SOLUTION: Suppose that a certain college class contains 62 students. Of these, 34 are sophomores, 35 are psychology majors, and 7 are neither. A student is selected at random from the class.

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Question 634869: Suppose that a certain college class contains 62 students. Of these, 34 are sophomores, 35 are psychology majors, and 7 are neither. A student is selected at random from the class.
a) What is the probability that the student is both a sophomore and a psychology major?
(b) Given that the student selected is a sophomore, what is the probability that he is also a psychology major?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
62 students. Of these, 34 are sophomores, 35 are psychology majors, and 7 are neither
62-7 = 55 students are sophmores, psyc majors or both
34 + 35 = 69 - 55 = 14 are both
a) What is the probability that the student is both a sophomore and a psychology major?
(b) Given that the student selected is a sophomore, what is the probability that he is also a psychology major?
P =
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