Probability

Probability

1. Probability of any event can never be less than 0 and not more that 1 [0 ≤ P(E) ≤ 1]

2. Probability of events

   • Complementary event: P(E) + P(E) = 1 or P(E) = 1 - P(E) here, P(E) = P (not E) = Complimentary events.
   • Certain event or Sure event: Probability of an event is equal to 1
   • Impossible Event: Probability of an event is equal to 0
   • Sum: Sum of the probability of all events is always one. E.g. Suppose these are n events corresponding to a random experiment, them

3. Type

   • Empirical Probability: When probability is based on an actual experiment suppose event E is happen, 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 it happenings

4. Equally likely Events: The different outcomes have the same as the equal chance of occurrence

5. Event: An outcomes of a random experiment or an experiment

6. Sample space: Set of all possible outcomes of an experiment

7. Random Experiment: Random experiments may result in two or more outcomes. E.g. (I) tossing a coin (ii) throwing a dice

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