a player chooses one of the numbers 11 through 44. after the choice has been made, two regular four-sided (tetrahedral) dice are rolled, with the sides of the dice numbered 11 through 4.4. if the number chosen appears on the bottom of exactly one die after it has been rolled, then the player wins 11 dollar. if the number chosen appears on the bottom of both of the dice, then the player wins 22 dollars. if the number chosen does not appear on the bottom of either of the dice, the player loses 11 dollar. what is the expected return to the player, in dollars, for one roll of the dice?