Consider a game in which a fair die is rolled. If the die comes
up 6, the player wins $2. If the die comes up 1, the player wins
$1. For all other outcomes, the player loses $1. What is the
expected amount that the player wins or loses? Leave your answer as
fraction, do not approximate. Please show all steps. You
may draw a table with the possible values of the associated
random variable and the corresponding probability distribution.