Checking and securing exhaustive events
I can work with probabilities as fractions, decimals and percentages and use the fact that exhaustive events sum to 1.
Checking and securing exhaustive events
I can work with probabilities as fractions, decimals and percentages and use the fact that exhaustive events sum to 1.
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Lesson details
Key learning points
- Probabilities can be given as fractions, decimals or percentages
- An event is exhaustive if all possible outcomes are included
- The probability of an exhaustive event is 1 and this can be used to calculate missing probabilities
Keywords
Mutually exclusive - Two or more events are mutually exclusive if they share no common outcome.
Exhaustive events - A set of events are exhaustive if at least one of them has to occur whenever the experiment is carried out.
Common misconception
Pupils may think that any set of probabilities relating to a scenario will always sum to 1.
Probabilities sum to 1 when the events are exhaustive and mutually exclusive.
To help you plan your year 11 maths lesson on: Checking and securing exhaustive events, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Checking and securing exhaustive events, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.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.
Q2.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?
Q3.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.
P(greater than 20) -
impossible
P(square) -
unlikely
P(odd) -
even chance
P(single digit) -
likely
Q4.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.
Q5.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?
Q6.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?
Assessment exit quiz
6 Questions
Q1.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?
Q2.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?
Q3.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?
Q4.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 %.
Q5.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 .
Q6.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?
