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Study Plan

Probability — Study Plan

Madhya Pradesh Board · Class 12 · Mathematics

A step-by-step study plan for Probability, Madhya Pradesh Board Class 12 Mathematics: what to learn first, what to practise and when to revise.

160 questions50 flashcards12 formulas & key relations5 concepts

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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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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Core Ideas and Basic Setup, 2. Properties of Conditional Probability, 3. Multiplication Rule of Probability.

2
Day 3

Practise

Solve the textbook exercises and extra practice questions. There are 160 questions available for this chapter.

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Probability after a week. Use flashcards for quick recall and try past exam questions on this chapter.

What to Focus On

  • Conditional probability is probability after new information is given.
  • P(E|F) = P(E ∩ F) / P(F), with P(F) ≠ 0.
  • The condition changes the effective sample space.
  • Joint probability can be found using conditional probability.
  • The rule works for dependent events and successive trials.
  • For three events, use P(E ∩ F ∩ G) = P(E)P(F|E)P(G|EF).
  • Independence is defined both by conditional probability and by product form.
  • Dependent events are simply non-independent events.
  • Independent and mutually exclusive are different concepts.

Common Mistakes to Avoid

Conditional probability can be used even when the given event has probability zero.

Independent events and mutually exclusive events mean the same thing.

To test independence, one check is enough.

Memory Tips

Conditional probability definition

Requirement for conditional probability

Union under conditioning

Complement under conditioning

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Frequently Asked Questions

What are the important topics in Probability for Madhya Pradesh Board Class 12 Mathematics?
Key topics in Probability include Core Ideas and Basic Setup, Properties of Conditional Probability, Multiplication Rule of Probability, Independent and Dependent Events. Study these first, then practise questions on each for the Madhya Pradesh Board Class 12 board exam.
How should I revise Probability for the Madhya Pradesh Board Class 12 board exam?
Learn the core ideas first, then work through the 160 practice questions on Probability. Revise 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.

More resources for Probability

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