Probability

Probability

1. Basic Concepts

   • oucomes
     • posible results
   • sample space
     • all posible outcomes
   • event
     • piece of sample space
   • experiments

2. Probability Formulas

   • Empirical
     • # times that E happens over #times experiment was performed
   • Theoretical
     • # favorable outcoes over total outcomes

3. Odds

   • 1/6= 1 to 5 odds in favor - 5 to 1 odds against

4. events involving not and or

   • properties of probability
     • certain event
       • P=1
     • Impossible event
       • P=0
     • Probability value
       • P
   • Addition rule of probability
     • P(A)+P(B)-P(AinterseccionB)
       • mutually exclusive events
         • P(A)+P(B)

5. events involvin and

   • multiplication rule of probability
     • for any 2 events
       • A and B=P(B)P(B/A)
     • for independent events
       • P(A and B)=P(A)xP(B)
   • conditional probability formula
     • P(B/A)=P(A int B)/P(A)

6. Venn Diagrams

   • Set operations
     • complement
       • A'={x/x E U and x E A}
     • intersection
       • AintB={x/x E A or x E B}
     • difference
       • A-B={(x,y)/x An and E B}
     • Union
       • AUB={x/x E A or x E B}