The first box contains 1 donut and 2 brownies, the second contains 4 donuts and 2 brownies, and the third contains 2 donuts and six brownies. However, on his way to the staff meeting, Jared gets hungry, and he uniformly at random selects 1 baked good from each box to eat. What is the probability that he ate a donut from the first box, given that exactly 2 of the baked goods he ate were donuts?