Think in Odds

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One probability puzzle a day: work out the odds, type a number or fraction, and read the illustrated solution.

Every day: One numbered probability puzzle a day, the same for everyone, tagged with a topic (counting, expected value, strategy, conditional or Bayesian reasoning), a difficulty and an expected time, with hints and an illustrated solution. New puzzle: 8 p.m. US Eastern Time.

Play Think in Odds on thinkinodds.com

Puzzle archive

Think in Odds puzzle No. 013, A surprisingly small room: the birthday question with the answer box, Check answer and hint buttons

Think in Odds publishes one probability puzzle a day, free and without an account. Each numbered puzzle asks a short question about coins, dice, families or draws from a bag; you type your answer as a number or fraction, can ask for a hint, and can reveal a worked, illustrated solution. A new question appears at 8 p.m. Eastern, and every past puzzle stays in the archive.

About Think in Odds

Think in Odds is a daily puzzle site about probability, published by David Z. Chen. The first puzzle, No. 001, appeared on 24 September 2026 with the classic question about the door you did not choose, and a new one has followed every day since. Each puzzle has a title, a topic such as Counting, Expected value, Strategy, Conditional probability or Bayesian reasoning, a difficulty of Easy or Medium so far, and an estimated time.

The question is short and plain, for example how many people you need for a better than even chance that two share a birthday, or how to split 50 green and 50 red balls between two jars to make a lucky draw most likely. A Read the assumptions panel spells out exactly what is meant, so there is one right answer. You type a number or a fraction and press Check answer; an optional Work it out box lets you write down your reasoning first.

If you are stuck, Give me a hint offers a nudge, and Reveal solution shows the full argument with illustrations. Each puzzle has its own page, a Challenge a friend link, and links to the previous and next puzzles. The archive lists every released puzzle, newest first, without spoilers, and can be filtered by topic. You can also sign up for a daily email.

The site is free and needs no account. It suits anyone who enjoys the Monty Hall problem and its relatives, students revising probability, and puzzle fans who like a single good question a day rather than a game to grind.

How to play Think in Odds

  1. Open thinkinodds.com to see the day's numbered puzzle, its topic, difficulty and expected time.
  2. Read the question, then open Read the assumptions to see exactly what is being asked.
  3. Work out the probability, using the optional Work it out box to write down your reasoning.
  4. Type your answer as a number or fraction and press Check answer.
  5. Use Give me a hint if you are stuck, or Reveal solution to read the illustrated explanation.

Tips

  • Always read the assumptions: many classic puzzles, like the two-children questions, change answer with one small condition.
  • For at least one questions, work out the chance of none and subtract it from 1.
  • For expected value puzzles, write the answer in terms of itself after the first step and solve the equation.
  • With conditional and Bayesian questions, list every equally likely case first, then keep only the ones that fit what you were told.
  • Fractions are accepted, so keep exact values rather than rounding.

Questions

When does a new Think in Odds puzzle appear?

At 8 p.m. US Eastern Time each day. The puzzle carries that day's Eastern date.

Is the puzzle the same for everyone?

Yes. Each numbered puzzle is published once for all players.

Can I play older puzzles?

Yes. The archive lists every released puzzle, newest first, and can be filtered by topic.

How do I enter an answer?

Type a number or a fraction into the answer box and press Check answer.

Is it free?

Yes. It is free to play and needs no account; a daily email is optional.

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