Data & ProbabilityProbability

The Sticker Album Problem

Finding the last few stickers takes longer than the rest combined

The album is one sticker short, and every new pack is nothing but doubles. Is that bad luck, or is something else going on?

You'll find out

  • Why an album fills fast, then stalls
  • What the last five stickers cost
  • How swapping beats buying

Why it matters

Loot boxes, cereal-box prizes and “collect them all” promotions run on this math. It always saves the worst for last.

About 3 min6 interactive slides · 5 questionsLesson 79 · Zone 9

Play this lesson

Free to play in your browser or on iPhone

More in this zone

  1. 73Computer ArchitectureThe Desk and the WarehouseComputers keep a tiny super-fast memory for what you'll need next
  2. 74Reliable NetworkingThe Lost PacketMissing pieces are requested again without restarting everything
  3. 75Visual EffectsWhy Weather Presenters Never Wear GreenOne color can be replaced with an entire world
  4. 76RecursionThe Tower of HanoiMoving 64 disks would take longer than the universe has existed
  5. 77Safety EngineeringOtis Cut the RopeElevators became safe when one inventor cut his own cable in public
  6. 78Graph TheoryThe Bridges of KönigsbergA Sunday-stroll puzzle invented a whole branch of math
  7. 80Audio EngineeringThe Phantom SingerTwo speakers can put a voice where there's no speaker at all
  8. 81Internet HistoryThe Internet's First Word Was ‘LO’The first message crashed after two letters