According to Global Research News (Mar. 4, 2014), one-fourth of all rough diamonds produced in the world are blood diamonds. (Any diamond that is mined in a war zone-often by children-in order to finance a warlord's activity, an insurgency, or an invading army's effort is considered a blood diamond.) Also, 90% of the world's rough diamonds are processed in Surat, India, and of these diamonds, one-third are blood diamonds.
a. Find the probability that a rough diamond is not a blood diamond.
b. Find the probability that a rough diamond is processed in Surat and is a blood diamond?