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Discrete Mathematics and Combinatorics by T. Sengadir

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Chapter 14

Discrete Probability

Learning Objectives

On completing this chapter, you should be able to:

  • write down the sample space for simple random experiments

  • define the notions of an event, mutually exclusive events and compliment of an event

  • define the notion of a random variable

  • state the axioms of probability

  • state and prove the addition law for probabilities

  • compute the probability of events in simple random experiments

  • identify events associated with a given random variable

  • define conditional probability

  • define the notions of independent and mutually exclusive events

  • state the multiplicative law for probabilities

  • state and prove total probability and Bayes theorems

  • solve problems based on total probability and Bayes theorems

  • recall ...

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