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Probability

Learning tasks
                                        
Lesson Summary
Text book
Exercises Correction
A) Algebra of Events
    I) Sample Spaces
      1) Finding the sample spacesEx 1 Ex 2 Ex 3 Ex 4 Ex 5
    II) Events
      2) Finding Events for Die-Rolling EventsEx 6 Ex 7 Ex 8 Ex 9
      3) Finding Events in a Casino SpinnerEx 10 Ex 11 Ex 12
    III) Complementary Events
      4) Finding the Complementary EventsEx 13 Ex 14 Ex 15 Ex 16
    IV) Multi-Step Random Experiments
      5) Finding Outcome in a TableEx 17 Ex 18 Ex 19 Ex 20 Ex 21
      6) Counting the Number of Possible Outcomes in a TableEx 22 Ex 23 Ex 24 Ex 25
      7) Counting the Number of Possible Outcomes for an EventEx 26 Ex 27 Ex 28 Ex 29 Ex 30 Ex 31
      8) Counting the Number of Possible Outcomes in a Tree diagramEx 32 Ex 33 Ex 34 Ex 35
    V) \(E\) or \(F\)
      9) Finding the Union of Two Events in Dice ExperimentEx 36 Ex 37 Ex 38
      10) Finding the Union of Two Events in Family ExperimentEx 39 Ex 40 Ex 41
      11) Finding the Union of Two Events from a TableEx 42 Ex 43 Ex 44
    VI) \(E\) and \(F\)
      12) Finding the Intersection of Two Events in Dice ExperimentEx 45 Ex 46 Ex 47
      13) Finding the Intersection of Two Events in Family ExperimentEx 48 Ex 49 Ex 50
      14) Finding the Intersection of Two Events from a TableEx 51 Ex 52 Ex 53
    VII) Mutually Exclusive
      15) Determining Mutual ExclusivityEx 54 Ex 55 Ex 56 Ex 57
      16) Determining Mutual Exclusivity from TablesEx 58 Ex 59 Ex 60 Ex 61
    VIII) Venn Diagram
      17) Finding the Union of Two Events in a Venn DiagramEx 62 Ex 63 Ex 64 Ex 65
      18) Finding the Intersection of Two Events in a Venn DiagramEx 66 Ex 67 Ex 68 Ex 69
B) Axioms and Rules of Probability
    I) Axioms of Probability
      19) Describing Probabilities with WordsEx 70 Ex 71 Ex 72 Ex 73 Ex 74
      20) Making Decisions Using ProbabilitiesEx 75 Ex 76 Ex 77 Ex 78
      21) Finding Probability for Mutually Exclusive EventsEx 79 Ex 80 Ex 81
    II) Fundamental Probability Rules
      22) Applying the Complement RuleEx 82 Ex 83 Ex 84 Ex 85 Ex 86
      23) Completing a Probability Tree DiagramEx 87 Ex 88 Ex 89 Ex 90 Ex 91
      24) Calculating Probabilities for Union of EventsEx 92 Ex 93 Ex 94 Ex 95
      25) Calculating Probabilities for Union of Events in Real-World ProblemsEx 96 Ex 97 Ex 98 Ex 99
    III) Equally Likely
      26) Finding Probabilities in a Casino SpinnerEx 100 Ex 101 Ex 102 Ex 103 Ex 104
      27) Finding Probabilities in a Dice ExperimentEx 105 Ex 106 Ex 107 Ex 108 Ex 109 Ex 110
      28) Calculating the Probability In Multi-Step Random ExperimentsEx 111 Ex 112 Ex 113 Ex 114 Ex 115
    IV) Probability of Independent Events
      29) Draw a Probability Tree for Two Independent EventsEx 116 Ex 117 Ex 118 Ex 119
      30) Calculating Probabilities from a Tree DiagramEx 120 Ex 121 Ex 122 Ex 123
      31) Calculating Probabilities from a Tree DiagramEx 124 Ex 125 Ex 126
      32) Calculating the Probability of Two Independent EventsEx 127 Ex 128 Ex 129 Ex 130
    V) Experimental Probability
      33) Calculating Experimental Probabilities in Percentage FormEx 131 Ex 132 Ex 133 Ex 134
      34) Conducting Experiments to Estimate ProbabilitiesEx 135 Ex 136
C) Conditional Probability
    I) Definition
      35) Exploring Probabilities with Two-Way TablesEx 137 Ex 138 Ex 139 Ex 140 Ex 141 Ex 142 Ex 143 Ex 144 Ex 145
      36) Calculating Conditional ProbabilitiesEx 146 Ex 147 Ex 148 Ex 149
      37) Calculating Conditional Probabilities in Real-World ProblemsEx 150 Ex 151 Ex 152 Ex 153
    II) Conditional Probability Tree Diagrams
      38) Identifying Conditional Probability Tree DiagramsEx 154 Ex 155 Ex 156 Ex 157
      39) Drawing Conditional Probability Tree DiagramsEx 158 Ex 159 Ex 160
    III) Joint Probability: \(P(E \cap F)\)
      40) Calculating Joint Probabilities with TreesEx 161 Ex 162 Ex 163 Ex 164
    IV) Law of Total Probability
      41) Calculating Probabilities with TreesEx 165 Ex 166 Ex 167 Ex 168
      42) Calculating Probabilities in Real-World ProblemsEx 169 Ex 170 Ex 171 Ex 172
    V) Bayes’ Theorem
      43) Unveiling the Hidden Cause: Bayes' Theorem in Rare Event DetectionEx 173 Ex 174 Ex 175 Ex 176