Problem: A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or chicken. Of 200 respondents selected, 70 were children and 130 were adults. 120 preferred hamburger and 80 preferred chicken. 55 of the children preferred hamburger.
a. What is the probability that a randomly selected individual is an adult?
b. What is the probability that a randomly selected individual is a child and prefers chicken?
c. Assume we know the person is a child. What is the probability that this individual prefers hamburger?
d. Assume we know that a person prefers chicken. What is the probability that this individual is a child?