Hacker News new | ask | show | jobs
by AH2mdte8kPnJS 2291 days ago
Consider the likelihood of a dice that can land on both its ”1” side and its ”6” side at the same time?

Assuming that the die is fair, this is not possible in the real world.

Bayesian probability [1] states that this is not possible as expected.

``` P(land1 ^ land6) = P(land1) x P(land6 | land1) = 1/6 x 0 = 0 ```

However, fuzzy logic [1] results in an unintuitive result.

``` T(land1 ^ land6) = min(land1, land6) = min(1/6, 1/6) = 0 ```

[1] https://www.mathsisfun.com/data/bayes-theorem.html [2] http://www.sfu.ca/~jeffpell/papers/FuzzyLogic77.pdf