Little math problems October 2019

[jpcuzzourt]

(10-06-2019 08:11 PM)pier4r Wrote:  In the video they have "original" dice. I posed the question inspired from the video. I didn't work it out yet but somewhen I'll try to work if I can map a 6 sided dice to the 4 coin probabilities in a easy way (maybe with a piece of paper with some guidelines). This because if you roll more than one dice at once and you want to minimize the mapping, then you need to deal with different probabilities. Of course the immediate solutions you gave are perfectly viable as well.

The probabilities of 0,1,2,3,4 are 1/16, 1/4, 3/8, 1/4, 1/16 respectively.
I haven't devised a mapping that is easy to explain and more practical than what I suggested earlier. Throwing 4 dice and counting the number of [EVEN] rolls as your move, e.g. is straightforward and practical.
I'll consider it a little more and post if I devise a simple way of producing those probabilities using less dice that doesn't require players to do base 6 arithmetic (which is impractical with most of my friends and family.)
I do look forward to seeing if you or others come up with some clever ways of reproducing those odds simply with fewer throws or simpler rules.