Tree Diagrams for Probability
A tree diagram is a branching diagram used to list outcomes of a two-stage or multi-stage random experiment systematically.
Practice This ConceptMain explanation
Teacher explanation
Each branch shows one possible result at a stage. Following branches from start to end gives complete outcomes, which helps avoid missing or repeating cases.
Example
For tossing two coins, the first branch is H or T, and from each branch the second coin again gives H or T, producing HH, HT, TH, and TT.
Simple analogy
One full path from start to end is one outcome.
Common confusion
Students often stop after the first stage or forget that each first-stage branch must split again for the next stage.
Exam tip
Use a tree when an experiment has two actions, such as coin then die, two coins, or choosing then spinning.
Study the tree diagrams for probability diagram carefully
Use the labelled diagram to keep tree diagrams for probability clear in short answers and revision.
What this diagram makes clear
This diagram keeps the labels and direction of tree diagrams for probability in the right order.
Where this helps in exams
Use this for labelled diagram work and short exam answers on tree diagrams for probability.
Revision cue
Revise tree diagrams for probability through the labels before writing the answer.
Answer writing and exam use
1-mark use
Write the exact meaning of tree diagrams for probability in one clean line.
2-mark use
Define tree diagrams for probability and add one example or condition.
3-mark use
Explain tree diagrams for probability, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
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