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 (as the course is given for the first time this year, there may be changes as we go along):
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. 9.1-9-5