A bag contains 7 red balls, some blue balls and 3 black balls. Probability of picking two balls from the bag is 1/3such that one is exactly red and one is exactly blue. The probability of picking two blue balls from the bag is ______.
I. \(\frac{2}{21} \)
II. \(\frac{17}{42}\)
III. \(\frac{2}{7}\)
1
I only
2
III only
3
II and III only
4
I and II only
5
I, II, and III