3.3 Exercise 6

Let: M = math class, S = speech class, M$\left|\right.$S = math given speech

1. What is the probability that Felicity enrolls in math and speech?
   Find P(M $\cap$ S) = P(M$\left|\right.$S)P(S).
2. What is the probability that Felicity enrolls in math or speech classes?
   Find P(M $\cup$ S) = P(M) + P(S) - P(M $\cap$ S).
3. Are M and S independent? Is P(M$\left|\right.$S) = P(M)?
4. Are M and S mutually exclusive? Is P(M $\cap$ S) = 0?