Experimental vs. Theoretical
📋 What it is
Theoretical probability is the math prediction; experimental is what actually happens when you try.
🗣️ Coach says
Theory says a coin is 50-50. But flip it 10 times and you might get 7 heads — that's experimental probability. The more trials you run, the closer experiment creeps toward theory.
🧠 Memory hook
Theoretical = the maths prediction. Experimental = what really happened. More trials → they converge.
😂 Giggle
Why do statisticians love nature?
Because of all the natural distributions!
😲 Whoa!
Casinos rely on this: over millions of bets, the experimental results always drift to the theoretical odds — which favour the house.
✅ Quick check: You flip a coin 10 times and get 7 heads. Is 7/10 the theoretical or experimental probability?
Say your answer out loud first — then reveal.
Experimental — it's what actually happened; the theoretical value is 1/2.
Experimental probability comes from real trials, not the prediction.
🧪 Try it! (2 minutes)
Roll a die 20 times and compare how often you got a 6 to the theoretical 1/6.