Unit 6 · Topic 1

Simple Probability

Overview

Find how likely a single event is on a 0-to-1 scale.

Topic 1 of 2~56 min
Unit overview

The lesson

This lesson teaches Simple Probability. Read each section in order, work through every example on paper, then use the practice problems and quick check at the bottom.

The probability scale

Probability runs from 0 (impossible) to 1 (certain). One-half means an event is just as likely to happen as not.

When you study the probability scale, slow down and write one example in your notebook without looking at the screen. That active step is what turns reading into learning.

Calculating probability

For equally likely outcomes, probability = (number of favorable outcomes) ÷ (total number of outcomes).

When you study calculating probability, slow down and write one example in your notebook without looking at the screen. That active step is what turns reading into learning.

Worked example

A bag has 3 red and 5 blue marbles. What is the probability of drawing red?

  1. 1Favorable outcomes (red) = 3.
  2. 2Total outcomes = 3 + 5 = 8.
  3. 3Probability = 3/8.

Why this matters

Simple Probability shows up constantly in find how likely a single event is on a 0-to-1 scale. It also connects to what you will see on homework, quizzes, and the next unit in this grade.

Teachers often move fast in class. This page is here so you can pause, re-read, and practice until the idea feels familiar, not just until you have memorized a rule for one day.

Common mistakes to avoid

Rushing to the answer without writing steps. Middle-school math rewards clear work, and you catch errors earlier when steps are visible.

Mixing up similar ideas from the same topic. If two terms feel alike, make a two-column note: what is the same, what is different, and one example of each.

Key ideas from this lesson

  1. The probability scale
  2. Calculating probability

Video walkthrough

Math Antics

Basic Probability

The probability line, outcomes, and trials explained.

Watch on YouTube

Practice

For each problem: write your work in the box, type your answer, and check it. If you are stuck, reveal the solution one step at a time. Do not skip straight to the final answer.

Exercise 1

Try it yourself

A fair coin is flipped once. What is P(heads)?

Step-by-step solution

  1. 1One favorable outcome out of two equally likely: 1/2.

Exercise 2

Try it yourself

A bag has 4 green and 6 yellow marbles. Find P(green) if one marble is drawn at random.

Step-by-step solution

  1. 1Favorable = 4, total = 10.
  2. 2P(green) = 4/10 = 2/5.

Exercise 3

Try it yourself

A spinner has 5 equal sections numbered 1–5. Find P(even number).

Step-by-step solution

  1. 1Even outcomes: 2 and 4 → 2 favorable.
  2. 2P(even) = 2/5.

Exercise 4

Try it yourself

In 40 trials, a nail lands point-up 10 times. What is the experimental probability?

Step-by-step solution

  1. 1Experimental P = successes ÷ trials = 10/40 = 1/4.

Exercise 5

Try it yourself

Express 0.35 as a probability in simplest fractional form.

Step-by-step solution

  1. 10.35 = 35/100 = 7/20.

Quick check

Answer all questions. Retake the quiz until you feel confident before moving on.

Simple Probability

Question 1 of 4

Easy

A fair die is rolled. What is the probability of rolling a 4?

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