The probability that the student enrolls in a math class is 0.4 and theprobability that he enrolls in a science class is 0.6. The probability that he enrolls in a math class given thathe enrolls in science class is 0.3.Let: M = math class, S = science class, M|S = math given science.

a. What is the probabilityP(M AND S) ?Round your answer to the nearest hundredth.

b.Are M and S independent?

c.Are M and S mutually exclusive?