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acres artificial variables Assume basic variables basis Brand called cards class intervals column player column vector components Compute conditional probabilities constraint inequalities coordinates corner points cost defined definition denoted determinant distribution dominated dot product entries Example EXERCISE expected value feasible solution Figure Find the probability Find the value formula four Gauss-Jordan elimination given graph household incoming variable intersection linear equations linear programming matrix game maximizing maximum mean method minimizing mixed strategy multiplication negative nonbasic variables nonnegative notation number of elements objective function outgoing variable partition payoff percent percentile permutations pivot play positive integer probability function probability vector problem random number random variable real numbers replacement quotient represent resource row player saddle point sample space Show simple events slack variable equations Solve square standard deviation Step stochastic matrix subgame subset subtract Suppose Table Theorem transition units Venn diagram Write zero