Probability

Probability

1. Random Experiment

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

2. Sample space

   • Set of all possible outcomes of an experiment

3. Event

   • An outcome random experiment or an event is somthing that happen

4. Equally likely Events

   • The different outcoms have the same as equeal chance of occurrence

5. Probability of any event can never be less than 0 and not more than 1

   • 0<=P(E) <=1

6. Types

   • 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 event E occured / Number of times the experiment was performed
   • Measurement Probability
     • When repetition of an experiment can be avoided for exact probability.
       • Probability = No. of favourable outcomes / No. of all possible outcomes
   • Classical Probability
     • Probability of an event denotes likelihood of its happening
       • P(E) = No. of event favourable / Total number of all possible event

7. Probability of Events

   • Sum
     • Sum of the probability of all events is always one e.g. Suppose these are n event corresponding to a random experiment, them P(E1) + p(E2) + P(E3) +--------P(En)=1
   • complementary event
   • Certain event or sure event
     • Probability of an event is equeal to 1
   • Impossible Event
     • Probability of an event is equeal to 0

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