There are 2 yellow candies, 4 red candies and 6 blue candies. They are taken out one after the other. What's the probability that both yellow candies are taken out before any of the red ones?

My attempt:
The probability of a red is taken out in the first time is $\frac{1}{3}$, the probability it's taken in the second time is... 

it requires a massive amount of calculation and I didn't continue (I will probably get it wrong anyway), am I overlooking something obvious?