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# NCERT Solutions for Class 10 Maths, Chapter 15 - Probability

The Probability Theory has its origin in the 16th century in – ‘The Book on Games of Chance’, which was written by an Italian physician and mathematician J.Cardan. Other great mathematicians of all time, Pierre Simon Laplace, James Bernoulli, A. de Moivre also made noteworthy contributions to Probability. Laplace’s book, ‘Theorie Analytique des Probabilities’, published in the year 1812, is considered to be one of the greatest contributions by a person to the Theory of Probability. In modern days, probability finds wide applications in various fields such as Economics, Biology, Physics, Sociology, Genetics etc.

Probability can be defined as the chance/possibility of things happening in future. It is usually expressed as a decimal, a fraction, as ‘odds’, or as a percentage between 0 to 1. Earlier in class 9, you have learnt about empirical/experimental probabilities of events that are based on the results of actual experiments. In this chapter, you will study about the difference between experimental probability and theoretical probability, probability of a sure event, impossible event, etc.

Let us take a look at the topics and sub-topics of Probability Class 10 NCERT Solutions-

15.1 Introduction

15.2 Probability: A theoretical Approach

15.3 Summary

In Class 10 Maths Probability, we study -

• The difference between experimental probability and theoretical probability.

• The probability of a sure event is 1

• The probability of an impossible event is 0

• Elementary event – It is defined as an event having only one outcome. The sum total of the probabilities of all the elementary events of a given experiment is 1.

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