Events R and S are defined on a sample space. If P(R) = 0.2 and P(S) =

Question:

Events R and S are defined on a sample space. If P(R) = 0.2 and P(S) = 0.5 explain why each of the following statements is either true or false:
a. If R and S are mutually exclusive, then P(R or S) = 0.10
b. If R and S are independent, then P(R or S) = 0.6
c. If R and S are mutually exclusive, then P(R and S) = 0.7
d. If R and S are mutually exclusive, then P(R or S) = 0.6.