PROBABILITY

PROBABILITY

1. TYPES

   • Empirical Probability: When probability is based on actual experiments. Suppose event E has happened. When experiment is performed, then
   • Measurement Probability: When repetition of an experiment can be avoided for exact probability
   • Classical Probability: Probability of an event denotes likelihood of its happening.

2. RANDOM EXPERIMENT

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

3. SAMPLE SPACE

   • Set of all possible outcomes of an experiment

4. EVENT

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

5. EQUALLY LIKELY EVENTS

   • Different outcomes having an equal chance of occurence

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

7. PROBABILITY OF EVENTS

   • SUM
     • Sum of the probabilities of all events is always one. Suppose there are n events corresponding to a random experiment. Then,
   • COMPLEMENTARY EVENTS
   • CERTAIN OR SURE EVENTS
     • Probability of such an event is equal to 1
   • IMPOSSIBLE EVENT
     • Probability of such an event is 0

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