22. In Franklin College, 40% of the freshmen are enrolled in a mathematics course, and
75% are enrolled in an English course, and 20% are taking both.
(a) What is the probability that a randomly selected freshman is taking an English
course if it is known that he or she is enrolled in a mathematics course
(b) If a randomly selected freshman is taking an English course, what is the proba
bility that he or she is also enrolled in a mathematics course?
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