The Questions That Reach One Answer
Only queries that set every filter reach a single cell, and there are as many of those as there are cells. The share is one over the other.
Reference
Reaching one
Reaching a single answer
Most questions a board allows do not pin anything down.
64/729 to 6/7
8 notes in this part
Sixty-Four In Two Hundred And Twenty-Five
The median schema reaches a single listing with about twenty-eight per cent of its questions. Three schemas sit exactly there.
Reference
Six Sevenths, And Under A Tenth
On a board with one filter of six choices, six questions in seven reach a single kind of listing. On a board with six filters of two, fewer than one in ten do.
Reference
One Fraction Per Filter
The share of pinning questions is the product of size over size-plus-one. Each filter contributes a fraction, and the fractions multiply.
Reference
What Each Filter Costs The Reader
Adding a filter raises resolution and lowers the share of questions that reach one listing. The two effects pull opposite ways and the rate is exact.
Analysis
The Board With One Filter
Five schemas carry a single facet. They hold the highest share of pinning questions, the fewest result sizes, and collide with nothing.
Analysis
What The Share Is Not
A proportion of the questions a board permits, not of the searches anybody performs. Four things the figure is regularly mistaken for.
Analysis
The Questions That Return Groups
Most of what a board permits leaves some filter alone. That is where nearly all searching happens, in a few fixed result sizes.
Analysis