Chapter 2, Problem 34LOR

Suppose you decide to set up a simple dice-rolling game at a carnival and you plan to pay $1 for a 1 or 2, $2 for a 3 or 4, and $3 for a 5 or 6. If each player pays you $2 for each roll, YOU would make $1 if the player rolled a 1 or 2, $0 if the player rolled a 3 or 4, and lose $1 if the player rolled a 5 or 6. Those outcomes have been completed in the table.

Outcome (X)	Probability	Product
$1
$2
–$1

Is this a fair game? Would it make sense for you to offer this game? Explain.