Question

In the game you draw a card at random from a standard deck of 52 cards. if the card is a face card (jack, queen, king) you win $50. if the card is anything else, you pay $15. True False

Answer 1

For each of the three face cards, there are four suits. So P(face card) = 12/52 = 4/13

E(X) = $50(4/13) - $15(9/13)

= ($200 - $135)/13

= $65/13 = $5