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3. At a certain college, 57 percent of the students like the new Matrix movic, 10 percent are majoring in math, and 2 percent are math majors who like the movie. Find the probability that a randomly selected student: (a) likes the movie given that their major is math. (b) majors in math, given that they like the movie. 4. We put 6 blue balls and 9 red balls in a box and then randomly take 5 balls out one-by-one and without replacement. Find the probability that we select 2 red balls and then 3 blue balls