Class 10 Maths - BIHAR

Probability

The Probability chapter in Class 10 Mathematics introduces students to the quantitative measure of uncertainty and likelihood of events happening. Building on basic concepts from earlier classes, this chapter focuses mainly on the theoretical (classical) definition of probability. Students learn to calculate the probability of simple events involving coins, dice, playing cards, and numbered balls. This is a scoring and crucial chapter for the Bihar School Examination Board (BSEB) matriculation exam, frequently featuring direct formula-based application questions as well as interesting word problems that test logical reasoning and fundamental arithmetic skills.

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Key Concepts

Experiment and Outcome

An action that yields some results is called an experiment, and each possible result of the experiment is called an outcome.

Sample Space

The complete set of all possible outcomes of a given random experiment is known as the sample space.

Event

A subset of the sample space representing a single outcome or a combination of outcomes is called an event.

Elementary Event

An event that has only one single outcome of the experiment is called an elementary event.

Complementary Event

The event representing 'not E', denoted by E', consists of all outcomes in the sample space that are not part of event E.

Important Formulas

P(E) = Number of favorable outcomes 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 Bihar (BSEB) Class 10 Mathematics examination, Probability typically carries around 4 to 6 marks. Questions usually include 1 to 2 objective (multiple-choice) questions and a short or long answer-type word problem based on cards, dice, or bags containing colored balls.

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).

What is the probability of a sure or certain event?

The probability of a sure event is always 1, because it will definitely happen.

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.

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