Number System and Arithmetic 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: \text{Probability} = \dfrac{Favourable \ Outcome}{Total \ Number \ of \ Outcomes} 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. Conditional Probability Real-Life Applications Test your understanding with problems of different difficulty levels. Practice: | Easy | Medium | Hard Binomial Distribution Practice Conditional Probability Practice For Aptitude Preparation Practice probability questions commonly asked in exams. Interesting Facts Aptitude Questions Advanced Topics Explore advanced probability concepts and distributions. Random Variable Poisson Distribution Probability Distribution Probability Distribution Function Binomial Distribution Geometric Distribution Marginal Distribution For Programmers Apply probability concepts in programming problems. Probability of reaching a point in 2 or 3 steps Probability of the maximum weighted pair Probability of maximum sum in an array Probability of numbers in AP Birthday Paradox Probability of reaching all points in N moves Numbers in Maths 2 min read

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