Probability

Probability

1. Basic Concepts

   • Outcomes
     • Possible effects obtained from an experiment
   • Sample espace
     • Set of all posible results.
   • Event
     • Sub.set of the simple space.
   • Experiments
     • Random phenomena.

2. Odds

   • If # a of results are favorable to event E there is a # B of events that are not favorable.

3. Event involving "not" and "or"

   • Probability of the complement
     • P(not E)=1-P(E)
   • Properties of probability
     • Certain event
       • P(s)=1
     • Impossible Event
       • P(O)=0
     • Addition rule of probability
       • P(A and B)=P(A)+P(B)-P(A and B)
         • P(A or B)= P(A)+P(B)

4. Events involving "and"

   • Multiplication rule
     • For any two events
       • P(A and B)=P(A)*P(B/A)
     • For independent events
       • P(A and B)=P(A)*P(B)
   • Conditional probality formula
     • Probability of B given A

5. Set Operations

   • Interseccion
     • A n B=(x/x E A and x E B)
   • Difference
     • A-B=(x/x E A and x not E B)
   • Union
     • A U B=(x/x E A or x E B)
   • Complement
     • A1=(x/x E U and x not E A)