Reference request for problem books on probability

Question

Can someone suggest some good books which contain Olympiad level questions and many solved examples on probability theory and combinatorics?

Answer 1

I assume you have already checked out the Art of Problem Solving competition preparation books (Volume 2, Intermediate Counting and Probability etc.). If not I recommend you take a look at those.

When I first started studying Probability Theory, I used Introduction to Mathematical Statistics by Hogg and Craig. Its rigorous and assumes the student has some Multi-Variable Calculus as well as undergraduate mathematical maturity.

Answer 2

1. Have you tried Schaum's Study Guides?

2. I recommend One Thousand Exercises in Probability (2020 3 edn.) by Geoffrey Grimmett and David Stirzaker.

• It includes worked solutions to all exercises and problems in the associated textbook. This is an invaluable handbook for students and teachers attending or giving courses in probability

• It contains more than 1300 [approximately 1317] exercises across a range of difficulty and topic. It is an essential aid for teachers compiling examinations and seeking exercises to illuminate lecture courses.