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infeasible solutions, optimalfeasible solution (upto three nontrivialconstraints).Unit-VIProbability1.Probability Recall of the concept ofprobability from previous class.Addition and multiplicationtheorems on probability.Conditionalprobability,independent events, totalprobability. Baye’s Theorem,Random variable and itsprobability distribution, mean andvariance of random variables,Repeated independent(Bernoulli) trials and Binomialdistribution.1. Proofs inMathematicsAPPENDIXThrough a variety of examples,related to mathematics andalready familiar tothe learner, bring out differentkinds of proofs, direct,contrapositive, by contradiction,by counter example.