STATISTICS 300-Suppose that a certain college class contains 37

STATISTICS 300-Suppose that a certain college class contains 37

Subject: Mathematics    / Statistics
Question

Suppose that a certain college class contains 37 students. Of these, 23 are seniors, 22 are psychology 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 senior and a psychology major?

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

Write your responses as fractions.

(If necessary, consult a list of formulas.)