You are in a game of Russian roulette, but this time the gun (a 6 shooter revolver) has three bullets in_a_row in three of the chambers. The barrel is spun only once. Each player then points the gun at his (her) head and pulls the trigger. If he (she) is still alive, the gun is passed to the other player who then points it at his (her) own head and pulls the trigger. The game stops when one player dies.
Now to the point: would you rather be first or second to shoot?