A host who knows the answer changes what an open door tells you.
See how the
world behaves.
Move a slider. Test an assumption. See what changes.
Explore probability, risk, decisions, and the patterns that connect them.
341 hands-on experiments · a guided learning path · room for curiosity
One edge. Many futures.
Follow your curiosity.
A small room contains far more possible pairs than people.
More observations can stabilize an average without making the next outcome predictable.
Small repeated changes build on everything that came before.
Adding one more input can produce less extra output than the one before.
Choosing one useful thing means giving up another useful thing.
Money already spent can pull a decision away from what happens next.
An initial number can keep pulling an estimate toward itself.
Tests that agree with a theory may leave its strongest rivals untouched.
An immediate reward can outweigh a larger future one—and reverse an earlier plan.
Memory fades, and the timing of review changes what remains available later.
Shared resources depend on both individual demand and the rules people build together.
A tempting individual move can leave both players worse off.
Local preferences can produce a larger pattern that nobody explicitly chose.
Tiny differences in starting conditions can grow into very different trajectories.
The shape of a response determines whether variation helps or hurts.
Separate a protected reserve from a small, explicitly risky allocation.
The right to act without an obligation changes the downside of uncertainty.
Who receives the upside—and who bears the loss—can change a decision.
A long reassuring history can miss the mechanism that ends it.
A valuable shared goal can require confidence that others will join.
Each side wants the other to yield, but mutual escalation is costly.
A predictable choice can be exploited even when neither pure choice is best.
A shared convention can help people choose the same place without talking.
A contribution can benefit the whole group while costing the contributor.
An offer can be profitable and still be rejected.
A negotiated split depends on what each side can get without a deal.
Paying the second-highest bid changes the incentive to report your value.
The highest estimate may be the one with the largest upward error.
When buyers cannot observe quality, good products can leave the market.
A trend inside every group can reverse when the groups are pooled.
Known odds and unknown odds can feel different even when their midpoint matches.
Two pairs of lotteries can expose tension in how we value certainty.
People can follow earlier actions even when their own clue disagrees.
A shared project succeeds only after enough people contribute.
The first person can grow a shared pie but cannot force a fair return.
Passing grows the pot, but each player can take it first.
Everyone benefits if one person acts, but each hopes someone else will.
Try to predict what others will predict, not a number's intrinsic value.
Two sellers compete for customers spread along one street.
Stopping too early and searching forever can both lose the best candidate.
Trying an uncertain option can teach you something, even when another seems better now.
The final missing item can take much longer than the first few.
A streak can feel like it makes the opposite result due, even when trials are independent.
A random arrival is more likely to land in a long gap than a short one.
Leading digits in scale-spanning measurements are often far from uniform.
A stricter threshold reduces false alarms but can miss real signals.
A fair binary event carries more uncertainty than one that almost always repeats.
Repeating a bit can overcome some errors but uses extra capacity.
An extra shortcut can make selfish routing slower for everyone.
A part that cannot be sped up limits the gain from adding more workers.
More items in a stable process usually means a longer time spent inside it.
Small customer changes can become larger swings in upstream orders.
A more efficient tool can increase total resource use if demand expands enough.
A small fraction can account for a large share when values have a heavy tail.
A ranked item can appear roughly in inverse proportion to its rank.
Contact and recovery rates change the shape of an outbreak in a closed population.
Growth slows as a population approaches a finite capacity.
Two interacting populations can rise and fall out of phase.
A very small population may struggle to recover even when resources are available.
A small change in visible adoption can trigger a larger collective shift.
Equivalent outcomes can feel different when described as gains or losses.
Owning an item can change the price at which someone is willing to give it up.
An inferior third option can change how two original options are compared.
A remembered experience may emphasize its strongest moment and its ending.
A project can take longer than the inside-view estimate suggests.
Early adopters and imitation can create an S-shaped adoption curve.
Moving toward the middle can win more nearby voters in a simple one-dimensional election.
If everyone expects a quiet venue, the venue may become crowded.
Spending more effort raises your chance of winning but everyone pays their effort cost.
Name the ink color while the word tries to distract you.
A nearby, larger target is generally easier to reach.
More possible responses can increase the time needed to choose.
