Probability — Syllabus
Madhya Pradesh Board · Class 11 · Mathematics
What Probability covers in Madhya Pradesh Board Class 11 Mathematics: 4 topics, for the 2026-27 session. Topics include Events and Sample Space, Algebra.
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Topics in Probability
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.
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.
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.
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.
Key Concepts
Central concept: Probability
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