An analyst was given a list of 12 corporate bonds. From that list

he selected three whose ratings he felt were in danger of being downgraded in the next year. In actuality, a total of four of the 12 bonds on the list had their ratings downgraded in the next year. Suppose that the analyst randomly selected three bonds from this list. What is the probability that at least two of the chosen bonds would be among those whose rating were to be downgraded in the next year?