A deck of cards contains 52 cards, of which 4 are aces. You are offered the following wager: Draw one card at random from the deck. Your win \$ 10$ if the card drawn is an ace. Otherwise, you lose $\$ 1 .$ If you make this wager very many times, what will be the mean amount you win?
(a) About -\$ 1,$ because you will lase most of the time.
(b) About \$ 9,$because you win \$ 10$ but lose only \$ 1 .$
(c) About -\$ 0.15_{5}$ that is, on average you lose about 15 cents.
(d) About \$ 1.77$; that is, on average you win about
77 cents.
(e) About \$ 0,$ because the random draw gives you a fair bet.