Question

A certain game consists of rolling a single fair die and pays off as follows: $7 for a 6, $3 for a 5, and $1 for a 4, and no payoff otherwise. Find the expected winnings for this game.

Answer 1

multiply the amount you win by the probability you win it, then add them up

Answer 2

since the probability of each outcome is the same \(\frac{1}{6}\) you can add up all the payoffs and divide your answer by \(6\)
same thing