A vivid two-part story can feel more likely than one of its parts.
Memorable headlines are not a representative sample.
An impressive introduction can spill into unrelated judgments.
The label on a loss can change how the same money feels.
Removing a small risk can feel better than preventing more harm overall.
A preselected option can steer a choice before you compare it.
Compare confidence with answers rather than labeling people.
Selecting on either of two strengths can create a misleading tradeoff.
Highly connected people appear in more friendship lists.
Independent errors can cancel; a shared bias survives averaging.
A clue is valuable when it can change a worthwhile decision.
Combining different exposures helps most when they do not move together.
A fair step can still leave a long path far from its start.
Too many separate permissions can leave a useful resource unused.
Choose a side—but the smaller crowd wins.
No move wins against every response; predictability is exploitable.
A smaller inflow can still leave a stock growing.
Turn only the cards that could expose a broken rule.
Pause before accepting an answer that feels immediately right.
Choose boxes, then distinguish prediction from causation.
Watch a small bid become an expensive contest.
A tiny undercut changes both travelers’ payments.
Take stones from one pile and try to take the last stone.
Race two coin patterns that have equal frequency but unequal winning chances.
Find a cycle of dice where no die is best against every opponent.
Build a tiny tile picture, then compare attachment with quality.
Test whether a flattering description actually distinguishes you.
Choose the launch button, then check whether choice changes the odds.
Compare a familiar name with evidence that matters to the task.
Recall a list, then inspect which positions you remembered.
Try retrieval with feedback instead of only rereading.
Reveal evidence behind an attractive or alarming label.
Compare the scale of a benefit before allocating a fixed budget.
A lottery’s average can be dominated by very rare prizes.
Compare fighting and yielding as the opponent mix changes.
Three consistent voters can produce a cycling majority.
Adding a seat can make one group lose its allocation.
Move resources toward one person and watch inequality change.
Drawing a color makes that color easier to draw next time.
Drop balls through left–right decisions to build a mound.
Open tiles until a connected path crosses the board.
Watch a concentration spread while the total stays constant.
Yesterday’s price can make tomorrow’s market oscillate.
Compare a chain of dependencies with independent backups.
A few long links shorten routes across a ring.
Update an urn hypothesis one observation at a time.
The same input can leave a switch on or off depending on its history.
Make proposals, keep tentative matches, and eliminate blocking pairs.
You both want to meet, but prefer different venues. Can you coordinate?
Choose how much to produce before seeing the market price.
Commit first, then watch a rival choose its best response.
Price a shared product and see what a one-token undercut changes.
Outlast a rival—but remember that every round costs you.
Allocate ten tokens across three contests. Win places, not just one landslide.
Route traffic and compare individual incentives with total delay.
Seed a behaviour and see when one contact is not enough.
Deploy a forecast and watch the forecast change what happens next.
Move two thresholds and compare different meanings of an equal outcome.
Release a noisy count and see why repeated queries spend a privacy budget.
Track the target symbols, then notice what else happened in the scene.
Compare two scenes with a gap between them and find the changed tile.
Rate two unfamiliar patterns, see one more often, then rate again.
Arrange return tiles and discover why an average gain can hide a loss.
Move the crash year and try to fund the same withdrawals.
Run two identical portfolios and watch small charges widen their gap.
Grow your token balance, then price the shopping basket it can buy.
Shock a bond's yield and compare the exact price with a duration estimate.
Bid for a five-year cash-flow stream, then stress your assumptions.
Borrow to buy, survive a price shock, and decide how to repair the account.
Keep a target mix through market rounds, or let the winner take over.
Buy equal token amounts through a rise, fall, or recovery and compare timing.
Choose what to sell, then change only the purchase-price labels.
Make the same risky choice with a different story about where the money came from.
Run a treasury desk and discover what needs refinancing when rates change.
Split a twelve-hour studio week between service work and a reusable product.
Combine three skill cards, then test your mix against a customer brief.
Buy or pass six fictional deals using the uncertainty range you actually have.
Spend six effort tokens before the weather arrives. Separate your preparation from the outcome.
Choose society's allocation before discovering which position you occupy.
Compare a switch with a bridge case and examine the reason behind your choices.
