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. You 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 lose most of the time.
(b) About $\$ 9,$ because you win $\$ 10$ but lose only $\$ 1$ .
(c) About $-\$ 0.15 ;$ that is, on average you lose about 15 cents.
(d) About $\$ 0.77 ;$ that is, on average you win about 77 cents.
(e) About $\$ 0,$ because the random draw gives you a fair bet.