whatifbench Models you can move

Interactive tools

Move the number and see what happens.

A worked example gives you one setting and one answer. Here you get the slider.

On every tool page

  1. Move the slider
  2. Read the model
  3. See what it does not count

Newest, published 2026-10-03

Energy · Published 2026-10-03

Shower vs Bath

Water and heating energy on two panels sharing one time axis, each with its own crossing minute marked.

8.4 min the minute the model has a 9.5 L/min shower pass an 80 L bath

Earlier

Scale

Wi-Fi Through Walls

Path loss by band and wall material. With the same power and antenna gain the model puts 5 GHz below 2.4 GHz with no walls at all, and the wall decides which way the gap moves from there.

7.07 dB the model’s 5 GHz shortfall with no walls, at equal power and antenna gain

Scale

Talking Across the Solar System

One-way and round-trip light delay as the planets move.

4.82× the model’s swing in one-way delay to Mars, closest against farthest

Scale

Folding Paper to the Moon

Doubling thickness, on a linear axis and a log axis. The same numbers, two different stories.

42 folds until the model's stack passes the Moon, at 0.1 mm paper

Chance

One Line or Many?

A single queue against one queue per counter, on average wait and on a bad visit (the 95th percentile).

5.4× the model's cut in mean wait from one line, at four counters 80% busy

Chance

Simpson's Paradox Mixer

Two groups where one option leads in each group, and trails once the model pools them.

19.4 pp the model's pooled gap in the Berkeley preset, against a lead in both departments

Chance

Monty Hall with N doors

Move the door count and the number of doors the host opens. The model puts switching ahead of staying by the doors you did not pick, divided by the doors you could still swap to — two to one at three doors. Opening more doors raises that edge; adding doors without opening more lowers it.

0.667 the model's switch win rate at three doors