CalcoTools Games

Estimation Duel

Guess a number, then see the bot's guess. Whoever lands closer to the true answer takes the round. Seven rounds, three bot levels.

How to play

  1. Each round asks a how-big, how-far or how-many question with a numerical answer. Type your estimate and lock it in.
  2. The bot then reveals its own estimate, and the true answer. Whoever is closer wins the round, and an exact tie scores nothing.
  3. Closeness is measured on a log scale, so being twice as big counts the same as being half as big.
  4. Play seven rounds and win the duel by taking more of them. Pick an easy, medium or hard bot before you start.

Tips and strategy

  • Think in orders of magnitude first: is it thousands, millions or billions? Then refine.
  • Anchor on something you know, such as the height of a person or the length of a bus, and scale up.
  • The hard bot is rarely more than about a third off, so you need to stay within roughly a factor of 1.5 to win.
  • Do not agonise over exact digits. A guess within a factor of two is a good one.

FAQ

How does the bot guess?
It takes the true answer and misses by a random amount. The easy bot misses by a lot, the hard bot by a little. It is not looking at your guess.
Can I type numbers like 6e24?
Yes. Commas and spaces are ignored, and scientific notation such as 1.5e3 works too.
Are the questions always the same?
No. Each duel draws seven questions at random from a bank of over fifty.