University Introductory Statistics Probability Rules and Conditional Probability — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 5 definitions and 4 theorems, 6 worked examples, 2 diagrams, in 13 printable pages. This page lists what the notes cover. The notes themselves come with the University Introductory Statistics bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Probability Rules and Conditional Probability — what the notes cover
7 sections, in the order the unit is taught. Each entry below is the title of a definition or a theorem the notes state in full.
What you need
Also in this section: 1 note on method and common errors.
Sample spaces, events and Venn diagrams
- Definition — Sample space, outcome and event
- Definition — Operations on events
- Definition — Probability of an event
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
The addition rule and complements
- Theorem — The addition rule and the complement rule
Also in this section: 1 worked example, 1 note on method and common errors.
Counting with permutations and combinations
- Theorem — Counting selections and arrangements
Also in this section: 1 worked example, 1 note on method and common errors.
Conditional probability and the multiplication rule
- Definition — Conditional probability
- Theorem — The multiplication rule
Also in this section: 1 worked example, 1 note on method and common errors.
Independent events
- Definition — Independent events
Also in this section: 1 worked example, 1 note on method and common errors.
Tree diagrams, total probability and Bayes' theorem
- Theorem — The law of total probability and Bayes' theorem
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
Where the notes are
The notes are one of the documents in the University Introductory Statistics Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Probability Rules and Conditional Probability practice worksheet is free and stays free.
Every University Introductory Statistics topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 9 University Introductory Statistics units: the worksheet, the reference notes, the challenge set, the unit test and every answer key — these notes included.
- Worked solutions, not answer lists — every step written out
- Covers the whole year's program at this level
- Less than the price of one hour of tutoring — for the entire year's solutions
Practise it, then test yourself
Notes on their own do not make anything stick. This unit has a free, printable practice worksheet, and an end-of-unit test that comes with the bundle.
Probability Rules and Conditional Probability practice worksheet About the Probability Rules and Conditional Probability unit test