Labyrinth of Probability

A Probability Puzzle Roguelike

Labyrinth of Probability

Trust your gut, and you lose.

The Monty Hall problem, the birthday paradox, Bayesian false positives.
Solve famous probability paradoxes with your own hands as you make your way through a 9-room labyrinth. Each run takes 2–3 minutes, and your sense of probability sharpens as you play.

Free with ads · iPhone / iPad / Android · English and 76 more languages

A glowing die marked with ? and % floating in the middle of a labyrinth

Intuition vs Probability

Same labyrinth, different thinking.
Nearly 3× the win rate.

29%

Going with your gut

"Every door is the same." "This one feels right." The more plausible the answer, the deeper the trap.

VS
81%

Thinking in probabilities

Read the true odds from what you can see. Add smart use of fate stones, and the exit is within reach.

Clear rate in the standard Labyrinth when each strategy is followed in every room. Estimated from simulations during development.

7 Paradoxes

Seven rooms that betray your intuition.

Your answer sets your odds. After every room, you see the true odds of every choice and why.

ROOM I
2/3

Monty Hall's Doors

Pick a door and the guardian opens a losing one. Just switching takes your odds from 1/3 to 2/3.

ROOM II
7/8

Penney's Coin Duel

See your opponent's three-coin pattern, then pick yours. The right reply wins up to 7 times in 8.

ROOM III
31%

The Scout's Report

An accurate scout says "weak point". The chance there really is one can still be lower than you think.

ROOM IV
23

The Birthday Horde

With 23 in a horde, the chance two share a birthday is already about even. Will they?

ROOM V
≠ 1/2

Bertrand's Chests

You drew a gold coin. Is the other one in the same chest gold too? Count coins, not chests.

ROOM VI
⇄

Simpson's Spring

One potion wins overall, the other wins in every group. Look only at the totals and you pick the wrong one.

ROOM VII
×2

The Two-Envelope Demon

One envelope holds twice the other. "Swapping always pays," whispers the demon. Spot the expected-value trap.

BOSS
♛

Lord of Probability

Three battles in the ninth room. The same room can flip its answer depending on the guardian or the calendar.

Screens

One room, one paradox.

Title screen
A 9-room labyrinthLabyrinth, Daily and Master
Monty Hall's Doors room
Switch or stay?The guardian opened a losing door
Result with the true odds
Check the true oddsOdds and reasons for every choice
Penney's Coin Duel room
Going second winsPenney's Coin Duel
The Birthday Horde room
Shared birthdays?The birthday paradox
Labyrinth cleared with a rank
Clear it, aim for rank SReview every call you made

How to Play

Think, choose, and find out.

Answer the room's paradox

Doors, coins, reports, chests. Pick one choice and it is rolled at that answer's odds. A miss costs HP.

Learn the true odds

After every room, the real odds of each choice and a short explanation. Where your gut was wrong is where you grow.

Choose a path, place a bet

Pick the next room from two paths; the harsh path scores double. Bet a room's points on double or nothing. Fate stones reroll only when you miss.

Modes

A new challenge every day, a ranking worldwide.

LABYRINTH

Labyrinth

The core mode with a new set of rooms every run. Start with 20 HP and 2 fate stones.

DAILY

Daily Labyrinth

Everyone faces the same rooms each day. Only your first run of the day goes on the ranking.

MASTER

Master Labyrinth

Less HP, fewer fate stones and every room a level harder (in-app purchase). Scores are worth 1.5×.

RANKING

Online Ranking

All-time, daily, weekly and monthly. Joining is optional, and linking an account keeps your record on a new device.

Labyrinth of Probability app icon

Free to Play

Gut or probability?
Find out in the labyrinth.