A student placement center has requests from five students for interviews regarding employment with a particular consulting firm. Three of these students are math majors, and the other two students are statistics majors. Unfortunately, the interviewer has time to talk to only two of the students; these two will be randomly selected from among the five.

Answer parts (a) through (d). Enter your probabilities as decimals.

12(a) What is the probability that both selected students are statistics majors?

12(b) What is the probability that both students are math majors?

12(c) What is the probability that at least one of the students selected is a statistics major?

Hint: first find the complement event. We assume that each student has only one major.

12(d) What is the probability that the selected students have different majors?

Hint: first find the complement event.