Lecture7[1]

# Lecture7[1] - Lecture 7 Probability Theory Sections 4.1 4.2...

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Probability Theory 1 STAT 225, Dallas Bateman, Spring 2010 Lecture 7

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Probability PROBABILITY : a measure of likelihood – how LIKELY is something to happen? A generalization of the concept of percentage – usually talk about probability using a percent. What is the probability of flipping a coin and getting heads? What is the probability of rolling a dice and getting a 4? 2 STAT 225, Dallas Bateman, Spring 2010
Set Theory Sample Space or Set (S or Ω): A set that contains everything! It holds the whole sample. Event or Subset ( A or some appropriate label ) : A set in which every element is also contained in a larger set. i.e. a subset is a portion of a set Element (x i ) : A single value from a set. 3 STAT 225, Dallas Bateman, Spring 2010

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Set Theory Example: S = all possible outcomes of rolling a dice: {1,2,3,4,5,6} A = the event that I roll an odd number: {1,3,5} A is a SUBSET of S 1 is an ELEMENT of S and A 2 is NOT an ELEMENT of A 4 STAT 225, Dallas Bateman, Spring 2010
Venn Diagrams STAT 225, Dallas Bateman, Spring 2010 5

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Lecture7[1] - Lecture 7 Probability Theory Sections 4.1 4.2...

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