You are challenged to a lucky draw game. if you draw a face card (k, q, j) from a standard deck of cards, you earn 10 points. if you draw any other card, you lose 2 points. what is the expected value that you can get if you draw another card?

To problem wants to compute the probability of the expected value that could be earn if you would draw again another card. So base on the fact that if draw a face card of K,Q,J from a standard deck correctly you will earn 10 point in just one draw, but loose 2 points if you another card, the probability that you would draw correct card in just one draw is 30.77%, so the possible value earn you have 2 points only