Monte Carlo Simulation

Ever wondered how scientists estimate things that are too hard to calculate
directly? They cheat — in the cleverest way. They try it at random, thousands
of times, and watch the answer appear. That trick is called the Monte Carlo
method, and this app turns it into a set of simple, hands-on experiments
anyone can understand — from curious kids to grown-up data lovers.

No formulas to memorize. No prior math needed. Just tap, watch randomness do
its work, and discover the pattern hiding underneath.


WHAT YOU CAN DO

🎯 Estimate π
Throw random darts at a circle inside a square. Count how many land inside,
multiply by four, and — like magic — the number π appears. The more darts you
throw, the closer you get to 3.14159.

🪙 Coin Flips
A few flips look lopsided, but flip thousands and the share of heads settles
right around 50%. See the famous law of large numbers happen in real time.

🎲 Dice Sum
Roll two dice over and over. The totals build a neat triangle that always
peaks at 7 — the most likely sum. Watch a distribution take shape before
your eyes.

💰 Investment
The future is uncertain, so we simulate thousands of possible 10-year
outcomes at once. Instead of one fragile guess, you get an honest map of what
could happen — best case, typical case, and worst case — plus your chance of
profit.

✨ ...and many more experiments to explore.


WHY YOU'LL LIKE IT

- Built for all ages — playful enough for a child, meaningful for an adult.
- Live, interactive visuals — every experiment animates as you run it.
- Real math, made clear — clean formulas (rendered with KaTeX) and a short
"why it works" note on every screen.
- A friendly guide — a little mascot explains each idea in plain language.
- Light, fast, and distraction-free.


THE BIG IDEA

Monte Carlo powers weather forecasts, financial planning, engineering safety
checks, and even the graphics in animated films. One simple principle runs
through all of it:

"If something is too complex to compute, try it at random many times — and the
answer will reveal itself."

Download Monte Carlo Simulation and start discovering how randomness can
measure the world.

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Note: this app uses an internet connection to display math formulas and ads.