Choose between equally pleasant experiences with different connections to reality.
Replace eight planks, keep every original, and build the rival ship yourself.
Add one grain at a time and record when your label changes.
Spend an upgrade budget, step time, and see which gains your chosen model retains.
Two rules fit every training point. Commit a prediction before seeing the next one.
Inspect the factory's badges and look for a result the claim rules out.
Give one borrower a false-promise exception, then apply that same rule to everyone.
Allocate five aid tokens and compare total gains with the least-served group.
Judge identical packing decisions before and after a chance outcome is revealed.
Assess the same testimony anonymously, then reveal a status label and reassess it.
Use a six-token town budget to turn equal resources into usable opportunities.
Move halfway to the finish and compare shrinking time intervals with fixed ones.
Balance the groups and separate a treatment effect from a background advantage.
Use encouragement to identify an effect, then deliberately break the instrument.
Inspect a policy cutoff and discover why a nearby second policy matters.
Compare changes, then see what happens when the comparison trend is wrong.
Search thirty hypotheses without mistaking every small p-value for a discovery.
Reverse an environment and watch an inherited advantage change direction.
Sample a tiny population one generation at a time and watch neutral alleles wander.
Keep the same allele frequency while changing the genotype mix.
Explore why selection need not erase a deleterious recessive allele.
Tune how strongly two species compete for the same limited resources.
Run two auction rules on the same values and compare one sale with many.
Choose a ranking and see whether an honest ballot produces your least preferred winner.
Find a credential threshold that separates two types with different costs.
Commit an investment before bargaining and inspect whose incentives cover its cost.
Ask for a share, face rejection, and watch delay shrink the available pie.
Tune a driving frequency, add damping, and inspect the resulting vibration.
Steer toward a target using delayed measurements and discover overcorrection.
Spend three acceleration tokens on a six-task project and try to launch sooner.
Race a straight ramp against a longer cycloid and see which arrives first.
Propose an engine's work output and test it against a thermodynamic ceiling.
Turn skewed observations into collections of averages without changing the original distribution.
Predict which groups look more extreme before comparing five flips with a hundred.
Add noise to the predictor and investigate why a fitted slope can look too weak.
Open ranked search results and balance useful finds against unnecessary reading.
Make ten probability forecasts, reveal outcomes, and score confidence honestly.
Practise area and perimeter in blocks or mixed order, then take a mixed test.
Complete word fragments or read word pairs, then recall the targets yourself.
Remember a tile sequence, optionally solve another task, then reconstruct the order.
Pay to inspect offers and decide when an option is good enough.
Combine reward and inhibition gradients and watch the strongest response move.
An audience strengthens a habit. Does the task call for that habit?
Rate original symbols after visible context words and inspect your own responses.
Judge which pattern you prefer and which you remember, separately.
Estimate a team's private support, then reveal the anonymous preference poll.
A team publicly agrees to a trip that every member privately opposes.
Rehearse a familiar jug recipe, then find a shorter solution.
Turn a container into a support in a small workshop puzzle.
Identify an incomplete outline, then inspect the whole shape.
Compare the difference you report noticing against two reference sizes.
Change spacing while keeping all thirty-six dots identical.
Divide a shared surplus by inspecting every joining order.
Change the quota and compare vote weight with pivotal power.
Change future incentives before a rival decides whether to enter.
Compare maintenance incentives before and after a warranty shares the loss.
Report a benefit, fund a project and inspect the pivot payments.
Find an exchange both countries accept even when one is faster at everything.
Choose a tax while counting pollution damage and treating receipts as transfers.
Assign a noise right and test whether a voluntary bargain changes the outcome.
Move extraction between two periods and compare discounted scarcity rent.
Compare unit costs when wages rise faster than one sector's productivity.
Mix two losing games and inspect how state dependence changes the result.
Edit a four-node link graph and follow the flow of ranking mass.
Grow a network by favouring well-connected nodes or choosing uniformly.
Add voters and test what happens when they share the same signal.
Flip transmitted bits and discover what one-error correction can and cannot repair.
Harvest a depleting berry patch and choose when to pay the travel cost.
Choose a venue by protecting the worst payoff or limiting hindsight shortfall.
Pay to preserve an investment choice until after uncertainty is revealed.
