A theoretical probability is a probability based on counting the number of desired outcomes from a sample space where all individual outcomes are equally likely.

Checking and securing displaying outcomes

Maths

In this unit, pupils use their knowledge of calculating theoretical probabilities and extend this understanding to calculating conditional probabilities using all of the representations encountered in the prior unit.

Conditional probability

Here are two decks of cards.
A single card from Deck 1 is drawn.
There are {{}} possible outcomes for drawing a card from Deck 1.

Here are two decks of cards.
A single card from Deck 1 and a single card from Deck 2 is drawn.
There are {{}} possible outcomes for for drawing one card from each deck.

Here are two decks of cards. A single card from Deck 1 is drawn. Match each event to its probability. 

A game uses this deck of cards.
Each card shows one shape from: {rhombus, lightning, oval}.
Each shape is either: {solid or hollow}. Find P(lightning).

A game uses this deck of cards. Each card shows one shape from: {rhombus, lightning, oval}. 
Each shape is either: {solid or hollow}.
A card is drawn randomly from this deck.
Find P(4 shapes).

A game uses this deck of cards. Each card shows one shape from: {rhombus, lightning, oval}. Each shape is either: {solid or hollow}.
A card is drawn randomly from this deck. Find P(solid rhombus).

A 6-sided die has one unique integer from 1 to 6 written on each of its faces. 
How many of its faces have a square number written on it?

Each card in a deck of 20 cards has a unique integer from 1 to 20 written on it. 
Which of these shows the set of prime number cards in this deck?

Each card in a deck of 20 cards has a unique integer from 1 to 20 written on it. 
What fraction of cards in this deck are multiples of 3?

Each card in a deck of 20 cards has a unique integer from 1 to 20 written on it. 
The percentage of cards that are factors of 10 is {{}}%.

A die is in the shape of an octahedron. 
Each face on this die has a unique integer written on it. 
The die is rolled once. 
There are {{}} possible numbers that the die could land on.

Each card in a deck of cards has a unique, consecutive integer from 3 to $$x$$ written on it.
Exactly half of the cards in the deck are multiples of 3.
How many cards could be in this deck?

Starter Quiz