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- Year 9
Comparing multiple representations to calculate theoretical probabilities for combined events
I can compare and contrast the usefulness of the different representations when calculating theoretical probabilities for combined events.
- Year 9
Comparing multiple representations to calculate theoretical probabilities for combined events
I can compare and contrast the usefulness of the different representations when calculating theoretical probabilities for combined events.
Lesson details
Key learning points
- The probability of an outcome can be found from multiple representations.
- Each representation can be considered before the most appropriate is chosen.
- Information from one representation can be displayed using a different representation.
Keywords
Probability tree - Each branch of a probability tree shows a possible outcome from an event or from a stage of a trial, along with the probability of that outcome happening.
Sample space - A sample space is all the possible outcomes of a trial. A sample space diagram is a systematic way of producing a sample space.
Venn diagram - Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.
Common misconception
The probability of an event is the product of the probability of each outcome in the event.
The probability of an event is the sum of the probability of each outcome in the event seen in the sample space of a diagram. For example, in the sample space at the end of a probability tree, or by adding the outcomes in the sample space of a table.
To help you plan your year 9 maths lesson on: Comparing multiple representations to calculate theoretical probabilities for combined events, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: Comparing multiple representations to calculate theoretical probabilities for combined 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.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Probability: theoretical probabilities unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.The that an event will occur is the proportion of times the event is expected to happen in a suitably large experiment.
Q2.A trial has three possible outcomes: {A, B, C}. P(A) = $${2}\over{7}$$. P(B) = $${1}\over{7}$$. P(C) = $${4}\over{7}$$. Which outcome is most likely to happen?
Q3.There are two trials. In Trial 1, a spinner with {A, B, C} is spun twice. In Trial 2, a spinner with {B, C} is spun twice. Which statement is true?
Q4.In a fair six-sided die, what is the probability of rolling a 9 and getting 'tails' in a single toss of a fair coin?
Q5.A coin is flipped twice. Complete the sample space ΞΎ = {HH, HT, , TT}
Q6.When rolling a fair six sided die, which event is more likely to occur?
Assessment exit quiz
6 Questions
Q1.What is the probability of event A and C happening?
Q2.What number does 'b' represent?
Q3.An object chosen at random is most likely to be which of the following?
Q4.If one of the events below was much less likely to occur than any others, which statement would be true?
Q5.If each spinner is used once, what is the probability of the first spinner landing on 'A' and the second spinner not landing on '1'?
Q6.For a single event, what must all possibilities sum to?