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Published byMarilyn Marsh Modified over 9 years ago
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THE MATHEMATICAL STUDY OF RANDOMNESS
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SAMPLE SPACE the collection of all possible outcomes of a chance experiment Roll a dieS={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 # E C ={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 A A
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VENN DIAGRAM - A OR B AB
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VENN DIAGRAM - A AND B A B
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VENN DIAGRAM - DISJOINT EVENTS A B
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Com Sci Statistics & Computer Science & not Calculus StatCal Com Sci
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Calculus or Computer Science Stat Cal Com Sci
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(Statistics or Computer Science) and not Calculus StatCal Com Sci
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Statistics and not (Computer Science or Calculus) Stat Cal Com Sci
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Stat Cal Com Sci Statistics or Computer Science? 30 105 20 10 20 80 170
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Stat Cal Com Sci Statistics and Computer Science? 30 105 20 10 20 80 20
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Stat Cal Com Sci Statistics or (Computer Science and Calculus)? 3020 105 10 20 80 10 90
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Stat Cal Com Sci (Statistics or Computer Science) and Calculus? 3020 105 10 20 80 50
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