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Probability in Maths

Last Updated : 17 Jun, 2026

Probability is the branch of mathematics where we determine how likely an event is to occur. It is represented as a numeric value ranging from 0 to 1. Probability can be calculated as:

  • Favourable outcomes refer to the outcome we are interested in.
  • Total outcomes represent the complete set of possible results an event can produce.

Below are a few examples illustrating the concept of probability in different situations:

Examples of Probability

What are the chances of the following events when we pick a random number from 1 to 10 ?

  • The number is divisible by 1
    100% are divisible by 1, as all numbers are completely divisible by 1, so we say probability is 1.
  • The number is divisible by 11
    0% are divisible by 11 as, none of the number is divisible by 11 as they are greater, so we say probability is 0.
  • The number is divisible by 2
    50% are divisible by 2, numbers like (2, 4, 6, 8, 10), so we say probability is 1/2.
  • The number is divisible by 5
    20% are divisible by 5, numbers like (5 and 10) so we say probability is 1/5.

Why Learn Probability?

1. Improves Decision Making: Helps us choose the best option when outcomes are uncertain.

2. Useful in Real Life: Used in weather forecasting, insurance, sports, medicine, and business.

3. Develops Logical Thinking: Improves reasoning and problem-solving skills.

4. Essential for Data Science and AI: Machine learning, artificial intelligence, and statistics rely heavily on probability.

Probability for Beginners

Learn the basic ideas and applications of probability.

Practice

Test your understanding with problems of different difficulty levels.

For Aptitude Preparation

Practice probability questions commonly asked in exams.

Advanced Topics

Explore advanced probability concepts and distributions.

For Programmers

Apply probability concepts in programming problems.

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