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Section 0. Probability Basics (for Both CS and DA)
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1. Background, Basic Terms and Counting
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2. Combinatorics
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3. Practice Problems on Sets and Counting
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4. Basic Terms in Probability, and Axioms of Probability
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5. Practice Problems
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6. Practice Problems-2
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Section 1. Conditional Probability and Independence (for Both CS and DA)
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1. Conditional Probability and Bayes Theorem
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2. Practice Problems
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3. Independence of Events
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4. Practice Problems
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5. Problem Discusssion
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Section 2. Random Variables (for both GATE CS and DA)
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1. Random Variables Intro
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2. Problems on Random Variables
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3. Properties of CDF and Intro to Discrete RV
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4. Discrete Random Variables
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5. Problems Discrete on Random Variable
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6. Problems on DRV-2
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7. Expectation & Function of RV --- 1
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8. Properties of Expectation and Problems
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9. More Problems based on DRV
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10. Doubt Class
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11. Doubt Class
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12. Continuous Distribution and Probability Density Function
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13. Probability Density Function
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14. Continuous Random Variables
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15. Normal Distribution and Problem Discussion
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16. Problem Discussion
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17. Basic Statistics
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18. Statistic Continued & Function of RV
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19. Function of Random Variables
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20. Practice Questions on Functions of Random Variables
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21. CRV Sheet Discussion and Funtions of RV
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22. Expectation of CRV and Variance
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23. Practice Questions Session-1
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24. Practice Problems-2
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Section3: Multiple Random Variables
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1. Joint Distributions
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2. Joint Distribution: Comprehensive Understanding
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3. Joint mass function, density function and marginal distributions
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4. Independence of R.V. and Problem Discussions
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5. Conditional Distributions
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6. Practice Questions
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Doubt - 1
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Problem Discussion
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Joint Expectation and Covariance
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Joint Expectation: Deeper Understanding
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Covariance and Correlation
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Section4: Statistics (Old, Will update for GATE 2026)
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1. Basics of Statistics
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2. Central Limit Theorem and Problem Discussion
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CLT UCLA
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3. Confidence Intervals
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4. Problems on Confidence Intervals
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5. Chi-Squared and T-Distribution
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6. Questions on T and Chi-Squared Distribution, Intro to Hypothesis Testing
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1. Basics
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2. Sampling and Why Inferential Statistics works?
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3. Central Limit Theorem
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4. Problems on CLT
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5. Homework Problem Discussion (CLT)
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6. Estimation, Confidence Interval and Hypothesis Basic
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7. Point Estimation and Evaluation of Estimator
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8. Problems with MLE, MAP and MMSE as estimation technique
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9. Regression and MMSE
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10. z-distribution, t-distribution and chi-square distribution
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11. Confidence Interval Problems
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12. Story so far!! - SDSM, CI, z-Test & t-Test
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13. Hypothesis Testing Terminologies
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14. Problems
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15. One Tailed Test, Two-Tailed Test and P-Value
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Revision Classes
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1. Probability Basics - Problem Discussion
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2. Correlation and Covariance Discussion
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