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Probability

Learning tasks
                                      
Lesson Summary
Text book
Exercises Correction
Algebra of Events
      Sample Space
            Finding the sample spacesEx 1 Ex 2 Ex 3 Ex 4
      Events
            Finding the eventsEx 5 Ex 6 Ex 7 Ex 8 Ex 9
      Complementary Event
            Finding the Complementary EventsEx 10 Ex 11 Ex 12 Ex 13 Ex 14
      Multi-Step Random Experiments
            Finding Outcome in a TableEx 15 Ex 16 Ex 17 Ex 18 Ex 19
            Counting the Number of Possible Outcomes in a tableEx 20 Ex 21 Ex 22 Ex 23
            Counting the Number of Possible Outcomes for an EventEx 24 Ex 25 Ex 26 Ex 27 Ex 28 Ex 29
            Counting the Number of Possible Outcomes in an Tree diagramEx 30 Ex 31 Ex 32 Ex 33 Ex 34 Ex 35
      \(E\) or \(F\)
            Finding the Union of Two EventsEx 36 Ex 37 Ex 38 Ex 39
            Finding the Union of Two EventsEx 40 Ex 41 Ex 42 Ex 43
            Finding the Union of Two Events from a TableEx 44 Ex 45 Ex 46
      \(E\) and \(F\)
            Finding the Intersection of Two EventsEx 47 Ex 48 Ex 49 Ex 50
            Finding the Intersection of Two EventsEx 51 Ex 52 Ex 53 Ex 54
            Finding the Intersection of Two Events from a TableEx 55 Ex 56 Ex 57
      Mutually Exclusive
            Determining Mutual ExclusivityEx 58 Ex 59 Ex 60 Ex 61
            Determining Mutual Exclusivity from TablesEx 62 Ex 63 Ex 64 Ex 65
      Venn Diagram
            Finding the Union of Two Events in a Venn DiagramEx 66 Ex 67 Ex 68 Ex 69
            Finding the Intersection of Two Events in a Venn DiagramEx 70 Ex 71 Ex 72 Ex 73
Probability
      Definition
            Determining the ProbabilityEx 74 Ex 75 Ex 76 Ex 77 Ex 78
            Finding Probability for Mutually Exclusive EventsEx 79 Ex 80 Ex 81 Ex 82
      Probability Rules
            Applying the Complement RuleEx 83 Ex 84 Ex 85 Ex 86 Ex 87 Ex 88
            Completing a Probability Tree DiagramEx 89 Ex 90 Ex 91 Ex 92 Ex 93
            Calculating Probabilities for Union of EventsEx 94 Ex 95 Ex 96 Ex 97
            Calculating Probabilities for Union of Events in Real-World ProblemsEx 98 Ex 99 Ex 100 Ex 101
      Equally Likely
            Determining the ProbabilityEx 102 Ex 103 Ex 104 Ex 105
            Determining the Probability In Multi-Step Random ExperimentsEx 106 Ex 107 Ex 108 Ex 109 Ex 110
            Cracking ProbabilitiesEx 111 Ex 112 Ex 113 Ex 114 Ex 115 Ex 116
Conditional Probability
      Definition
            Exploring Probabilities with Two-Way TablesEx 117 Ex 118 Ex 119 Ex 120 Ex 121 Ex 122 Ex 123 Ex 124 Ex 125
            Calculating Conditional ProbabilitiesEx 126 Ex 127 Ex 128 Ex 129
            Calculating Conditional Probabilities in Real-World ProblemsEx 130 Ex 131 Ex 132 Ex 133
      Conditional Probability Tree Diagrams
            Conditional Probability Tree Diagrams: Level 1Ex 134 Ex 135 Ex 136 Ex 137
            Conditional Probability Tree Diagrams: Level 2Ex 138 Ex 139 Ex 140 Ex 141
      Joint Probability: \(P(E \text{ and } F)\)
            Calculating Joint Probabilities with TreesEx 142 Ex 143 Ex 144 Ex 145
      Law of Total Probability
            Calculating Probabilities with TreesEx 146 Ex 147 Ex 148 Ex 149
            Calculating Probabilities in Real-World ProblemsEx 150 Ex 151 Ex 152 Ex 153
      Bayes’ Theorem
            Unveiling the Hidden Cause: Bayes' Theorem in Rare Event DetectionEx 154 Ex 155 Ex 156 Ex 157 Ex 158
Probability of Independent Events
      Definition
            Reading Probability TreeEx 159 Ex 160 Ex 161 Ex 162
            Finding the probability with independent eventsEx 163 Ex 164 Ex 165 Ex 166 Ex 167