Class 10 Maths Chapter 14 – Probability: Quick Revision Notes
- This chapter covers theoretical (classical) probability only, not experimental probability
- P(E) = (favourable outcomes) / (total equally likely outcomes)
- 0 ≤ P(E) ≤ 1 always
- P(E)=0 → impossible event; P(E)=1 → sure/certain event
- P(E) + P(not E) = 1
- Sum of probabilities of all elementary events = 1
- Coin toss: 1 coin → 2 outcomes; 2 coins → 4 (HH,HT,TH,TT); n coins → 2ⁿ outcomes
- Single die: 6 outcomes; two dice together: 36 outcomes, sums range 2 to 12
- Deck of cards: 52 total, 4 suits × 13 cards, 12 face cards (4 each of J/Q/K), 26 red + 26 black
- “Removed and not replaced” problems reduce BOTH favourable and total counts for the next draw
- Reverse (unknown count) problems: set up P(E)=favourable/total as an equation and solve algebraically
- Area-based probability: P(E) = favourable area / total area
- Current 2026-27 syllabus: only Exercise 14.1 (25 Q) — the older Exercise 14.2 has been removed
- NCERT Solutions – Chapter 14
- Extra Questions (HOTS) – Chapter 14
- Revision Notes – Chapter 14
- Class 10 Maths Book (Catalog Page)
- Chapter 1: Real Numbers
- Chapter 2: Polynomials
- Chapter 3: Pair of Linear Equations in Two Variables
- Chapter 4: Quadratic Equations
- Chapter 5: Arithmetic Progressions
- Chapter 6: Triangles
- Chapter 7: Coordinate Geometry
- Chapter 8: – Introduction to Trigonometry
- Chapter 9: Revision Notes - Some Applications of Trigonometry
- Chapter 10: Revision Notes - Circles
- Chapter 11: Areas Related to Circles Revision Notes
- Chapter 12: Surface Areas and Volumes Revision Notes
- Chapter 13: Statistics Revision Notes
Frequently Asked Questions
Is Probability an easy scoring chapter for Class 10 boards?
Yes — it is considered one of the more straightforward, high-scoring chapters since it relies on one core formula and careful counting rather than lengthy derivations, provided outcomes are listed systematically.
Last Updated: September 23, 2026
What is a common mistake when counting total outcomes in probability problems?
Forgetting to count ALL equally likely outcomes correctly — for example, in card or dice problems, missing or double-counting certain outcomes is the most frequent source of wrong answers, even when the probability formula itself is applied correctly.
Chapter Quiz — Test Your Understanding
Class 10 Mathematics Chapter 14 – Solutions and Important Questions
Need full answers or more practice? See the Class 10 Mathematics Chapter 14 Solutions and Class 10 Mathematics Chapter 14 Extra Questions. These Class 10 Mathematics Chapter 14 notes are ideal for quick revision just before exams.
Common Mistakes Students Make in Probability
- Miscounting outcomes: getting the favourable or total outcome count wrong, especially in card/dice compound-event problems.
- Forgetting the complement rule: not using P(not E) = 1 − P(E) when it would simplify the problem significantly.
- Misreading “at least”/”at most” wording: not recognising when this signals using the complement is the faster route.
- Sample-space errors: missing or double-counting outcomes, especially for two dice or two coins tossed together.
What to Revise First (and Last) in This Chapter
Prioritise correctly listing the sample space for standard cases (a die, two dice, coins, cards) and the basic probability formula first, since almost every question depends on counting outcomes correctly. Leave complex compound-wording word problems for an earlier, slower revision pass.
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