: While covering general math, this contains high-level probability problems used for Cambridge entrance exams, complete with detailed "postmortems" explaining the logic. Collection of Problems in Probability Theory
: A rigorous manual featuring solutions to even-numbered exercises from "A First Look at Rigorous Probability Theory". It covers advanced topics like measure theory, probability measures, and countable additivity. Fifty Challenging Problems in Probability with Solutions advanced probability problems and solutions pdf
Unlike purely reading a textbook, working through problems and consulting a solution PDF provides immediate feedback. This is essential for concepts like conditional expectation, where non-measurable modifications must be avoided. : While covering general math, this contains high-level
distinct types of coupons. Each time you buy a box, you get one coupon uniformly at random. What is the expected number of boxes ( ) you must buy to collect all Solution Preview: We define Ticap T sub i as the time to collect the -th new coupon after have been collected. Ticap T sub i follows a Geometric distribution with .The total expectation is . This simplifies to Each time you buy a box, you get