Tree diagrams, or sentence trees, are visual representations of the individual phrases and words contained within a sentence. Linguists use sentence trees to display the relationship between words in a sentence. Drawing sentence trees by hand can be time consuming. However, you can use online programs to help display a sentence tree and then save the tree as an image for later use. Before drafting your sentence tree online, you must be able to draw one by hand.

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2. Creating A Tree Diagram
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4. Tree Diagram Example
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I.e., it takes any sentence/phrase as input and automatically figures out the tree diagram. I'm looking for a way to see the tree structures for sentences/phrases whose tree structures I'm unsure of how to draw. Drawing tree diagrams of ambiguous sentences generated by a CFG. Ask Question 2. Suppose I have the following CFG rules: S -> NP VP NP -> (D) NOM VP -> V (NP) (NP) NOM -> N NOM -> NOM PP VP -> VP PP PP -> P NP X -> X+ CONJ X. Is my parsing correct and if not how should I make it work right? Syntax grammar syntax-trees phrase-structure.

1. SmartDraw is the best way to make tree diagrams on any device. How easy is it? Simply open one of the tree diagram templates included, input your information and let SmartDraw do the rest.
2. Tree Diagram Software - Create Tree Diagrams Easily with Edraw Create tree diagrams easily with Edraw diagram software and support export data to MS Word, Excel and PDF. Tree Diagrams are widely used to list all possibilities of a sequence of events in a systematic way.
3. It is a tree diagram used in strategic decision making, valuation or probability calculations. Make use of this online probability tree diagram generator calculator to generate the diagram which starts at a single node, with branches emanating to additional nodes, which represent mutually exclusive decisions or events.

Step 1

Write a sentence for which you want to draw a tree diagram. The sentence can be as simple or complex as you desire. Just make sure it is a sentence that you can diagram comfortably. Online tree diagramming programs will not separate a sentence into branches. You have to be able to create the branches yourself and then enter them into the program so that it will plot the sentence tree for you.

Step 2

Branch the sentence into its phrases and then individual words. You may wish to draw out the sentence tree on a separate sheet of paper to provide a visual for how you will enter the phrases and their parts into the online program. Label each phrase with its appropriate designation: 'S' for sentence, 'NP' for noun phrases, 'VP' for verb phrases, 'CP' for clausal phrases and 'PP' for prepositional phrases.

Step 3

Open your Internet browser. In the address bar, enter 'http://ironcreek.net/phpsyntaxtree'. Click 'go' or hit 'enter' on your keyboard to proceed to the site. This program works best on either Internet Explorer or Mozilla Firefox, but can work on other browsers as well.

Step 4

Enter your sentence into the 'Phrase' box. Each phrase must be contained within brackets and the phrase's individual words must be in brackets. Use the phrasal notation provided within the 'Phrase' box to help determine how you will enter the phrases from your sentence.

Step 5

Open a bracket to create a branch on your sentence tree. Type the branch label first, hit 'space' and type the actual word. For example, [N noun] would have 'N' as the branch label and 'noun' as the word that appears under the branch. The bottom of the 'Phrase' box will display the amount of open and closed brackets you have. Make sure that you open a new pair of brackets for every phrase and word and then close each bracket when you are finished. The number of open and closed brackets should be the same.

Click the 'draw' button to draw your tree diagram. If you want to use the tree diagram you just created, click on it to save it as an image. Follow your browser's normal procedures for downloading images to save your tree diagram. You may change the font style, size or color by changing the preferences at the top of the screen. You may also edit your tree diagram by making any changes in the 'Phrase' box and then hitting 'Draw'.

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References

• 'English Grammar'; Anita Barry; 2002.

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What is a Probability Tree Diagram?

We can construct a probability tree diagram to help us solve some probability problems.

A probability tree diagram shows all the possible events. The first event is represented by a dot. From the dot, branches are drawn to represent all possible outcomes of the event. The probability of each outcome is written on its branch.

Example:

A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag.

a) Construct a probability tree of the problem.
b) Calculate the probability that Paul picks:
i) two black balls
ii) a black ball in his second draw

Solution:

a) Check that the probabilities in the last column add up to 1.

b) i) To find the probability of getting two black balls, first locate the B branch and then follow the second B branch. Since these are independent events we can multiply the probability of each branch.

ii) There are two outcomes where the second ball can be black.

Either (B, B) or (W, B)

From the probability tree diagram, we get:

P(second ball black)

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= P(B, B) or P(W, B)
= P(B, B) + P(W, B)

Example:

Bag A contains 10 marbles of which 2 are red and 8 are black. Bag B contains 12 marbles of which 4 are red and 8 are black. A ball is drawn at random from each bag.
a) Draw a probability tree diagram to show all the outcomes the experiment.
b) Find the probability that:
(i) both are red.
(ii) both are black.
(iii) one black and one red.
(iv) at least one red.

Solution:

Creating A Tree Diagram

a) A probability tree diagram that shows all the outcomes of the experiment.

b) The probability that:
(i) both are red.

P(R, R) =

(ii) both are black.

P(B, B) =

(iii) one black and one red.

P(R, B) or P(B, R) =

(iv) at least one red.

1- P(B, B) =

Example:

A box contains 4 red and 2 blue chips. A chip is drawn at random and then replaced. A second chip is then drawn at random.
a) Show all the possible outcomes using a probability tree diagram.
b) Calculate the probability of getting:
(i) at least one blue.
(ii) one red and one blue.
(iii) two of the same color.

Solution:

a) A probability tree diagram to show all the possible outcomes.

b) The probability of getting:

(i) at least one blue.

P(R, B) or P(B, R) or P(B, B) =

(ii) one red and one blue.

P(R, B) or P(B, R) =

(iii) two of the same color.

P(R, R) or P(B, B) =

Probability Tree Diagrams for Independent Events

How to solve probability problems using probability tree diagrams?
Example:
A coin is biased so that it has a 60% chance of landing on heads. If it is thrown three times, find the probability of getting
a) three heads
b) 2 heads and a tail
c) at least one head How to use a tree diagram to calculate combined probabilities of two independent events?
Example:
Jerry has a bag with seven blue sweets and 3 red sweets in it. She picks up a sweet at random from the bag, replaces it and then picks again at random. Draw a tree diagram to represent this situation and use it to calculate the probabilities that she picks:
(a) two red sweets
(b) no red sweets
(c) at least one blue sweet
(d) one sweet of each color

• Show Step-by-step Solutions

Probability Tree Diagrams for Dependent Events

How to use a probability tree diagram to calculate probabilities of two events which are not independent?
Example: Jimmy has a bag with seven blue sweets and 3 red sweets in it. He picks up a sweet at random from the bag, but does not replaces it and then picks again at random. Draw a tree diagram to represent this situation and use it to calculate the probabilities that he picks:
(a) two red sweets
(b) no red sweets
(c) at least one blue sweet
(d) one sweet of each color How to use a probability tree diagram to calculate probabilities of two events which are dependent?
Example: Inside a bag there are 3 green balls, 2 red balls and and 4 yellow balls. Two balls are randomly drawn without replacement. Calculate the probability of drawing one red ball and one yellow ball.

• Show Step-by-step Solutions

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