# NCERT CBSE Class 10th Mathematics Chapter 15: Probability

Safalta Expert Published by: Sylvester Updated Wed, 22 Jun 2022 06:55 PM IST

## Highlights

NCERT CBSE Class 10th Mathematics Chapter 15: Probability

The fifteenth chapter in Mathematics textbook is 'Probability'.
• 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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