Event

Event

1. Mutually Exclusive

2. Collectively Exhaustive

3. Dependent

   • Marginal
     • P(X)
   • Joint
     • P(X|Y) = P(XY)P(Y)
   • Conditional
     • P(X|Y) = P(XY)/P(Y)

4. Independent

   • Marginal
     • P(x)
   • Joint
     • P(XY)
   • Conditional
     • P(X|Y)
       • The probability of Event X given event Y has occurred P(X|Y) = P(X)

5. Bayes

   • Posterior(Revised) probability
     • P(X) = P(X|Y) P (Y)/ (P(x|Y)P(Y) + P(X| Y2)/ P(Y2))