Russian Roulette #1

A single bullet is put into a 6-chamber revolver and the cylinder is spun so that every chamber is equally likely to be under the hammer. Two players take turns pulling the trigger with the gun pointed at their own head, the first player going first. After each pull the cylinder simply advances by one chamber (it is not spun again), and the game ends as soon as someone is shot.

What is the probability that the first player survives? Give the answer as a decimal.