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Question

Suppose that a certain college class contains 63 students. Of these, 30 are seniors, 37 are history majors, and 6 are neither.  A student is selected at random from the class.  

(a) What is the probability that the student is both a senior and a history major?

(b) Given that the student selected is a history major, what is the probability that he is also a senior?  

 

Write your responses as fractions.

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