C. Let S represent the sample space of classrooms on UIC's campus. Events are defined as follows: A = classroom remodeled/built within the last 5 years B = classroom with a window(s) C = classroom without a projector The following probabilities are known: P(A) = 0.1, P(B) = 0.6, P(C) = 0.3, P(An B) = 0.1, P(An C) = 0.0, and P(B n C) = 0.2 i. Compute the probability P(A n B n C). ii. Compute the probability P(A U B UC). ill . Provide evidence, using the rules of probability, that you cannot find a classroom remodeled/built within the last 5 years that doesn't have a window