PROBABILITY

Random

Suggests an unpredictable result or outcome.

Simulation

Technique for re-creating a random event, can be tactile (physically) or virtual (using a computer).

Random Process

Scenarios where a single experiment's result is unpredictable, but repeating it shows a settled proportion for certain outcomes.

Probability

Measure of the likelihood of a random event occurring, revealing long-term predictability.

Sample Space

Collection of all possible outcomes denoted by S in a probability experiment.

Event

Collection of outcomes from a probability experiment, denoted by capital letters like E.

Fair Die

A die where each number has an equal chance of being rolled.

Loaded Die

A die where some numbers are more likely to be rolled than others.

Law of Large Numbers

As experiment repetitions increase, the observed outcome proportion approaches the outcome's probability.

Probability Diagrams

Visual tools to represent and analyze the likelihood of outcomes and events, simplifying complex problems.

Tables

Display frequency of outcomes in a two-way classification, aiding in organizing data and calculating probabilities.

Tree Diagrams

Represent outcomes of a sequence of events, aiding in visualizing combined event probabilities.

Venn Diagrams

Use overlapping circles to represent sets and their relationships, helpful in visualizing event combinations and relationships.