Manjil Saikia · Teaching
STA102 · Ahmedabad University

Probability and Random Variables

Probability is the study of chance, and one of the pillars that statistics and data science are built on. This course is a first introduction for first-year Mathematics and Computer Science majors, and assumes no previous knowledge of the subject.

Textbook
Ross, A First Course in Probability, 10th ed.
Each week
Two lectures and a tutorial
Credits
4
School
School of Arts and Sciences

What the course covers

  1. 1
    Sets and events
    sample spaces, unions, intersections, complements
  2. 2
    Counting
    permutations, combinations, multinomial coefficients
  3. 3
    Probability
    the axioms, equally likely outcomes
  4. 4
    Conditional probability
    total probability, Bayes' theorem, independence
  5. 5
    Discrete random variables
    expectation, variance, binomial and Poisson
  6. 6
    Continuous random variables
    densities, uniform and normal
  7. 7
    Jointly distributed random variables
    joint, marginal and conditional distributions
  8. 8
    Limit theorems
    a first look at the law of large numbers and the central limit theorem

Offerings

BiSem 2026Current

Interactive simulations, Part I

Sixteen simulations that go with the slides. Press a button, run thousands of random experiments in your browser, and watch the frequencies settle on the answers worked out in class.

Open the simulations

Taught by Manjil Saikia.