Keep the average input fixed and change the average transformed outcome.
Escape a local minimum by allowing some uphill moves, then cool the search.
Can you identify the central arrow when nearby arrows agree or conflict?
Match two central circles, then remove the surrounds to inspect your adjustment.
Does changing the arrow-fin context change the length that looks equal?
Match the inner squares before giving both the same surrounding grey.
Explore a reversible vase-and-profiles drawing with different visual cues.
Study a scene, encounter a later suggestion, then compare your recall with the original.
Estimate how many peers share your choice, then inspect a fictional panel.
Rate a quiz performance before and after learning who controlled the questions.
Study a team’s expertise directory and route six requests to the right person.
Build two if–then rules and inspect how they route a sequence of everyday events.
Build repeated confidence intervals and reveal which contain the generating mean.
Change sample size and effect size, then compare expected power with a hundred simulated tests.
Observe a coin stream and stop only when a predeclared likelihood-ratio boundary is crossed.
Inspect resampled means and see what happens when the largest observed value is omitted.
Plot four datasets and omit individual observations to inspect the structure behind a regression.
Compare a fixed-rate repayment schedule with and without an extra monthly payment.
Pay three hypothetical debts by smallest balance or highest rate and compare both complete schedules.
Shift the yield of a fixed-coupon bond and compare exact repricing with two approximations.
Distribute a fictional firm’s cash, then introduce dividend tax and optional reinvestment.
Mix two assets, alter correlation and find the minimum-variance portfolio.
Decide when to stop a descending auction clock before a scripted rival does.
Choose a bid for a twelve-unit prize when every participant pays regardless of winning.
Compare a hat puzzle with and without a public announcement that at least one hat is blue.
Price two quality tiers and observe which contract each private customer type chooses.
Swap households between two towns and compare service fit with the cost of moving.
Add A or B to a reversible mixture and compare its reaction quotient with equilibrium.
Spend six resource tokens to lift a fictional plant’s limiting resource.
Compare a toy planet starting warm or cold, with and without temperature-dependent reflectivity.
Couple two oscillators and inspect their phase difference over time.
Increase prey carrying capacity and compare stable coexistence with predator–prey oscillations.
Trace tentative distances through a weighted network until the cheapest route is certified.
Draw walls and compare grid searches using different heuristic weights.
Replay the same page requests through three-slot and four-slot caches under FIFO and LRU.
Search hidden binary objectives, then change the family from unrestricted to ordered.
Compare equal-size row and column districts, then edit the voter geography.
Choose between equal routes, wait for more reasons, or use a fair tie-breaker.
Predict what Mary gains from first seeing red, then compare interpretations of the knowledge argument.
Judge a well-supported true belief, then inspect whether its truth depended on an accident.
Follow a symbol rulebook before considering what successful output establishes about understanding.
Compare population sizes and well-being under total and average evaluations.
Move a sound source and predict the frequency heard by a stationary observer.
Trace a ray across air and glass, then find total internal reflection.
Move away from an ideal point source and compare intensity with spreading area.
Change wavelength and slit separation to build a pattern of bright and dark fringes.
Try releasing electrons with longer-wavelength light before increasing photon flux.
Reconnect two resistors and compare source current, resistance and power.
Balance a resistor bridge until no current crosses between its midpoints.
Narrow an ideal horizontal pipe and compare speed with static pressure.
Choose two cart masses and resolve a collision while checking conservation.
Change a sealed object’s mass and exterior volume to make it float in two fluids.
Balance immigration and extinction while distinguishing richness from turnover.
Keep a region occupied even when individual habitat patches lose their local populations.
Remove a top predator and trace indirect changes through a three-level food web.
Classify five helping acts using relatedness, reproductive benefit and cost.
Make rarity advantageous or disadvantageous and track a type’s changing frequency.
Find a hidden integer by splitting an ordered range rather than scanning every candidate.
Sort six values with two algorithms and count comparisons separately from writes.
Build a prefix code, change symbol weights and encode your own short message.
Add a server to a hash ring and inspect exactly which keys move.
Insert words into a tiny bit filter and hunt for a false positive.
Compare an online-only survey frame with a complete fictional population.
