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.
A bag has 3 red and 5 blue marbles. What is the probability of drawing red?
- 1Favorable outcomes (red) = 3.
- 2Total outcomes = 3 + 5 = 8.
- 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
- The probability scale
- Calculating probability
Video walkthrough
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 yourselfA fair coin is flipped once. What is P(heads)?
Step-by-step solution
- 1One favorable outcome out of two equally likely: 1/2.
Exercise 2
Try it yourselfA bag has 4 green and 6 yellow marbles. Find P(green) if one marble is drawn at random.
Step-by-step solution
- 1Favorable = 4, total = 10.
- 2P(green) = 4/10 = 2/5.
Exercise 3
Try it yourselfA spinner has 5 equal sections numbered 1–5. Find P(even number).
Step-by-step solution
- 1Even outcomes: 2 and 4 → 2 favorable.
- 2P(even) = 2/5.
Exercise 4
Try it yourselfIn 40 trials, a nail lands point-up 10 times. What is the experimental probability?
Step-by-step solution
- 1Experimental P = successes ÷ trials = 10/40 = 1/4.
Exercise 5
Try it yourselfExpress 0.35 as a probability in simplest fractional form.
Step-by-step solution
- 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
A fair die is rolled. What is the probability of rolling a 4?