Probability

Probability

1. Basic concepts

   • outcomes
     • posible results 
   • Sample espace
     • set of potential
   • event
     • subset of sample space
   • experiments
     • any measurement

2. Formulas

   • P(E)= Number of favoral results / Number of total results
   • P(e)= Number of occurred events / Number of times it was performed

3. "NOT"&"OR"

   • propertis of pobability 
   • Ceartain event
     • P(S)=1
   • impossible event
     • P(Ø )=0
   • probability value
     • 0<P(E)<=1
   • Probability of the complement
     • P(NoE)=1-P(E) P(E)+P(E')=1
   • Addition rule of probability
     • P(E)+P(E')=1

4. Events involving "and"

   • Conditional probability formula
     • P(B/A)=P(AnB)/P(A) P(A/B)=P(AnB)/P(B)
   • For independent events
     • P(B/A)=P(B)

5. Venn Diagrams

   • Intersection
     • AnB={x|x EA y  XEB}
   • Complement
     • A'={x|x  ∉A}
   • Union
     • AuB={x|x EA oXEB}
   • Diference
     • A-B={x|x EA y x ∉B}