IB Maths AA 4.7 Definitions

This page contains our IB Maths AA definitions for 4.7. By learning each one of these definitions, you will fully cover the content for IB Maths AA 'Bayes theorem'.

All Topic 4 Sub-topics 4.1: Fundamentals Of Statistics 4.2: Visualising Statistics 4.3: Distribution Properties 4.4: Linear Statistics 4.5: Probability 4.6: Probability Distributions (HL)4.7: Bayes theorem (HL)4.8: Advanced distribution properties

conditional probability

The probability that one event happens given that another event has already happened, written as
$P(A \mid B) = \frac{P(A \cap B)}{P(B)}$ provided that $P(B) \neq 0$ .

joint probability

Describing the probability that two events occur together, written as $P(A\cap B)$ .

partition

A collection of events (such as

A_1

A_2

A_3

) that are mutually exclusive and whose union is the whole sample space, so exactly one must occur.

prior probability

The probability assigned to an event before any new information is taken into account, often written as $P(A)$ .

theorem

A mathematical result that can be proved logically from definitions and earlier results, then used to solve problems.

tree

A connected graph with no cycles; if it has

n

vertices then it has exactly

n-1

edges.

updated probability

Describing a probability that has been revised after learning that another event has occurred, often written as $P(A|B)$ .

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