Probabilities – Events

 

Probabilities - Events

 
 

Introduction to probabilities

 

  • Events / Sample Space
  • Probability scale: Range from 0 to 1
  • Probability of a single Event
 

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Mutually Exclusive Events

 

2 mutually exclusive events A & B

  • P(A or B) = P(A) + P(B)
  • Events that cannot happen at the same time
  • aka 'OR' rule

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Non Mutually Exclusive Events

 

2 non mutually exclusive events A & B

  • P(A∪B) = P(A) + P(B) - P(A∩B)
  • A Union B ('OR' rule for non mutually exclusive events)
 

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Independent Events

 

2 independent events A & B

  • P(A and B) = P(A) × P(B)
  • Outcome of event A does not impact the probability of event B.
  • 'AND' rule for independent events
 

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Dependent Events

 

2 dependent events A & B

  • P(A and B) = P(A) × P(B|A)
  • Outcome of event A does impact the probability of event B.
  • 'AND' rule for dependent events
 

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