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Drawing a Tree Diagram
(KS3, Year 7)
Drawing a Tree Diagram
A tree diagram shows all the possible outcomes of an event and their probabilities. For example, we can draw the tree diagram of a single coin toss.How to Draw a Tree Diagram
A single coin toss can be drawn on a tree diagram.Question
Draw a single coin toss on a tree diagram.Step-by-Step:
1
List the possible outcomes of the event.
If a coin is tossed, the coin can land on Heads or Tails.
2
Draw a branch for each outcome of the event. Label each outcome.
3
Find the probability of each outcome and write it by the the branch.
- The probability of Heads is ^{1}⁄_{2}. It is written by the branch.
- The probability of Tails is ^{1}⁄_{2}. It is written by the branch.
Answer:
We have drawn the tree diagram that represents the single tossing of a coin.How to Draw a Tree Diagram with More Than One Event
A tree diagram can be drawn for more than one event. A coin can be tossed twice, one time after another. This can be drawn on a tree diagram.Question
Draw a double coin toss on a tree diagram.1^{st} Toss
Consider the first toss of the coin. The tree diagram for the first toss will be the same as the tree diagram for a single toss.2^{nd} Toss
Consider the second toss of the coin. We extend the tree diagram to the right. For each branch of the 1^{st} toss, we can draw another 2 branches, showing the same two outcomes.1^{st} Toss Was Heads
Another tree diagram can be drawn from the Heads branch of the 1^{st} toss.1^{st} Toss Was Tails
Another tree diagram can be drawn from the Tails branch of the 1^{st} toss.- Do you disagree with something on this page?
- Did you spot a typo?