Suppose that a certain college class contains 61 students. Of these, 31 are fres

Question

Suppose that a certain college class contains 61 students. Of these, 31 are freshmen, 37 are English majors, and 10 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a freshman and an English major? (b) Given that the student selected is a freshman, what is the probability that he is also an English major? Write your responses as fractions (If necessary, consult a list of formulas.) (a)0 (b)0 ClearUndo Help Next >> I don't know

Explanation / Answer

solution:-
given that total = 61 students
freshmen = 31 , english major = 37

from that 61 - 10 = 51 are freshmen , english major or both
=> 31 + 37 - 51 = 17
a. the probability that the student is both a freshman and an english major = 17 / 61
b. the student selected is a freshman then the probability that he is also an english major is
=> (17 / 61) / (31 / 61)
=> 17 / 31

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