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Formula Sheet

Probability

Madhya Pradesh Board · Class 12 · Mathematics

All formulas from Probability in Madhya Pradesh Board Class 12 Mathematics. Key equations, constants, and identities for board exam preparation.

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A Venn diagram illustrating a partition of a sample space S into several pairwise disjoint and exhaustive events E1, E2, ..., En.
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10 Formulas · 3 Sections

Formulas

2. Conditional Probability

P(E|F) = P(E ∩ F) / P(F), P(F) ≠ 0

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

P((A ∪ B)|F) = P(A|F) + P(B|F)

P(E'|F) = 1 - P(E|F)

3. Multiplication Rule

P(E ∩ F ∩ G) = P(E) P(F|E) P(G|EF)

4. Independent and Dependent Events

P(F|E) = P(F) and P(E|F) = P(E)

P(E ∩ F) = P(E) · P(F)

P(E ∩ F) ≠ P(E) · P(F)

P(A ∩ B) = P(A)P(B) for every pair of events from two experiments

P(A ∩ B) = P(A)P(B), P(A ∩ C) = P(A)P(C), P(B ∩ C) = P(B)P(C), and P(A ∩ B ∩ C) = P(A)P(B)P(C)

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Frequently Asked Questions

What are the important topics in Probability for Madhya Pradesh Board Class 12 Mathematics?
Probability covers several key topics that are frequently asked in Madhya Pradesh Board Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Probability — Madhya Pradesh Board Class 12 Mathematics?
Understand the core concepts first, then work through the 160 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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