A bond analyst was given a list of 10 corporate bonds. From that list, she selected 3 whose ratings she felt were in danger of being downgraded in...

A bond analyst was given a list of 10 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 6 of the 10bonds 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?

The probability that at least  2 of the chosen bonds would be downgraded is