Misconceptions & Reasoning
📋 What it is
Common traps: the "gambler's fallacy", confusing correlation with cause, tiny-sample overconfidence.
🗣️ Coach says
Probability fools people constantly. Past coin flips don't change the next one (the gambler's fallacy). Two things rising together doesn't mean one caused the other. A tiny sample can lie. Knowing the traps protects you.
🧠 Memory hook
Each flip is independent — the coin has no memory. Correlation ≠ cause. Small samples mislead.
😂 Giggle
Why should you never trust a histogram?
Because it has a lot of bars and might be skewed!
😲 Whoa!
Ice-cream sales and shark attacks both rise in summer — but ice cream doesn't cause shark attacks; hot weather causes both. Correlation isn't cause.
✅ Quick check: A fair coin lands heads 4 times. Is tails now "due" on the next flip?
Say your answer out loud first — then reveal.
No — each flip is independent; it's still 50-50.
Past results don't change an independent event's probability (the gambler's fallacy).
🪄 Trick question: Warmer days show more ice cream sales AND more sunburns. Does ice cream cause sunburn?
Careful — think it through, then reveal.
No — the hot weather causes both; that's correlation, not causation.
A shared cause creates a link without one thing causing the other.
🧪 Try it! (2 minutes)
Flip a coin 5 heads in a row (keep trying!). The 6th flip is still exactly 50-50.