Is it advantageous to you to play the game? How do you know?

You are about to play a game in which you draw 3 ping-pong balls without replacement from a barrel. The barrel contains 6 green balls and 4 red balls. If all 3 of your selections are green, you win \(\$ 5\). If 2 of the 3 are green, you win \(\$ 1\). If 2 or more of your selections are red, you lose \(\$ 5\).