of the three men, the chances that of politician, a businessman,of an academician will be appointed as a vice-chancellor (vc) of auniversity are 0.5,0.3 and 0.2 respectively. Probability that theresearch is promoted to become vc of the university politician,businessman, and academician 0.3, 0.7, and 0.8 respectively. a)determine the probability that research is promoted. b) if reserchis promoted, what is the probability that vc is andacademician?