Probability

Probability

1. Probability formulas

   • Theoretical probability
     • P(E)= number of favorable results/ total of results
   • Empirical probability
     • P(E)=number of times that event occur/ number of times the experiment were realized

2. Events involving "not" and "or"

   • Probability of the complement
     • P(E)= 1-P(E)
   • Addition rule of probability
     • P(E)+P(E)=1

3. Events involving "and"

   • for independent events
     • P(B/A)=P(B)
   • Conditional Probability formula
     • P(A n B)/P(A)

4. Set operations

   • Union
     • AUB= (xlxEA o XEB)
   • Difference
     • A-B=(xlxEA y xEB)
   • Intersection
     • AnB (xlx EA y xEB)
   • Complement
     • A(xlx not equal A)

5. Basic concepts

   • Event
     • Any such subset that is in the sample space
   • Outcomes
     • Possible results of an experiment
   • Sample space
     • set of possible results
   • Experiments
     • Any measurement, observation of a randon phenomenon

6. Odds

   • Compare the number of favorable outcomes with the number of unfavorable