Monty Hall three-door game — 3D-printable model preview
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Tabletop gaming & play Multi-part assembly

Monty Hall three-door game

Play the famous probability puzzle with three lidded boxes, one prize and two duds

You pick one of three doors. The host, who knows where the prize is, opens another door to show a goat, and asks: do you want to switch? Most people say it makes no difference. It does: switching wins two times out of three. Even mathematicians argued about it when it was published in 1990. Hide a prize in one of these three numbered boxes and test it at the table: play twenty rounds each way and the tally does not lie.

Size (Base A)
70 × 70 × 50 mm
Shape
Rectangular
Walls
2.4 mm
Volume
164 cm³
Est. weight (PLA)
204 g
Parts to print
4
Made by
Krypto
Built in
40 steps

What’s in it

  • Rectangular, 70 × 70 × 50 mm, with 2.4 mm walls
  • Raised text: “2”, “3”, “1”
  • Lift-off lid (prints separately)
  • 2 more bases built on (Bases B–C)
  • Base B: rectangular, 70 × 70 mm, 50 mm tall (beside)
  • Base C: rectangular, 70 × 70 mm, 50 mm tall (beside)

How to print it

Hide a sweet (the car) in one box and nothing (the goats) in the other two. Play 20 rounds sticking and 20 switching, and keep score.

Prints as shown on its floor, no supports. The lid prints as a separate part, top down. The added bases' lids print separately.

Filament: at most about 204 g of PLA printed solid (roughly $4.08 at $20 per kg); normal infill uses less.

To get the files, open it in the generator and choose File › Download STL (one file per part) or Download 3MF (every part on one plate).

Questions

What size is the monty Hall three-door game model?

The monty Hall three-door game model measures 70 × 70 × 50 mm (width × depth × height). That is Base A; 2 more bases are built on. You can change every size in the free SO3D.xyz generator before you download it.

Does it need supports?

No. Hide a sweet (the car) in one box and nothing (the goats) in the other two. Play 20 rounds sticking and 20 switching, and keep score. Prints as shown on its floor, no supports. The lid prints as a separate part, top down. The added bases' lids print separately.

How much filament does it use?

At most about 204 g of PLA (164 cm³ printed solid), roughly $4.08 of filament at $20 per kg. Normal infill uses less.

How many parts does it print as?

4 parts. The download lays each part flat in its best print position: Download STL gives one file per part, Download 3MF puts them all on one plate.

Can I change it?

Yes. Open it in the SO3D.xyz generator (free, in your browser), change the size, walls, dividers, holes, text or anything else, then download it as STL or 3MF for your slicer.

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Change the size, walls, dividers, holes and labels of the monty Hall three-door game model in your browser, then download it for your printer. Free, no CAD needed.

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