he wins nothing. What is the mathematical expectation for this game? Express your answer as a decimal in the hundredths place. (Note: In a deck of 52 cards, there are four aces. There are also 13 of each suit including the ace of that suit)
