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Probability

Madhya Pradesh Board · Class 12 · Mathematics

Quick revision notes for Probability — Madhya Pradesh Board Class 12 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

160 questions50 flashcards5 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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Key Topics to Revise

1

1. Core Ideas and Basic Setup

  • Probability is treated as a function of outcomes in the axiomatic approach.
  • A random experiment has a sample space S made of all possible outcomes.
  • Events are subsets of the sample space.
2

2. Properties of Conditional Probability

  • If F has occurred, then S and F both have conditional probability 1 given F.
  • Union under conditioning follows the addition rule with overlap removed.
  • For disjoint events A and B, the conditioned union simplifies to a sum.
3

3. Multiplication Rule of Probability

  • The multiplication rule is obtained from conditional probability.
  • It gives probability of simultaneous occurrence of events.
  • For two events, both forms P(E)P(F|E) and P(F)P(E|F) are valid when the required probabilities are nonzero.
4

4. Independent and Dependent Events

  • Independent events are events whose occurrence does not affect each other.
  • Two equivalent descriptions are used: conditional probability form and product form.
  • Dependent events are simply events that are not independent.

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Full Notes

Key Concepts

The probability of event E givenFor any event F with P(F)≠0For two eventsTwo events E and FThree events

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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