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Lectures

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Topic 1 (Sets)

Solutions To Lecture 1(pdf)

Solutions Topic 1(slides)

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Topic 2(Counting with Venn diagrams and In-Ex Priciple)

Solutions Topic 2(slides)

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Topic 3 (Basic counting Principles including Multiplication Principle)

Solutions To Lecture 3(pdf)

Solutions Topic 3 (slides)

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Topic 4 (Permutations)

Solutions To Lecture 4(pdf)

Solutions Topic 4 (slides)

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Topic 5 (Combinations)

Solutions To Lecture 5(pdf)

Solutions Topic 5 (Slides)

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Topic 6 (Mixed Counting Problems)

Solutions To Lecture 6(pdf)

Solutions Topic 06 (Slides)

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Topic 7(Introduction To Probability)

Solutions To Lecture 7(pdf)

Solutions To Lecture 7(Slides)

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Topic 8(Equally Likely Outcomes)

Solutions To Topic 8(pdf)

Solutions To Topic 8 (slides)

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Topic 9(Compund Events)

Solutions To Topic 9(pdf)

Solutions To Topic 9 (Slides)

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Topic 10 Conditional Probability

Solutions To Topic 10 (pdf)

Solutions To Topic 10 (slides)

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Topic 11 (Independence)

Solutions To Topic 11(pdf)

Solutions To Topic 11(slides)

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Topic 12(Bayes' Theorem)

Solutions To Topic 12(pdf)

Solutions To Topic 12(slides)

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Topic 13(Frequency Distributions and Histograms)

Solutions To Topic 13(pdf)

Solutions To Topic 13(Slides)

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Topic 14 (Measures of central tendency)

Solutions To Topic 14(pdf)

Solutions To Topic 14(slides)

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Topic 15 (Measures of Dispersion)

Solutions to Topic 15(pdf)

Solutions to Topic 15 (slides)

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Topic 16 (Random Variables)

Solutions to Topic 16(pdf)

Solutions to Topic 16(slides)

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Topic 17 (Expected Value and Var. of a R. Variable)

Solutions To Topic 17(pdf)

Solutions to Topic 17(Slides)

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Topic 18 (Binomial Random Variables)

Solutions To Topic 18(pdf)

Solutions To Topic 18(slides)

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Topic 19(Normal Distributions)

Solutions To Topic 19(pdf)

Solutions To Topic 19(slides)

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Topic 20(Linear Inequalities)

Solutions To Topic 20(pdf)

Solutions To Topic 20(slides)

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Topic 21(Feasible Sets)

Solutions feasible Sets (pdf)

Solutions Feasible Sets(Slides)

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Topic 22(Linear Programming)

Solutions Topic 22(pdf)

Solutions Topic 22(slides)

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Topic 23(Matrices)

Solutions Topic 23(pdf)

Solutions Topic 23(slides)

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Topic 24 Games(PayOff Matrices)

Solutions Topic 24(pdf)

Solutions Topic 24(slides)

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Topic 25 (Strictly Determined Games)

Solutions Topic 25(pdf)

Solutions Topic 25 (slides)

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Topic 26(Mixed Strategy)

Topic 26(Strategy Lines)

Topic 26(Formulas for Optmal Strategy)