University of Sheffield, MAS113 Introduction to Probability and Statistics

Welcome to the web pages for the probability section of MAS113 Introduction to Probability and Statistics. This covers the first semester and the first three weeks of the second semester. Course notes (excluding some of the worked examples from the lectures), exercises and solutions will appear here, in PDF format.

Information about the data science section, lectured by Prof Jeremy Oakley, is available on MOLE/Blackboard.

Timetable information

There will be two lectures each week. In semester 2, these will be on Mondays at 09:00 in Dainton Building Lecture Theatre 1 and Fridays at 13:00 in Hicks Lecture Theatre 1.

There will be one other session in each week. In weeks 1 to 4, corresponding to the probability part of the course, it will be on Mondays at either 13:00, 15:00 or 16:00; you can find out which group you are in, the time and place of your sessions, and the name of your group's tutors at the SoMaS tutorial groups page.

For the tutorials, I will announce which questions from the exercise booklet you should look at in advance of the class. You should have a look at the questions before the class so that you have a good idea what you want to ask about; this is a much better use of the time available than if you only look at them for the first time in the class.

If you cannot make the time of your allocated group for a good reason, please email me and I will see whether I can move you.

Assessment and feedback

Homework will be set after tutorials every other week, to be handed the following week. The work should be handed in to folders which will be placed outside room I9. Homework deadlines in semester 2 will be Thursdays 20 February and 5 March. The homework is for feedback purposes.

Assessment is by an exam at the end of the module and online tests, together with R practicals on the statistics material in semester 2. The online tests for the module will be available on MOLE. Revised deadlines for online tests for the rest of the probability part of the module are Fridays 13 December, 7 February, 21 February, 6 March.

Lecture notes

Details of proofs of theorems and of worked examples will be available after they are lectured:

Slides will appear here after the relevant section has been lectured.

Supplementary notes (non-examinable):


Booklet of exercises for the course. This covers the whole of the probability section of the course.

Solutions to exercises

Solutions will appear here after homework deadlines.

Solutions released so far (as of 6 March, all solutions now available).

Information on R

Introduction to R (for the computer classes in weeks 1 and 2).

You can download R from the Comprehensive R Archive Network and you can download RStudio from the RStudio download page.

Past exam solutions

These will appear on MOLE before the exam. The exam papers themselves can be found on the SoMaS past papers page.

Contact details

To contact the lecturer, email My office is I9, on the fifth floor of the Hicks Building. I will have office hours every Tuesday from 13:30 to 14:30, but you can also try at other times if I am in.

A discussion board for this module is available on MOLE.


The materials for this course are largely based on those used by Prof Jeremy Oakley and Prof Dave Applebaum in previous years.

My home page
School of Mathematics and Statistics current students page

Last updated 6 March 2020.