This year, I was lecturing the first year probability course in Cambridge. To supplement the usual excellent problem sets I inherited from James Norris and many previous lecturers, I prepared extension problems for enthusiastic students. A handful of the extension problems are original; a few are simplifications or examples of problems in graduate-level discrete probability. The first sheet is more gentle than the subsequent three.

These can be found below.

Cambridge supervisors are welcome to use these in subsequent years. Indeed, anyone is welcome to use these in their teaching. Solutions are available for instructors – please contact me by email to receive these.