Probability

Probability

1. Basic Concepts

   • Experiments
     • Fenomeno aleatorio del cual no sabes el resultado
   • Event
     • Subconjunto del espacio muestral
   • Sample Espace
     • Conjunto de posibles resultados
   • Outcomes
     • Efectos de un experimento

2. Probability Formulas

   • Theoretical Probability Formula
     • (n(E))/(n(S)): Eventos favorables entre Eventos totales
   • Epirical Probability Formula
     • (# de veces que ocurre el evento)/(# de experimentos)

3. Types of Events

   • Events Involving not and or
     • Adition rule of probability
       • P(AUB)=P(A)+P(B)-P(AUB)
     • Properties of probability
       • Certain event
         • P(S)=1
       • Imposible event
         • P(0)=0
       • Probability values
         • 0<=P(e)<=1
     • Probability of the complement
       • P(E')=1-P(E)
   • Events involving and
     • Multiplication Rule of Prubability
       • For independent events
         • P(AyB)=P(A)*P(B)
         • P. de B ya que A ya ocurrio
       • For any two events
         • P(AyB)=P(A)*P(B/A)
     • Conditional probability formula
       • P(B/A)=(P(AnB))/(P(A))

4. Venn Diagrams

   • Complement
     • A'=(X/X E U y X noE A)
   • Intersection
     • AnB=(X/X E A y X E B)
       • No supe como hacer los corchetes :S&nbsp;
   • Difference
     • A-B=(X/X E A y X noE B)
   • Union
     • AoB=(X/X E A o X E B)

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