In a game of chance, a card is drawn from a standard 52-card deck. If the card is the Ace of Hearts, you win $1000. If the card is any other Heart or any other Ace, you win $100. What is the probability of winning any amount on a single play? Round to four decimals. Answer: Suppose you play this game three times in a row. The card is replaced and the deck is re-shuffled between each game. What is the probability of winning any amount on at least one of these plays? Round to four decimals. Answer: Calculate the expected value of your winnings if you play this game once. Round to the nearest cent. Answer: $ In a different game, you are dealt a four-card hand from a standard 52-card deck (without replacement). If you get all four Aces, you win $10,000,000 (i.e. ten million dollars!!). Otherwise, you win nothing. Calculate the expected value of your winnings if you play this game once. Round to the nearest cent. Answer: $