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Probability
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Sample space Roll a die S={1,2,3,4,5,6}
the collection of all possible outcomes of a chance experiment Roll a die S={1,2,3,4,5,6}
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Event any collection of outcomes from the sample space
Rolling a prime # E= {2,3,5}
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Complement Consists of all outcomes that are not in the event
Not rolling a even # EC={1,3,5}
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Union the event A or B happening
consists of all outcomes that are in at least one of the two events Rolling a prime # or even number E={2,3,4,5,6}
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Intersection the event A and B happening
consists of all outcomes that are in both events Drawing a red card and a “2” E = {2 hearts, 2 diamonds}
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Mutually Exclusive (disjoint)
two events have no outcomes in common Roll a “2” or a “5”
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Venn Diagrams Used to display relationships between events
Helpful in calculating probabilities
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Venn diagram - Complement of A
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Venn diagram - A or B A B
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Venn diagram - A and B A B
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Venn diagram - disjoint events
B
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Statistics & Computer Science & not Calculus
Com Sci Com Sci Statistics & Computer Science & not Calculus
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Calculus or Computer Science
Stat Com Sci Calculus or Computer Science
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(Statistics or Computer Science) and not Calculus
Com Sci (Statistics or Computer Science) and not Calculus
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Statistics and not (Computer Science or Calculus)
Com Sci Statistics and not (Computer Science or Calculus)
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170 Statistics or Computer Science? Stat Cal 105 30 20 10 10 20 80
Com Sci Statistics or Computer Science? 170
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20 Statistics and Computer Science? Stat Cal 105 30 20 10 10 20 80
Com Sci 20 Statistics and Computer Science?
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90 Statistics or (Computer Science and Calculus)? Stat Cal 105 30 20
80 Com Sci Statistics or (Computer Science and Calculus)? 90
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50 (Statistics or Computer Science) and Calculus? Stat Cal 105 30 20
80 Com Sci (Statistics or Computer Science) and Calculus? 50
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