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.