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Experimental vs Theoretical Probability!

What Should Happen vs What Actually Happens
With your kind teacher Mrs. Brenda ❀️

Hi my amazing Grade 6 probability scientists! πŸ‘‹

Today we explore the difference between Theoretical Probability (what math says should happen) and Experimental Probability (what really happens when we do the experiment). The more times we try something, the closer the two get!

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1. Theoretical vs Experimental

Theoretical Probability

What SHOULD happen

Calculated using math

Example: Coin flip = 1/2 = 50%

Experimental Probability

What ACTUALLY happens

Based on real trials

Example: Flip coin 20 times β†’ maybe 11 heads (11/20 = 55%)

2. Try It Yourself! Coin Flip Experiment

Theoretical Probability of Heads = 1/2 = 50%

3. Let’s Practice Together! πŸŽ‰

Question 1

Theoretical probability of rolling a 3 on a die is 1/6. If you roll it 60 times, about how many 3s do you expect?

About 10 times (60 ÷ 6 = 10) ⭐

Question 2

Why does experimental probability get closer to theoretical probability when we do more trials?

The Law of Large Numbers β€” more trials = more accurate results ⭐

4. In Real Canadian Life πŸ‡¨πŸ‡¦

β€’ Weather forecasters use both types
β€’ Sports analysts predict game outcomes
β€’ Companies test products many times
β€’ Scientists repeat experiments

You understand Experimental & Theoretical Probability! 🌟

Amazing work! You can now tell the difference and see how they work together.

Keep experimenting β€” the more you try, the better your predictions become!

Love and lucky high-fives,
Mrs. Brenda ❀️

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