probability

probability

1. Empirical probability

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

2. Event

   • An event of random expriment or an event is something

3. Equally likely events

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

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

   • 0<P[E]<1

5. Classical probability

   • Probability of an event denotes likelihood
     • of its happening

6. Sum

   • Sum of probability is
     • always 1.Eg.suppose these are n
       • events corresponding to a
         • random experiment ,then
           • P[E1]+P[E2]+P[E3]+.....P[Ea]=1

7. Sample space

   • Set of all possible outcomes of an expriment.

8. Random expriment

   • Random expriment may result in two or more outcomes .
     • 1] Tossing a coin
     • 2] Throwing a dice

9. When repitition of an experiment can be

   • avoided for exact probability
     • so probability will be
       • =No of outcome/No of possible outcome
   • Measurement probability

10. Complementary event

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

11. Certain event

    • Probability of an event is equal to 1

12. Impossible event

    • Probability of an event is equal to 0