The official textbook for this course is Introduction to Probability (second edition), American Mathematical Society, by Charles M. Grinstead and J. Laurie Snell. It is very readable and has many worked out examples. The book can be purchased from the UK Bookstore and also freely available here.

We will cover chapters 1-9 of this book.

If you are interested in learning more and further your grasp of probability, the following are some additional noteworthy resources:

1. Textbook's Website .
   
2. Probability (website) from Wikipedia.
   
3. Probability (website) from Wolfram MathWold.
   
4. Pascal and the invention of probability theory by Oystein Ore. The American Mathematical Monthly, Vol. 67, No. 5 (May 1960), pp. 409-419.
5. Probability and Statistical Inference by Robert V. Hogg and Elliot A. Tanis.
   
6. Trends in Linear Algebra by Jennifer Pestana. SIAM News, August 2016.
   
7. Algebraic and Discrete Mathematical Methods for Modern Biology edited by Raina Robeva.
   
8. Biocalculus: Calculus, Probability, and Statistics for the Life Sciences by James Stuart and Troy Day.