JEE Advanced Math — Probability
Probability for JEE Advanced aspirants.
📋 Course Learning Outcomes
On successful completion of this course, the learner will be able to:
- Analyze conditional probability through sequential, tree, and reverse-conditioning arguments [Analyze]
- Derive Bayes' theorem expressions for multi-stage diagnostic and signal-detection problems [Create]
- Evaluate expectation and variance of discrete random variables including binomial and geometric [Evaluate]
- Apply geometric probability to compute probabilities involving lengths, areas, and volumes [Apply]
- Investigate independence of events versus pairwise independence in compound experiments [Analyze]
- Solve JEE Advanced paragraph and integer problems on probability [Evaluate]
📚 Chapters
- Sample Spaces and Events
- Classical and Axiomatic Probability
- Conditional Probability
- Independence of Events
- Total Probability Theorem
- Bayes' Theorem
- Random Variables and Distributions
- Binomial Distribution
- Expectation and Variance
- Geometric Probability
- Mixed Advanced Problems
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