Answer:
Your expected loss per game is of $0.31.
Explanation:
In a standard 52-card deck, we have that:
There are 12 face cards.
What is your expected gain or loss (in dollars) per game?
12/52 probability of winning $2.
1 - 12/52 = 52/52 - 12/52 = 40/52 probability of losing $1. So

Negative, so a loss is expected.
Your expected loss per game is of $0.31.