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# What does a tree diagram show?

2 years ago

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14 Replies

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1829 views

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Karli Gleason

Richard A Verified Sherpa Tutor ✓

Primary Teacher with 15 years teaching experience. 11+ tuition.

Hi! How's it going? Tree diagrams show probability calculations. They show all the possible outcomes of an event!

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Parth Verified Sherpa Tutor ✓

UCL Medical student with 3 years of tutoring experience

4 reviews

Tree diagrams show the probability of an event happening. The branches of a tree diagram must add upto 1

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Shamim H Verified Sherpa Tutor ✓

Experienced Maths Teacher (16 yrs) & Examiner for 2 Major Exam Boards

29 reviews

The probability tree shows all possible combinations of outcomes and listed probabilities. If you go along the branches, you multiply the probabilities.

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Oliver Aldridge

A tree diagram shows the probabilities for certain outcomes to occur. To find the probability, we multiply along the branches of the diagram, each branch vertically down should add up to 1.

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Tiffany Biles

A tree diagram illustrates the probability of two or more events occurring. They can either be used for independent or dependent events. The general rule is to multiply along the branches and add up the final results.

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Peter Cartwright

A tree diagram shows the probability of a series of events occurring in order, and can be used to determine the likelihood of branching events.

Let's say you flip a coin twice.

The first branch of the tree shows the outcome of the first flip, and probability of each outcome- heads or tails, is 1/2.

Coming of each of those branches is the second branch, showing the probability of the second coin flip, again 1/2 for either result.

By following a pathway along the diagram, you can determine the probability of getting Tails then Heads, or Tails twice, and so on, by multiplying the probabilities along that pathway.

The image should help illustrate this concept.

Image credit: Mathsisfun.com

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Oliver Humphreys

Hi Karli,

A tree diagram is a way of showing the probability of multiple events occurring. Each branch can show the event, such as heads or tails with a coin toss or 1-6 for the roll of a dice, and it will show the related probability of that event. Following each branch can show you the probability of multiple events occurring and can allow you to check the permutation and combination of the events.

Hope this helps!

Becca R Verified Sherpa Tutor ✓

Enthusiastic and organised PhD Student and Maths Tutor

It shows all the possible outcomes of an event, the relative probabilities of each and which combinations are available.

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Dr M Verified Sherpa Tutor ✓

Tree diagrams display all the possible outcomes of an event. Each branch in a tree diagram represents a possible outcome. Tree diagrams can be used to find the number of possible outcomes and calculate the probability of possible outcomes.

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a tree diagram of what?

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A tree diagram consists of an event, and allows a better understanding of all of the possible outcomes within this.

Each 'branch' of the tree diagram signifies one of the outcomes and can denote the probability of this outcome occurring.

Tree diagrams allow for an image to be created which can be better understood when figuring out the chance of an event outcome taking place.

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Man Shing IP

It shows all the possible outcomes of an event

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Harold Sallam Turay

The tree diagram in probability shows the possibility that an event may occur may occur, and the number of events that have occured.

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