Basic Probability | Sample Space, Events, Outcomes & Real‑World Examples - Probability

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In this lesson from the MathSupport channel, ‪@mathsupportnow‬ , we explore the foundations of probability: what probability means, how to calculate it, and how to interpret results using fractions, decimals, and percentages. You’ll learn the definitions of sample space, events, and outcomes, and work through several real‑world examples involving coins, dice, and marbles. This lesson sets the groundwork for more advanced probability topics such as independent and dependent events.

What You’ll Learn in This Video:
✅ What probability means
 • Likelihood of an event
 • Ratio of desired outcomes to total outcomes

✅ Restrictions on probability values
 • Probability cannot be less than 0
 • Probability cannot exceed 1
 • 0 = impossible event
 • 1 = guaranteed event

✅ Key definitions
 • Sample space: all possible outcomes
 • Event: a subset of the sample space
 • Outcome: a single result
 • Experiment: an action with measurable results

✅ Worked examples
 • Flipping a coin three times
 • Listing all 8 outcomes in the sample space
 • Probability of getting exactly two tails and one head
 • Converting probabilities to decimals and percentages

✅ Real‑world probability with marbles
 • Counting total outcomes
 • Probability of selecting a red marble
 • Dependent events (no replacement)
 • Probability of drawing two white marbles in a row
 • Probability of drawing a blue then a yellow marble

00:00 – Introduction: Basic probability
00:09 – Definition of probability
00:34 – Probability restrictions (0 to 1)
01:20 – Sample space definition
01:49 – Events and outcomes
02:36 – Example: Flipping a coin three times
03:31 – Probability of two tails and one head
04:20 – Fraction, decimal, and percent forms
05:09 – Example: Marbles in a bag
05:52 – Probability of selecting a red marble
06:38 – Dependent events (no replacement)
07:25 – Probability of two white marbles
08:23 – Probability of blue then yellow
09:31 – Wrap-Up & Next Lesson Preview

This video is ideal for students in:
🎯 Grade 8–12 Math
🎯 Foundations of Probability
🎯 Canadian, US, UK, NZ, AUST Math Curriculum, BC Math Curriculum
🎯 Teachers, Tutors, Parents who need more resources

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Watch next: Independent & Dependent Probability

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