A standard deck of playing cards contains 52 cards, of which 4 are aces and 13 are
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A standard deck of playing cards contains 52 cards, of which 4 are aces and 13 are hearts. You are offered a choice of the following two wagers:
I. Draw one card at random from the deck. You win $10 if the card drawn is an ace. Otherwise, you lose $1.
II. Draw one card at random from the deck. If the card drawn is a heart, you win $2. Otherwise, you lose $1.
Which of the two wagers should you prefer?
(a) Wager 1, because it has a higher expected value
(b) Wager 2, because it has a higher expected value
(c) Wager 1, because it has a higher probability of winning
(d) Wager 2, because it has a higher probability of winning
(e) Both wagers are equally favorable.
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