← All parts of this equation

Equation 13 · Part 3 · The Benchmarks That Don't Need the Image

Symbol N

Pchance=(1k)NP_{\mathrm{chance}} = \left(\frac{1}{k}\right)^{N}
NN

What this part means

N is an input to the expression that computes the quantity on the left.

Its job in the formula

N is an input to the expression that computes the quantity on the left.

The passage around this formula

…all-or-nothing rule across permutations is so stringent, and where the intuition needs a caveat. If a model’s answer on each rotated pass were an independent uniform guess among k options, the probability of passing all N rotations by chance would be Pchance=(1k)NP_{\mathrm{chance}} = \left(\frac{1}{k}\right)^{N}. which for a four-option item run through all four rotations is (1/4)^4 , under half a percent. That is not a real prediction of model behavior — actual models are not memoryless guessers, and a model with a fixed positional bias will do…

Read this part in the article →

Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

Open the illustrated variables: a letter stands for a value guide →

See this notation across published equations →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.