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Probability

    Probability - A theoretical approach

    Summary

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10th class > Probability > Summary

Summary

In this chapter, you have studied the following points :

  1. The theoretical (classical) probability of an event E, written as P(E), is defined as P (E) = Number of outcomes favourable to ENumber of all possible outcomes of the experiment

where we assume that the outcomes of the experiment are .

2. The probability of a sure event (or certain event) is .

3. The probability of an impossible event is .

4. The probability of an event E is a number P(E) such that ≤ P (E) ≤

5. An event having only one outcome is called an event.

The sum of the probabilities of all the elementary events of an experiment is .

6. For any event E, P (E) + P(E′) = 1, where E′ stands for ‘not E’. E and E′ are called events.

A NOTE TO THE READER

The experimental or empirical probability of an event is based on what has actually happened while the theoretical probability of the event attempts to predict what will happen on the basis of certain assumptions. As the number of trials in an experiment, go on increasing we may expect the experimental and theoretical probabilities to be nearly the same.