Class 9 Maths - ODISHA

Probability

The chapter 'Probability' in Class 9 Mathematics under the Odisha BSE board introduces students to the mathematical study of uncertainty and chance. You will learn how to measure the likelihood of an event occurring based on observations and experiments. The curriculum covers empirical or experimental probability, where outcomes are determined by actually performing or recording trials. This chapter is vital for the BSE Odisha board exams as it tests both conceptual understanding and basic arithmetic calculation. Mastering this topic not only helps you score high marks in school assessments but also builds a strong foundation for advanced statistics in higher classes.

Start Learning Free

Key Concepts

Random Experiment

An experiment whose outcome cannot be predicted with certainty in advance, even though all possible outcomes are known.

Sample Space

The complete set of all possible outcomes of a random experiment.

Event

A collection of one or more outcomes of an experiment, representing a specific subset of the sample space.

Empirical Probability

The probability of an event calculated on the basis of the results of an actual experiment or historical data.

Range of Probability

The probability of any event always lies between 0 and 1, inclusive, where 0 represents an impossible event and 1 represents a sure event.

Important Formulas

Probability of an event P(E) = (Number of trials in which the event happened) / (Total number of trials)
Sum of probabilities of all elementary events of an experiment = 1
P(E) + P(Not E) = 1

Board Exam Info

In the Odisha BSE Class 9 examination, Probability typically carries around 4 to 6 marks. Questions usually include 1-mark objective multiple-choice questions (MCQs), short-answer fill-in-the-blanks, and 2 to 3-mark word problems based on coin tosses, rolling dice, drawing cards, or survey data.

Frequently Asked Questions

Can the probability of an event ever be negative or greater than 1?

No, probability can never be less than 0 or greater than 1. It is always expressed as a fraction, decimal, or percentage between 0% and 100%.

What is the difference between theoretical and empirical probability in Class 9?

In Class 9 BSE syllabus, you primarily study empirical (experimental) probability, which depends on actual trial results. Theoretical probability is based on logical reasoning without conducting experiments, which you will study in later classes.

How should I write the final answer for probability word problems in the board exam?

Always write the formula first, state the total number of possible outcomes and favorable outcomes clearly, substitute the values, and reduce the final fraction to its simplest form.

Learn Probability with Your AI Tutor

10 different ways to study this chapter. Free for 3 chapters per day.

Lecture

Key Points

Interactive

Quiz

Flashcards

Start Learning Free

More Maths Chapters - ODISHA Class 9