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Theoretical and Experimental Probability

5 min readGrade 7 · Data & Probability

Theory says a fair coin lands heads 1/2 the time. Reality says flip it 10 times and you might get 7 heads. The gap between theoretical and experimental probability — and why it narrows with more trials — is one of the deepest ideas in probability. Students explore it firsthand through experiments.

What students explore

Theory says a fair coin lands heads 1/2 the time. Reality says flip it 10 times and you might get 7 heads. The gap between theoretical and experimental probability — and why it narrows with more trials — is one of the deepest ideas in probability. Students explore it firsthand through experiments.

Key ideas

Calculate theoretical probability using favorable outcomes / total outcomes. Design and conduct probability experiments. Compare theoretical and experimental results. Explain why experimental results vary from theoretical predictions.

Putting it together

Apply these ideas through hands-on activities, guided practice, and real-world problems.

KEY VOCABULARY
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