Class 10 Maths - ODISHA

Probability

The chapter 'Probability' in Class 10 Mathematics for BSE Odisha introduces students to the quantitative measure of uncertainty and chance. Based primarily on the experimental (empirical) and theoretical (classical) approaches, this chapter teaches you how to calculate the likelihood of an event occurring. You will solve engaging problems involving coin tosses, rolling dice, drawing cards from a standard deck, and everyday decision-making scenarios. This is a high-scoring topic in the Odisha Board exams, usually featuring direct formula-based questions and simple word problems, making it crucial for boosting your overall mathematics aggregate.

Start Learning Free

Key Concepts

Random Experiment

An experiment or action whose outcome cannot be predicted with certainty in advance, such as tossing a coin.

Sample Space

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

Elementary Event

An event that has only a single outcome of the random experiment.

Complementary Event

The event representing the non-occurrence of an event E, denoted as not E or P(E'), representing all outcomes outside of E.

Sure and Impossible Events

An event that is certain to happen has a probability of 1, while an event that cannot possibly happen has a probability of 0.

Important Formulas

P(E) = (Number of outcomes favorable to E) / (Total number of possible outcomes of the experiment)
P(E) + P(not E) = 1
0 <= P(E) <= 1

Board Exam Info

In the BSE Odisha Class 10 Mathematics board exam, Probability typically carries around 4 to 6 marks. Questions usually include 1-mark objective/multiple-choice questions and a 2-mark or 3-mark short answer problem based on dice, cards, or marbles.

Frequently Asked Questions

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

No, the probability of any event always lies between 0 and 1 inclusive (0 <= P(E) <= 1).

How many face cards are there in a standard deck of 52 playing cards?

There are 12 face cards in total: 4 kings, 4 queens, and 4 jacks.

What is the sum of probabilities of all elementary events of an experiment?

The sum of the probabilities of all the elementary events of an experiment is always equal to 1.

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 10