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Revision Notes

Probability

Madhya Pradesh Board · Class 10 · Mathematics

Quick revision notes for Probability — Madhya Pradesh Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

129 questions60 flashcards5 concepts

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A Venn diagram showing a sample space (S) and an event (A), with the region outside A but within S shaded to represent the complementary event (A').
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Key Topics to Revise

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1. Basic Idea of Probability

  • A fair coin is symmetrical, so there is no reason for it to come down more often on one side than the other.
  • A random toss means the coin falls freely without bias or interference.
  • For a fair coin, head and tail are equally likely outcomes.
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2. Important Definitions and General Rules

  • An event having only one outcome of the experiment is called an elementary event.
  • The sum of the probabilities of all elementary events of an experiment is 1.
  • For any event E, the probability of not E is 1 - P(E).
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3. Standard Examples from Coins, Dice, Balls, and Cards

  • For one coin toss, the outcomes are head and tail, so P(head) = 1/2 and P(tail) = 1/2.
  • For a bag with a red, blue, and yellow ball, Kritika has probability 1/3 of drawing any one specific colour.
  • For a die, getting a number greater than 4 has 2 favourable outcomes: 5 and 6, so probability is 2/6 = 1/3.
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4. Complementary Events and Direct Applications

  • If the probability of one event is given, the probability of its complement can be found quickly.
  • If Sangeeta's probability of winning is 0.62, then Reshma's probability of winning is 0.38.
  • For two friends, Savita and Hamida, the probability that their birthdays are different is 364/365.

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Full Notes

Key Concepts

Outcomes are equally likely when eachEmpirical probability is based on trialsTheoretical probability is the ratioAn event having only one outcomeThe complement of an event E

Frequently Asked Questions

What are the important topics in Probability for Madhya Pradesh Board Class 10 Mathematics?
Probability covers several key topics that are frequently asked in Madhya Pradesh Board Class 10 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 10 Mathematics?
Understand the core concepts first, then work through the 129 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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