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.