Probability

Probability

1. Phenomenoms

   • Random
     • can't be predicted with the inf. given
   • Deterministic
     • It can be predicted with the inf. given

2. Experiment

   • the results are named
     • Outcomes
       • All possible outcomes
         • Sample space
           • Any such subset is an
             • Event

3. formula

   • P(E)=(# of favorable outcomes )/(Total # of outcomes)

4. "NOT" and "OR"

   • Or
     • P(A or B)= P(A) + P(B) - P(A and B)
     • Mutually exclusive
       • P(A or B)= P(A) + P(B)
   • Not
     • P(not E)= 1-P(E)

5. AND

   • P=(A|B)

6. Union: A B = { x | x A x B } Intersection: A B = { x | x A x B } Difference A - B = { x | x A x B }