A) What is the expected value of a card (from a standard deck of cards) assuming that aces are worth 1 point and face cards are worth 10?
B) A game consists of drawing a card and rolling a die simultaneously. If the value of the die is greater than the value of the card (the card values are as in part A above) then you win a number of dollars equal to the value on the die. If the die and the card have equal value, nobody wins anything. If the card is of higher value than the die, you lose 1 dollar. For example, suppose you roll a 4 on the die and draw a 6 of clubs. Then you lose 1 dollar. If, on the other hand, you roll a 5 on the die and draw a 2 of spades, then you win 5 dollars. What is the expected value of the game?
