Probability

Probability

1. Probability of any event can never be less than 1 {0 ≤ P(E) ≤ 1}

2. Event

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

3. Equally likely Events

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

4. Sample space

   • Set of all possible outcomes of an experiment

5. Random Experiment

   • Random experiment may result in two or more outcomes e.g. (i) tossing a coin (ii) throwing a dice

6. Types

   • Empirical Probability
     • When probability is based on an actual experiment suppose event E is happen, when experiment is performed, then P(E)=
   • Measurement Probability
     • When repetition of an experiment can be avoided for exact probability. Therefore, P(E)=
   • Classical Probability
     • Probability of an event denotes likelihood of its happening. Therefore, P(E)=

7. Probabilty of Events

   • Sum
     • Sum of the probability of all events is always one e.g. Suppose these are n events corresponding to a random experiment, then P(E1)+P(E2)+P(E3)+----P(En)=1
   • Complementary event
     • P(E)+P(E')=1 or P(E')=1-P(E) here, P(E')=P(not E')=complementary events..
   • Certain event or sure event
     • Probability of an event is equal to 1
   • Impossible event
     • Probability of an event is equal to 0