Agame consists of rolling a colored die with three green sides, two red sides, and one blue side. a roll of a red loses. a roll of blue pays6.00. a roll of green pays 2.00. what is a fair price to pay to play?

The total of sides on a die is 6. Odds that you get green is 3/6 or 1/2, red is 2/6 or 1/3, blue is 1/6 so the payout is as follows
if the dice is estimated to roll 6 times like this
green, green, green, red, red, blue or $2, $2, $2, $0, $0, $6 and the total of the amount won is $12 in 6 games so 12/6=

$2 to roll each time