All Tasks

Exponential Decay with Dice

Roll the dice below and delete all the 6's. Click and drag to select all dice and then click "Randomize" at the bottom of the canvas to roll the dice.

Hold down the shift key to select multiple 6's at once.

Some questions to think about:

  • How many dice do you think will be left after 3 iterations of this process?
  • How many iterations of this process do you think it will take to have 50 dice left?
  • How many iterations of this process do you think it will take to have 25 dice left?
  • How many iterations of this process do you think it will take to have no dice left?
  • Can you write an equation to model this situation?

Further Reading

Carbon Dating - Exponential Functions - Mathigon
Reading time: ~30 min Reveal all steps A group of archaeologists has discovered a new tomb in the Egyptian desert. They carefully open the hidden entrance, climb through several rooms filled with ancient treasures, until they arrive in the burial chamber. The sarcophagus is still sealed and contains the mummy of a Pharaoh.
https://mathigon.org/course/exponentials/carbon-dating