If one student is chosen at random,a.) Find the probability that the student got an A:b.) Find the probability that the student was male and got a "C"c.) find the probability that the student was female OR for a "B"d.) if one student is chosen at random, find the probability that the student got a "A" given there are male e.) in the group of students, are the events "the students was male" and "the student got an A" independent events? Yes or no and explain using ONLY probabilities to justify your answer

Giving a test to a group of students, the grades and gender are summarized below. Grades and Gender A B C Total Male 13 5 18 36 Female 17 8 9 34 Total 30 13 27 70 Give your answers as reduced fractions. If one student is chosen at random, a. Find the probability that the student got an A: b. Find the probability that the student was male AND got a "C" c. Find the probability that the student was female OR got a "B": d. If one student is chosen at random, find the probability that the student got a 'A' GIVEN they are male: e. In this group of students, are the events "the student was male" and "the student got a A" Independent events? Type "Yes" or "No" and then explain using ONLY probabilities to justify your