University Business Math Counting and Probability — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 6 definitions and 8 theorems, 6 worked examples, 2 diagrams, in 15 printable pages. This page lists what the notes cover. The notes themselves come with the University Business Math bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Counting and 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.
Counting in stages and counting in cases
- Theorem — The multiplication principle
- Theorem — The addition principle
Also in this section: 1 worked example, 1 note on method and common errors.
Permutations and factorial notation
- Definition — Factorial notation
- Theorem — Ordered selections without repetition
- Theorem — Arrangements of objects that are not all different
Also in this section: 1 worked example, 1 note on method and common errors.
Combinations and mixed counting
- Definition — Combinations
- Theorem — Ordered and unordered counts compared
Also in this section: 1 worked example, 1 note on method and common errors.
Sample spaces, events and equally likely outcomes
- Definition — Sample space, outcome and event
- Theorem — Probability on an equally likely sample space
Also in this section: 1 worked example, 1 note on method and common errors.
Union, intersection and complement of events
- Definition — Union, intersection and complement
- Theorem — The addition rule and the complement rule
Also in this section: 1 worked example, 1 note on method and common errors, 1 diagram.
Conditional probability, probability trees and independence
- Definition — Conditional probability
- Theorem — The product rule and a probability tree
- Definition — Independent events
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 Business Math Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Counting and Probability practice worksheet is free and stays free.
Every University Business Math topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 9 University Business Math 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.
Counting and Probability practice worksheet About the Counting and Probability unit test