- Theoretical probability associated with an event E is defined as “If there are ‘n’ elementary events associated with a random experiment and m of these are favourable to the event E then the probability of occurrence of an event is defined by P(E) as the ratio mn “.
- If P(E) = 1, then it is called a ‘Certain Event’.
- If P(E) = 0, then it is called an ‘Impossible Event’.
- The probability of an event E is a number P(E) such that: 0 ≤ P(E) ≤ 1
- An event having only one outcome is called an elementary event. The sum of the probabilities of all the elementary events of an experiment is 1.
- For any event E, P(E) + P(E¯) = 1, where E¯ stands for ‘not E’. E and E¯ are called complementary events.
- Favourable outcomes are those outcomes in the sample space that are favourable to the occurrence of an event.
The topics discussed in this chapter are as follows:
- What is Probability?
- Experimental Probability
- Theoretical Probability
- Elementary Event
- Sum of events
- Impossible and sure event
- Geometric Probability
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