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: $____