Unit 3-2

# Unit 3-2 - events • Helpful in calculating probabilities...

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Sample space the collection of all possible outcomes of a chance experiment Roll a die S={1,2,3,4,5,6}
Event any collection of outcomes from the sample space Rolling a prime # E= {2,3,5} Rolling a prime # or even number E={2,3,4,5,6}

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Complement Consists of all outcomes that are not in the event Not rolling a even # E C ={1,3,5}
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} B A E =

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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} B A E =
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

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Unformatted text preview: events • Helpful in calculating probabilities Venn diagram - Complement of A A A Venn diagram - A or B A B Venn diagram - A and B A B Venn diagram - disjoint events A B Com Sci Statistics & Computer Science & not Calculus Stat Cal Com Sci Calculus or Computer Science Stat Cal Com Sci (Statistics or Computer Science) and not Calculus Stat Cal Com Sci Statistics and not (Computer Science or Calculus) Stat Cal Com Sci Stat Cal Com Sci Statistics or Computer Science? 30 105 20 10 10 20 80 170 Stat Cal Com Sci Statistics and Computer Science? 30 105 20 10 10 20 80 20 Stat Cal Com Sci Statistics or (Computer Science and Calculus)? 30 20 105 10 20 80 10 90 Stat Cal Com Sci (Statistics or Computer Science) and Calculus? 30 20 105 10 10 20 80 50...
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## This note was uploaded on 12/09/2011 for the course STATS 221 taught by Professor Nielson during the Fall '10 term at BYU.

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Unit 3-2 - events • Helpful in calculating probabilities...

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