Mathematics of Chance
Kerala Board · Class 10 · Mathematics
Complete topic list for Mathematics of Chance in Kerala Board Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Mathematics of Chance
Basic Probability Concepts
- Probability is expressed as a fraction where numerator = favorable outcomes and denominator = total possible outcomes
- Probability always lies between 0 and 1 (or 0% to 100%)
- If an event is certain to happen, probability = 1
Number-Based Probability
- When dealing with numbers from 1 to n, total outcomes = n
- For prime numbers, factors, multiples: first identify how many numbers satisfy the condition
- Even numbers from 1 to n: there are ⌊n/2⌋ even numbers
Geometric Probability
- Probability depends on areas, not just counting
- P(point in region A) = Area of region A / Area of total region
- Useful for problems involving shapes, regions, and continuous spaces
Combined Events and Pairs
- When selecting from two sources, total outcomes = outcomes from first × outcomes from second
- For three dice: total outcomes = 6³ = 216
- Ordered pairs (a,b) are different from (b,a) unless specifically mentioned
Key Concepts
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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