Maths

Equally-likely outcomes

A set of outcomes where the probability of each outcome occurring is the exact same.

Examples of equally-likely outcomes

Flipping a fair coin, rolling a fair die, and spinning an evenly divided spinner.

Probability of rolling an even number on a standard $6$-sided die

$$\frac{\text{number of even numbers}}{\text{total number of outcomes}} = \frac{3}{6}$$

Composition of a standard pack of cards

Contains $52$ cards total with no jokers, divided into $4$ suits of $13$ cards each.

Suits in a standard deck of cards

Hearts and Diamonds (red), and Spades and Clubs (black).

Picture cards (court cards)

The Jack (J), Queen (Q), and King (K) in a deck of cards.

Sample space diagram

A method or structure used to display all possible outcomes of an experiment.

Three main methods to show a sample space

Listing, two-way tables, and tree diagrams.