What is the probability that the Giants will win the World Series against the Yankees if the probability that they win a given game is 0.6? Winning 4 games means you win the series (7 total games).
I'm thinking binomial probability given they have to win "at least 4 games":
$P(x) = {7\choose4}(0.6)^4(0.4)^3 + {7\choose5}(0.6)^5(0.4)^2 + {7\choose6}(0.6)^6(0.4)^1 + {7\choose7}(0.6)^7(0.4)^0$
Am I on the right track?
Yes, you are correct, and the method you used is the simplest for such problems.
The logic is that once the Giants win $4$ games at any stage, they win, whatever happens later.