Glove Shelves

You have two shelves (top and bottom) and two types of gloves (red and black). On the top shelf, a proportion $p_1$ of the gloves are red, while on the bottom shelf, a proportion $p_2$ of the gloves are red. You select a shelf uniformly at random and pick two gloves with replacement from that shelf. Both of them are red. If $p_1 = 1/3$ and $p_2 = 2/3$, find the probability you selected from the top shelf.