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Introduction to Probability

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Lesson Details

Grade Level
6-8
Duration (minutes)
1
Summary
A Grade 6-8 math lesson introducing probability as a measure of how likely an event is to happen, on a scale from 0 (impossible) to 1 (certain), using the formula P(event) = favorable outcomes ÷ total outcomes, with a worked example finding the probability of rolling a 4 on a six-sided die.

Probability number line from 0 (impossible) to 1 (certain), the formula P(event) = favorable outcomes divided by total outcomes, and a worked example showing the six faces of a die with the number 4 highlighted, calculating P(4) = 1/6 which is about 16.7%

Student Worksheet: Introduction to Probability

Teacher Note: Students can watch the video lesson above and answer the questions. Click the “Teacher Answer Key” dropdown below when you are ready to review the solutions!

Key Concepts:

• Probability Scale: Probability is measured from 0 (impossible) to 1 (certain), with values in between showing different levels of likelihood.

• The Formula: P(event) = favorable outcomes ÷ total outcomes.

• Favorable vs. Total Outcomes: A favorable outcome is the result you want; total outcomes means every possible result.

• Different Forms: A probability can be written as a fraction, a decimal, or a percent — they all represent the same value.

Instructions: Read each question carefully and write your answer in the space provided.

  1. Question 1: What does a probability of 0 mean? What does a probability of 1 mean?
  2. Question 2: What is the formula for probability?
  3. Question 3: When rolling a six-sided die, how many total outcomes are there? How many favorable outcomes are there for rolling a 4?
  4. Question 4: Calculate the probability of rolling a 4 on a six-sided die. Write your answer as a fraction.
  5. Question 5: Convert your answer from Question 4 into a decimal and a percent.
Click to reveal Teacher Answer Key

1. A probability of 0 means the event is impossible. A probability of 1 means the event is certain.

2. P(event) = favorable outcomes ÷ total outcomes.

3. There are 6 total outcomes (1, 2, 3, 4, 5, 6) and 1 favorable outcome (rolling a 4).

4. P(4) = 1/6.

5. As a decimal, about 0.167. As a percent, about 16.7%.

Disclaimer: This worksheet was generated with AI assistance based on original video content. It is intended for educational reference only. Teachers are encouraged to review and adjust questions to fit their curriculum standards before classroom use.

🎯 Extension Activity: A bag has 3 red marbles, 2 blue marbles, and 5 green marbles. Find the probability of picking a blue marble, and write your answer as a fraction, a decimal, and a percent.

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