Probability

Probability

1. Probability of an event can never be less than 0 or not more than 1

   • 0<P[E]<1

2. Equally likely events

   • The different outcomes have the same as equal chance of occurence

3. Event

   • An event of a random experiment or an event is something that happen

4. Sample Space

   • Set of all possible outcomes of an experiment

5. Random Experiment

   • Random experiment may result in 2 or more outcomes:
     • 1]Tossing a coin
     • 2]Throwing a dice

6. Impossible event

   • Probability of an event is equal to 0

7. Certain Event

   • Probability of an event is equal to 1

8. Complementary event

   • P[e}+B[E]=1 or
     • P[E]=1-P[E]
       • P[E]=P[not E]
         • =complementary events

9. Sum

   • Sum of the probability is
     • always 1.Eg-Suppose these are n
       • events corresponding to a random
         • experiment then
           • P[E1]+p[E2]+....p[En]=1

10. Classical probability

    • probability of an event denotes likelihood
      • of its happening

11. Measurement probability

    • When repitition of an experiment can be
      • avoided for exact probability
        • So Probability will be
          • =No of outcome/No of possible outcome

12. Empirical probability

    • When probability is based on an actual
      • experiment suppose event E is happen
        • when experiment is performed then P[E]
          • =No of times E occured/No of times experiment was done