A fair 6-sided die is rolled. If the roll is even, then you win that amount of dollars (so that, for example, if you roll 4, then you win $4). If the roll is odd, you win nothing. What is the expected value of your winnings? Express your answer as a dollar value.
I'm not great at these, Mellie....so Alan or Melody might correct my answer if it's incorrect, but anyway.....
The expected value = (Amount won) x (probability of winning that amount)
So we have
($2)(1/6) + ($4)(1/6) + ($6)(1/6) =
(1/6) ($2 + $4 + $6) =
(1/6) ($12) =
$2