Probability
CBSE · Class 11 · Applied Mathematics
Quick revision notes for Probability — CBSE Class 11 Applied Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Random Experiments and Sample Space
- A random experiment has multiple possible outcomes that cannot be predicted in advance
- Sample space (S) is the set of all possible outcomes of a random experiment
- An outcome is a single result of a random experiment
Events and Types of Events
- An event is a subset of the sample space
- Empty set (∅) represents impossible event with probability 0
- Sample space (S) represents sure event with probability 1
Conditional Probability
- Conditional probability measures likelihood of an event given another event has occurred
- Written as P(A|B) - 'probability of A given B'
- The condition reduces the sample space to only outcomes where B occurs
Theorem of Total Probability
- Expresses total probability of an outcome that can occur through several distinct paths
- Requires a partition of sample space - mutually exclusive and exhaustive events
- Each path contributes to total probability based on its own probability and conditional probability
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.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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