spencie12

...are freshmen,35 are social science majo Suppose that a certain college class contains 65 students. Of these,32 are freshmen,35 are social science majors, and 5 are neither. A student is selected at random from the class.

(a) What is the probability that the student is both a freshman and a social science major?
(b) Given that the student selected is a freshman, what is the probability that she is also a social science major

Bertux

5 are neither. That leaves 60.
(a) 32 + 35 = 67 so 7 must be freshmen social science majors.
7 / 60 = 0.11667

(b) 32 freshmen, 7 are both
7 / 32 = 0.21875