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Course: Statistics — Third Secondary
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Text lesson

Conditional Probability and Independent Events

Statistics — Third Secondary

Conditional Probability and Independent Events

Lesson summary

Lesson summary

Comparison aspectMain ideaKeywords
Conditional probability
  • P(A | B) = P(A ∩ B) ÷ P(B)
  • where P(B) ≠ 0
Multiplication ruleP(A ∩ B) = P(B) × P(A | B)
Independent events
  • P(A ∩ B) = P(A) × P(B)
  • or P(A | B) = P(A)
Mutually exclusive eventsP(A ∩ B) = 0. They are not independent unless one of them has probability zeroindependentunlessthemprobability
•
  • In drawing without replacement
  • the sample space changes after each draw
drawingwithoutreplacementsample
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