Experimental Probability & The Fundamental Counting Principle
(Week 5-6)
Experimental Probability & The Fundamental Counting Principle
(Week 5-6)
🧠 Explore
🎥 Watch and Learn
▶️ “Introduction to Probability – Math Antics”
▶️ “Experimental vs. Theoretical Probability"
▶️ “Understanding the Fundamental Counting Principle (FCP)”
▶️ “What Are Outcomes and Sample Spaces?”
🎯 Key Concepts
🪙 What Is Probability?
Probability measures how likely an event is to occur.
Found by performing an experiment and observing outcomes.
🎯 Theoretical Probability
As the number of trials increases, experimental probability gets closer to the theoretical probability.
If an event has m ways to occur and another event has n ways,
then together they have m × n possible outcomes.
Example 1:
If you can wear 2 shirts (blue, red) and 3 pants (black, khaki, gray):
2×3=6 possible outfits.
Example 2:
You roll a die (6 outcomes) and flip a coin (2 outcomes):
6×2=12 total outcomes.
🧰 Interactive Tools to Explore
🎲 Probability Spinner Simulator: https://www.mathplayground.com/probability_spinners.html
🪙 Coin Toss Simulator: https://www.random.org/coins/
🎯 Dice Roller: https://www.geogebra.org/m/sx2m9h7f
🔢 Counting Principle Visualizer (GeoGebra): https://www.geogebra.org/m/XNhbHwUQ