Yet another brain freeze. "A student is munching on a bag of plain M&Ms. With 22 pieces left, 5 of which are red and 3 of which are yellow, she spills 10 pieces.

a. Find the probability that the bag still contains the 5 red and 3 yellow pieces.

b. Determine the probability that exactly 1 of each color red and yellow remain in the bag."

For a, the answer is simply $\displaystyle \frac{7}{11}$ or .636, correct?

I can't think of how to approach b.