In a card game, there are
15
cards laid out on a table.
6
of the cards are blank,
2
of the cards are labeled
$3
, and the remaining cards are labeled
$1
. When you select a card at random, you earn what is labeled on the card. After each game, you return the card and the cards are shuffled. Suppose you play this game
10
times. How much money can you expect to gain?