With binary every number has the same expected value, so no number is any more rare than another.Res Ipsa wrote: ↑Mon May 02, 2022 11:41 pmThere are Games where the correct order is required. Mastermind is the most well known example. But I’m not trying to design a game. If what is “rare” is considered significant, the degree of rareness of a given event appears to depend on how I choose to describe it. How do I know which description I should choose?High Spy wrote: ↑Mon May 02, 2022 10:39 pm
Think of a typical card game, you are free to rearrange your poker hand. It would be very difficult to keep the players honest if the order that they received the cards mattered. I can’t off the top of my head think of a game where the order of the deal is enforced. Can anyone think of an example
With the binary scoring method 5 tails would score the lowest. Generally what is rare is considered significant, so the binary scoring method runs counter to popular intuition.
In Scrabble you are allowed to rearrange your tiles to spell words, with significant letters assigned a high point value. There is still some luck of the draw, but the most skilled players often win. What is in fact the most significant Word from a heavenly perspective
Using the binary method, as you describe it, why is TTTTT more rare than HHHHH?
Rareness is only one factor of many. Patterns formed is another. The rules govern.