Suppose that a certain college class contains 63 students. Of these, 35 are freshmen, 31 are social science majors, and 7 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 he is also a social science major?Write your responses as fractions. (If necessary, consult a list of formulas.)ab

Suppose that a certain college class contains 39 students. Of these, 24 are seniors, 21 are mathematics 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 senior and a mathematics major?(b) Given that the student selected is a senior, what is the probability that she is also a mathematics major?

A university class has 27 students: 13 are business majors, 8 are art majors, and 6 are accounting majors. (Each student has only one of these majors.) The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that the first student selected is a business major and the second student is an accounting major?Do not round your intermediate computations. Round your final answer to three decimal places.(If necessary, consult a list of formulas.)

In a certain liberal arts college with about 10,000 students, 40% are males. If two students from this college are selected at random, what is the probability that they are both males? 0 0.16 0.80 0.64 0.25

In a certain school, 17 percent of the students are enrolled in a psychology course, 28 percent are enrolledin a foreign language course, and 32 percent are enrolled in either a psychology course or a foreign languagecourse or both. What is the probability that a student chosen at random from this school will be enrolled inboth a foreign language course and a psychology course?(A) 0.45(B) 0.32(C) 0.20(D) 0.13(E) 0.05

There are 40 students in a course: 15 freshmen, 8 sophomores, 12 juniors, and 5 seniors. One student is selected at random to attend a workshop and report back to the class. What is the probability that the chosen student is a junior? 12% 30% 40% 50%