Probability is a branch of mathematics that measures the likelihood of an event occurring. It helps predict possible outcomes in situations involving uncertainty and is widely used in science, business, statistics, and everyday life.

This chapter is important for CBSE Board Exams and Competitive Exams.

What is Probability?

Probability is the numerical measure of the chance that an event will occur.

The value of probability always lies between:

  • 0 (Impossible Event)
  • 1 (Certain Event)

A higher probability indicates a greater chance of occurrence.

Important Terms in Probability

Experiment

An activity that produces one or more outcomes.

Outcome

A possible result of an experiment.

Event

A collection of one or more outcomes related to a particular situation.

Sample Space

The complete set of all possible outcomes of an experiment.

Theoretical Probability

Theoretical probability is calculated based on all possible outcomes of an experiment.

It is determined before performing the experiment and is based on mathematical reasoning.

Chapter - 14: Probability
1 / 0 100%


Types of Events

Certain Event

An event that is sure to happen.

Impossible Event

An event that cannot occur.

Equally Likely Events

Events having the same chance of occurring.

Applications of Probability

Probability is used in:

  • Weather Forecasting
  • Insurance Industry
  • Sports Analysis
  • Business Decisions
  • Scientific Research

It helps in making predictions and informed decisions.

Importance of Probability

  • Develops logical reasoning skills.
  • Helps analyze uncertain situations.
  • Supports statistical studies.
  • Useful in real-life decision-making.

Importance for CBSE Exams

Probability is a scoring chapter in Class 10 Maths. Questions are frequently asked on sample space, outcomes, events, theoretical probability, and application-based problems.