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Chapter 25 of 27
Formula Sheet

ProbabilityFormula Sheet

IISER Aptitude Test · Mathematics

Free Probability formula sheet for IISER Aptitude Test Mathematics 2026 — all important formulas, equations, and constants for quick reference.

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A Venn diagram illustrating conditional probability P(A|B), showing the sample space, event B as the reduced sample space, and the intersection A ∩ B within B.
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Formula Sheet — Probability

Important formulas and equations from Probability for IISER Aptitude Test Mathematics.

Formulas — Probability

Conditional Probability

P(A|B) = P(A ∩ B) / P(B)
P((A ∪ B)|F) = P(A|F) + P(B|F) - P((A ∩ B)|F)
P(A'|B) = 1 - P(A|B)

Multiplication Theorem

P(A ∩ B) = P(A) × P(B|A) = P(B) × P(A|B)
P(A ∩ B ∩ C) = P(A) × P(B|A) × P(C|AB)
P(A₁ ∩ A₂ ∩ ... ∩ Aₙ) = P(A₁) × P(A₂|A₁) × P(A₃|A₁A₂) × ... × P(Aₙ|A₁A₂...Aₙ₋₁)

Independent Events

P(A ∩ B) = P(A) × P(B)
P(A|B) = P(A) and P(B|A) = P(B)
P(A₁ ∩ A₂ ∩ ... ∩ Aₙ) = P(A₁) × P(A₂) × ... × P(Aₙ)

Bayes' Theorem

P(Eᵢ|A) = [P(Eᵢ) × P(A|Eᵢ)] / [∑ P(Eⱼ) × P(A|Eⱼ)]
P(A) = ∑ P(Eᵢ) × P(A|Eᵢ)

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Frequently Asked Questions

What topics are covered in Probability for IISER Aptitude Test?
Probability is an important chapter in IISER Aptitude Test Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: 13.2 Conditional Probability, 13.3 Multiplication Theorem, 13.4 Independent Events, 13.5 Bayes' Theorem and Total Probability.
How important is Probability for IISER Aptitude Test?
Probability is a frequently tested chapter in IISER Aptitude Test Mathematics. Questions from this chapter appear regularly in previous year papers. There are 370 practice questions available for this chapter.
How to prepare Probability for IISER Aptitude Test?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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Get the full Probability chapter — for free.

Practice questions, revision notes, formula sheet and AI doubt-solver for IISER Aptitude Test Mathematics.