The textbook is John B. Walsh: Knowing the Odds: An Introduction to Probability Theory, American Mathematical Society, 2012, ISBN: 978-0-8218-8532-1.
Tentative syllabus:
Ch. 1.1-1.5
Ch. 2.1-2.6
Ch. 3.1-3.4
Ch: 4
Ch. 5.1, 5.4-5.6
Ch. 6.1-6.4
Ch. 7.1+7.4
Ch. 8
Ch. 9.1-9.4
Note: The syllabus for the exam is as above, except that sections 9.3 and 9.4 are not included this year as the semester was shortened due to the pandemic.