Multi-Step Tree Diagrams WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 4 - 5
Prerequisite knowledge: Calculate simple probabilities using fractions and decimals. Probability of single events. Listing outcomes systematically. Using tree diagrams to calculate the probability of two dependent and independent events.
Learning Objective: Construct and interpret tree diagrams to represent outcomes of independent and dependent events, and calculate probabilities of combined events.
Multi-Step Tree Diagrams WORKSHEET DESCRIPTION
This worksheet develops studentsâ understanding of multi-step probability through structured use of tree diagrams.
Sections A and B begin with independent events contexts, where students complete two three-stage tree diagrams, list all possible outcomes, and calculate probabilities which require students to interpret âexactly onceâ and âat least onceâ using combined probabilities.
Section C focuses on reasoning, asking students to spot, correct, and explain an error in a listed set of outcomes, reinforcing the importance of systematic representations.
Section D introduces dependent events without replacement, requiring students to update probabilities at each stage.
Section E consolidates learning through varied real-world contexts, combining independence, dependence, and conditional language in increasingly demanding probability calculations.
Sections A and B begin with independent events contexts, where students complete two three-stage tree diagrams, list all possible outcomes, and calculate probabilities which require students to interpret âexactly onceâ and âat least onceâ using combined probabilities.
Section C focuses on reasoning, asking students to spot, correct, and explain an error in a listed set of outcomes, reinforcing the importance of systematic representations.
Section D introduces dependent events without replacement, requiring students to update probabilities at each stage.
Section E consolidates learning through varied real-world contexts, combining independence, dependence, and conditional language in increasingly demanding probability calculations.
All worksheets are created by the team of experienced teachers at Cazoom Maths.
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Frequently Asked Questions
Construct and interpret tree diagrams to represent outcomes of independent and dependent events, and calculate probabilities of combined events.