Lesson: Using Tree Diagrams to Count Outcomes

In this lesson, we will learn how to use a grid or a tree diagram to find outcomes.

Sample Question Videos

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  • 00:39
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Worksheet: Using Tree Diagrams to Count Outcomes • 14 Questions • 3 Videos

Q1:

In probability, what is an outcome defined as?

Q2:

In an experiment, this spinner is spun. List all the possible outcomes.

Q3:

If the shown spinner was spun once and a coin was tossed once, determine the number of possible outcomes.

Q4:

List all the possible outcomes when spinning this spinner.

Q5:

A class have a die with the numbers 1, 2, 3, 4, 5, and 6 and a spinner with the numbers 2, 4, 6, and 8. They are going to roll the die and spin the spinner and find the sum of the two numbers that appear. They started to complete a two-way table to model the sample space.

Die
1 2 3 4 5 6
Spinner 2 3 4 5 6 7 8
4 5 6 7 8
6 7 8
8 9 10

How many possible outcomes are there?

By completing the table, find the probability of the sum being a number greater than 10.

Give your answer as a fraction in its simplest form.

Q6:

A pair of numbers is obtained by spinning this spinner once and rolling a number cube. How many possible outcomes are there?

Q7:

Daniel is going to spin both of these spinners and record the two letters that appear.

Which of the following tree diagrams shows the sample space of the letter pairs?

How many possible outcomes are there?

Find the probability of getting 𝐴 or 𝐵 on spinner 1 and 𝐷 on spinner 2. Give your answer as a fraction in its simplest form.

Q8:

The image shows a fair spinner.

Daniel wanted 5 random numbers from 1 to 5, so he spun the spinner 5 times. His results were 1, 2, 3, 4, and 5.

Which of the following statements is true about his results?

Q9:

In an experiment, this spinner is spun. List all the possible outcomes.

Q10:

In an experiment, this spinner is spun. List all the possible outcomes.

Q11:

In an experiment, this spinner is spun. List all the possible outcomes.

Q12:

If the shown spinner was spun once and a coin was tossed once, determine the number of possible outcomes.

Q13:

If the shown spinner was spun once and a coin was tossed once, determine the number of possible outcomes.

Q14:

List all the possible outcomes when spinning this spinner.

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