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Higher - Probability

infoWhy this? Set notation, Venn diagrams, and tree diagrams give us precise ways to represent events and reason about uncertainty. Calculating combined and conditional probabilities helps us distinguish different chance situations and make justified comparisons of risk.

scheduleWhy now? Introducing these structured methods at the start of Year 10 establishes habits of organising complex information and identifying possible outcomes. These ideas are revisited in the summer statistics unit through frequency trees and conditional probabilities.

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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