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Higher - Probability

infoWhy this? We are teaching this unit so that pupils can use probability and set notation to represent events clearly, and calculate probabilities (including conditional probability) using Venn diagrams and tree diagrams to analyse and compare different situations involving risk and chance

scheduleWhy now? We are teaching it now in Year 10 so that pupils can apply structured probability methods alongside their current work in data handling and algebra, strengthening their ability to interpret complex information and justify conclusions in multi-step problems

neurologyYou need to know

  • Probability notation includes ( P(A) ) for the probability of event A, ( P(A Ո B) ) for the probability of both A and B, ( P(A ՍB) ) for the probability of A or B, and ( P(A') ) for the probability of not A.
  • Mutually exclusive events are events that cannot occur at the same time, and for such events, ( P(A Ս B) = P(A) + P(B) ).
  • A Venn diagram visually represents sets, their intersections (( Ո )), unions (( Ս )), and complements (( ' )).
  • A tree diagram shows all possible outcomes of a sequence of events and their associated probabilities.
  • Set notation includes symbols such as ( Ո ) (intersection), ( Ս ) (union), ( ' ) (complement)).
  • Conditional probability is the probability of one event occurring given that another event has already occurred, denoted as ( P(A|B) ).

rocket_launchYou must be able to

  • Use probability notation accurately in written and numerical work.
  • Identify mutually exclusive events and calculate their combined probabilities.
  • Copy and complete a Venn diagram given information about sets and their intersections.
  • Find probabilities of events using a Venn diagram, including unions, intersections, and complements.
  • Copy and complete a tree diagram for multi-stage events.
  • Find probabilities of outcomes using a tree diagram, including combined and conditional events.
  • Use set notation correctly to describe and solve probability problems.
  • Calculate and interpret conditional probabilities, including using tree diagrams and the conditional probability formula.


Revision Quiz

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