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Tree Diagrams Worksheet

This worksheet focuses on understanding and constructing tree diagrams to calculate probabilities of events.

Grade 11 Math Probability and StatisticsTree Diagrams
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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSS.CP.B.5CCSS.MATH.CONTENT.HSS.CP.A.4

Topics

MathProbabilityTree DiagramsStatisticsGrade 11
7 sections · Free to use · Printable
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Tree Diagrams: Probability

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Date:

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Read each question carefully and follow the instructions to construct tree diagrams and calculate probabilities.

1. A bag contains 3 red marbles and 2 blue marbles. A marble is drawn at random, its color is noted, and it is replaced. Then, a second marble is drawn. Draw a tree diagram to represent all possible outcomes and their probabilities.

2. Using the tree diagram from Question 1, what is the probability of drawing two red marbles?

a

9/25

b

6/25

c

4/25

d

1/5

3. In a tree diagram, the sum of the probabilities of all branches originating from a single node must always equal  .

4. Tree diagrams are only useful for independent events.

T

True

F

False

5. A student is taking two tests, Math and English. The probability of passing Math is 0.7, and the probability of passing English is 0.8. The probability of passing both is 0.6. Create a tree diagram to find the probability of passing exactly one test.

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