Math in Society

Question

A friend devises a game that is played by rolling a single six-sided die once. If you roll a 6, he pays you $3; if you roll a 5, he pays you nothing; if you roll a number less than 5, you pay him $1. Compute the expected value for this game. Should you play this game?

Answer 1

(1/6)($6) + (1/6)($0) - (1/6)($1) - (1/6)($1) - (1/6)($1) - (1/6)($1) = ?

Should you play?