Class 11 Math: Probability Quick Revision Chapter Summary
Need to review the entire chapter before a test? This quick revision guide summarizes all the core concepts, topics, and equations taught in Class 11 Probability to help you refresh your memory instantly.
Core Topics At a Glance
### š Random experiments and sample spaces A random experiment is an action whose outcomes cannot be predicted with certainty. The sample space S is the set of all possible outcomes of that random experiment.
### š Events (Occurrence, mutually exclusive, exhaustive) An event is a subset of the sample space. Events are mutually exclusive if they cannot occur at the same time (intersection is empty). Events are exhaustive if their union equals the sample space.
### š Axiomatic probability Axiomatic probability is the formal mathematical approach based on three axioms: 1) probability is non-negative, 2) probability of the sample space is 1, and 3) probability of union of mutually exclusive events is the sum of their probabilities.
### š Addition theorem of probability The addition theorem calculates the probability of union of two events (the probability of A or B occurring). It accounts for the double-counting of overlapping outcomes.
Key Formulas Mind Map
- Addition Theorem of Probability: `P(A \cup B) = P(A) + P(B) - P(A \cap B)` - Probability of union of two events....
Revision Checklist
- Review the subtopic guides and outline notes.
- Practice writing the key formulas from memory.
- Solve at least 3 worked examples and check your steps.
- Take a timed practice quiz to verify your speed.