There are three bags $$B_1, B_2$$ and $$B_3$$. The bag $$B_1$$ contains 5 red and 5 green balls, $$B_2$$ contains 3 red and 5 green balls, and $$B_3$$ contains 5 red and 3 green balls. Bags $$B_1, B_2$$ and $$B_3$$ have probabilities $$\frac{3}{10}, \frac{3}{10}$$ and $$\frac{4}{10}$$ respectively of being chosen. A bag is selected at random anda ball is chosen at random from the bag. Then which of the following options is/are correct?