STATS 2B03 Lecture Notes - Sample Space, Venn Diagram, Handedness
19 Jun 2013
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Document Summary
Sample space, s for an experiment is the set of all possible outcomes. Example: in a family of 3 children. S ={0, 1, 2, 3} (# of boys) not equally likely. An event e is a subset of the sample space that satisfies a given condition. Example: e= exactly 2 boys = {gbb, bgb, bbg} Basic rule of probability: if the outcomes in s are equally likely then the probability of e is ( ) Where e complement is the event that e does not occur. Note that e complement is the opposite of e. Example: p(at least one boy) = 1-p(no boys) = 1- = two events are mutually exclusive if they cannot both occur at the same time. Venn diagram: circle a and circle b do not overlap. A union b is the event that a occur or b occur (or both) Rule p3: if a and b are mutually exclusive then p(a union b) = p(a) or.
