A bond analyst was given a list of 13 corporate bonds.

From that list she selected 3 whose ratings she felt were in danger of being downgraded in the next year.

In actuality, a total of 5 of the 13 bonds on the list had their ratings downgraded in the next year. Suppose that the analyst had simply chosen 3 bonds randomly from this list. What is the probability that at least 2 of the chosen bonds would be among those whose ratings were to be downgraded in the next year?