03_Chapter 2

# 03_Chapter 2 - Chapter 2 Probability Section 2.1 Sample...

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Chapter 2 – Probability Section 2.1 Sample Spaces and Events Experiment – any action or process whose outcome cannot be predicted based on knowledge of experimental conditions Sample space S – the set of all possible outcomes of an experiment Example : Toss a coin three times. What is the sample space? Event – a subset of outcomes contained in a sample space Simple event – exactly one outcome Compound event – more than one outcome Example : Toss a coin three times. Describe these events: A : three heads occur; B : exactly two heads occur; C : at least one tail occurs. 11

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Union A U B : A or B occurs Intersection A B : both A and B occur Complement C ': C does not occur Mutually exclusive or disjoint : E 1 E 2 = Ø (the null or empty set) Venn diagram example (using above events): 12
2.2 Axioms, Interpretations, and Properties of Probability Probability is a number between 0 and 1 that measures the likelihood that a particular outcome will occur when an experiment is performed. This number

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03_Chapter 2 - Chapter 2 Probability Section 2.1 Sample...

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