Two or more events are mutually exclusive if they share no common outcome.

A set of events are exhaustive if at least one of them has to occur whenever the experiment is carried out.

Checking and securing exhaustive events

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

The outcomes 5 and 7 are not in either event A or event B.

Events A and B are not mutually exclusive. 

Each face on an 8-sided die has a unique integer from 1 to 8 written on it.
The Venn diagram shows Event A = {factors of 12} and Event B = {even numbers}.
Which of these statements are correct?

The outcomes 1 and 3 are not in either event A or event B.

Each face on an 8-sided die has a unique integer from 1 to 8 written on it.
The Venn diagram shows Event A = {factors of 24} and Event B = {odd numbers}.
Which of these statements are correct?

The outcome 1 isn’t in either event A or event B.

Each face on an 8-sided die has a unique integer from 1 to 8 written on it.
The Venn diagram shows Event A = {multiples of 4} and Event B = {prime numbers}.
Which of these statements are correct?

Sam plays a video game that can either be won or lost.
The probability that Sam wins the video game is 56%.
The probability that Sam loses the video game is {{}}%.

This table shows the mutually exclusive and exhaustive set of outcomes, and the probability of each outcome, from spinning a spinner once.
The value of $$x$$ is {{ }}.

This table shows the set of outcomes and the probability of each outcome, from spinning a spinner once.
The spinner is spun 1000 times. How many times should you expect the spinner to land on C?

Each card in a deck of 10 cards has a unique integer from 1 to 10 written on it. There are {{}} factors of 12 in the deck.

Each card in a deck of 10 cards has a unique integer from 1 to 10 written on it.
A single random card is drawn.
What is the probability of that card being a factor of 12?

Each card in a deck of 10 cards has a unique integer from 1 to 10 written on it.
A single random card is drawn.
Match each event to its likelihood.

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

Here are two decks of cards. A single card from Deck 1 and a single card from Deck 2 is drawn to make a pair.
What is the probability that this pair of cards contains a B?

Here are two decks of cards.
A single card from Deck 1 and a single card from Deck 2 is drawn to make a pair.
What is the probability that this pair of cards doesn't contain an odd number?

Starter Quiz