Open a file drawer of studies hidden by a significance-only publication rule.
Inspect individual cells before translating a district-level association into a personal claim.
Narrow the selected range of one variable without changing its generating relationship.
Move one observation and compare mean, median and trimmed mean.
Reveal independent arrivals and compare random gaps with the expected event rate.
Condition on a long run of failures and calculate the remaining geometric wait.
Estimate a fictional sensitive-trait prevalence from deliberately noisy survey answers.
Compare how often fair random walks spend almost an entire horizon on one side of zero.
Choose what a random chord means before estimating its chance of exceeding √3.
Recall eight digits after studying either a grouped or ungrouped layout.
Recall a short word list containing one visually distinctive item.
Study arbitrary code pairs using text alone or text with an added visual cue.
Compare repeated study cards placed together or separated by other items.
Remember a future action while completing an eight-card odd-or-even task.
Explore responses to a conflict between a fictional priority and a chosen action.
Record a preference before and after a neutral or controlling choice message.
Find the cheapest suitable offer in a small or large fictional catalog.
Compare your impression of mixed feedback with an explicit negative-item weighting rule.
Choose a reward route after making its effort cost explicit.
Follow or ignore a private recommendation in a collision-avoidance payoff game.
Design a publicly known signal policy while keeping the receiver’s Bayesian incentives visible.
Choose actions after costless messages from aligned or biased scripted senders.
Execute cycles of favourite available houses without using money.
Remove only strategies that are strictly worse against every active opponent action.
Increase saving and compare immediate consumption with long-run capital per worker.
Trace an initial spending change through successive consumption rounds.
Introduce a per-unit tax and separate the buyer’s price from the seller’s receipt.
Set employment for a single employer and inspect marginal labour cost.
Choose which of two monies to spend under face-value or commodity-value acceptance.
Compare two portfolios with identical terminal payoffs but adjustable quoted costs.
Hedge a foreign investment and separate forward pricing from a future spot forecast.
Trade premium cost against retained loss and compare expected wealth with a utility benchmark.
Set reserves and early withdrawals before liquidating a long asset at a discount.
Build a return path and distinguish current drawdown, worst drawdown and required recovery.
Order a perishable stock quantity before revealing tomorrow’s uncertain demand.
Balance annual ordering cost with the cost of holding a larger average inventory.
Hold utilisation fixed while changing arrival and service variability.
Double cumulative production and inspect an assumed unit-cost progress ratio.
Queue five known-duration jobs and compare complete schedules’ average waiting.
Remove a bridge or a redundant local edge and compare who remains reachable.
Average only nearby opinions and inspect consensus or persistent separated groups.
Copy neighbours on a ring and see whether agreement can emerge without new evidence.
Exchange weighted beliefs and compare an averaging network with a stubborn source.
Change same-group linking preferences and count actual cross-group connections.
Compare two stipulated worlds that supply exactly the same observable experiences.
Inspect identical appearances before revealing different stipulated chemical environments.
Change whether a policy affects the same future person or who comes to exist.
Allocate resources under an extreme utility scale and inspect what total maximisation permits.
Compare rival predicates that fit every past observation but project different future colours.
For some things, the longer they have lasted, the longer they may last.
Extreme events can be more common—and more consequential—than we expect.
Having an edge is one thing. Knowing how much to bet is another.
Even a favorable game can end badly when your resources are finite.
A convincing story can make us forget how rare something was to begin with.
An extraordinary result is often followed by something more ordinary.
When a measure becomes a target, it can stop being a good measure.
The stories we can see may hide the evidence we need most.
A small number of outcomes can account for a very large share of the whole.
Losing something can feel larger than gaining the very same thing.
Some things become more useful when more people use them.
When someone acts on your behalf, whose interests are they serving?
The chance of crossing a boundary from which you cannot continue.
When does an average across many worlds describe one journey through time?
Time is a kind of evidence.
Why might a 100-year-old idea outlast a new one?
Explore the Lindy Effect, one possible future at a time.
Follow a curious mind.
Different thinkers. Connected questions.
Some ideas make more sense
when you can play with them.
Change the assumptions.See what breaks.
Run it many times.See what probability hides.
Compare different worlds.Build intuition instead of memorizing formulas.