A bond analyst was given a list of 12 corporate bonds. She was asked to select the bonds on that list whose ratings she felt were in danger of being downgraded in the next year. In actuality, a total of five of the 12 bonds on the list had their ratings downgraded in the next year. Suppose that the analyst randomly selected four 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?

Do not round intermediate calculations. Round your final answer to four decimals.

Format for probabilities: 0.0000