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Probability

Madhya Pradesh Board · Class 11 · Mathematics

Quick revision notes for Probability — Madhya Pradesh Board Class 11 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

157 questions68 flashcards5 concepts

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Key Topics to Revise

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1. Events and Sample Space

  • The sample space serves as a universal set for all questions concerned with the experiment.
  • An event E is said to have occurred if the outcome ω of the experiment satisfies ω ∈ E.
  • Any subset E of a sample space S is called an event.
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2. Algebra of Events

  • The complementary event A' is the event 'not A'.
  • The complementary event A' equals S - A.
  • The event 'A or B' is defined as the union A ∪ B.
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3. Axiomatic Approach to Probability

  • The probability P is a real-valued function whose domain is the power set of S and range is [0,1].
  • For any event E, P(E) ≥ 0.
  • P(S) = 1.
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4. Probability of Equally Likely Outcomes

  • For equally likely outcomes, P(ωi) = 1/n where n is the number of sample points.
  • If n(S) = n and n(E) = m, then P(E) = m/n.
  • Probability of an event is the number of favourable outcomes divided by the total number of outcomes, when all outcomes are equally likely.

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Full Notes

Key Concepts

Any subset E of a sampleThe empty set φ isThe whole sample space SIf an event has exactly oneIf an event has more than

Frequently Asked Questions

What are the important topics in Probability for Madhya Pradesh Board Class 11 Mathematics?
Probability covers several key topics that are frequently asked in Madhya Pradesh Board Class 11 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 11 Mathematics?
Understand the core concepts first, then work through the 157 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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