statdle.
THE DAILY DISTRIBUTION PUZZLE

What does the distribution look like?

No formulas. No numbers. Just your intuition.

PUZZLE No. 007
IMAGINE THIS

Two random delays.

On your way home you pass two independent traffic lights. At each light, your extra delay is equally likely to fall anywhere from no delay to the same maximum delay. Imagine your total extra waiting time.

Your distribution
More likely yx No delayLongest possible
Total delay at both lights
Draw across the graph with your mouse or finger.
6 guesses to find your shape
One new perspective, every day.Next puzzle in
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Every story has a shape.

Read the scenario and imagine observing it again and again. What would the distribution of outcomes look like?

  1. Draw the distribution. Use your mouse, finger, or pen. Higher means more likely; farther right means a larger outcome. Switch to Shape to pull a section up or down, or expand the graph for more room.
  2. Place zero. The vertical axis is zero, and it starts at the left edge: nothing negative. If some outcomes fall below zero, drag the handle at the top of the axis to where zero belongs. Some puzzles name it, like Freezing or a deadline.
  3. Follow the feedback. You have six guesses. Each one tells you how closely your shape matches.
  4. Get a little help. Reveal up to three clues about concentration, shape, and boundaries. Using all three doesn't end the game.
A win starts at 100 points. Each earlier incorrect guess costs 10; each clue costs 15. Every win earns at least 10 points. Curve height doesn't matter—its relative shape does. To win, both the shape and the position of zero must match.

Keyboard: focus the graph, use left/right to choose a point and up/down to move it. Hold Shift for larger adjustments. Tab to the axis handle and use the arrow keys to move zero. Undo and redo work with Ctrl/Cmd+Z and Ctrl/Cmd+Shift+Z. Reset clears your drawing and can be undone; guesses and clues stay used.

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MAKE IT A DAILY HABIT

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 THE LEADERBOARD

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