okay so I have my math final tomorrow and he said that this question was on the test, I've tried all the approaches I could come up with but still haven't gotten the answer.

The question is:

Two hockey teams, the Spartans and the Burners, hav a sudden death penalty shootout to decide who wins the game. The teams take penalty shots in turns. The first team to score wins. The probability that the Spartans score on any penalty shot is 0.3 and the probability that the Burners score on any penalty shot is 0.4. If the Spartans take the first penalty shot, determine the probability that they win the game.

thanks so much !