About 2% of children in the United States are allergic to peanuts. Choose three children at random and let the random variable X be the number in this sample who are allergic to peanuts. The possible values X can take are 0, 1, 2, and 3. What is the
conditional probability that exactly two of the children will be allergic to peanuts, given that at least one of the three children
suffers from this allergy? Give your answer to six decimal places. Avoid rounding within calculations.