// Interactive lab

Probability Signal Simulator

Interactive probability lab showing why new information can make switching the stronger long-run choice.

A hands-on lab for seeing why new information can make switching the stronger choice.

This Monty Hall-style lab teaches the probability shift without assuming the concept is already familiar. Make an initial choice, remove a known miss, then run repeated trials in real time to watch the keep-versus-switch results settle into their long-run pattern. Deeper simulation modes expand the same rule to larger starting sets and partial reveals.

What this shows

The simulator starts with a first choice, reveals information that is known to be wrong, and then compares keeping the first choice against switching after the new information arrives.

How to read it

One round can feel noisy. Repeated trials show the pattern: the original choice keeps its starting probability, while the remaining unrevealed alternative can carry more of the probability from the options you did not choose.

Why it matters

The lab is a small model for decision quality. A person can make a reasonable first choice, receive new information, and still need to update the decision instead of defending the original pick.

Limits

This is an educational probability lab. It is not a market model, investment recommendation, or proof that switching is always the right action in every real system.

Related

Compare it with Chaos Divergence Explorer and Market Intelligence Field Notes.

Round 1 step 1: choose
1Pick a starting signalChoose A, B, or C. The first pick starts with a 1 in 3 chance. 2Reveal a known missThe simulator removes a wrong signal you did not choose. 3Make the final decisionKeep your first pick or switch to the only unopened alternative.
Choose one signal. Exactly one is correct. After your first choice, the simulator will remove one unchosen signal that is definitely wrong.
Repeated trials Watch the pattern form as trials accumulate.

The point: your first pick keeps its original 1 in 3 chance. The two signals you did not choose started with a combined 2 in 3 chance. When the reveal removes one known miss from that group, the remaining unchosen signal carries that 2 in 3 chance.

Starting set3 signals
Known misses1 removed
Switch targets1 left
One miss is removed, leaving your first pick and one switch target.
Ready. Press Run simulation to watch the results build trial by trial.
The lesson is not that every single switch wins. It is that repeated trials expose the underlying odds, while small samples can still feel noisy.