A wavefunction outcome-count scan checks that squared-amplitude normalization holds no matter how many outcomes a state has. The three rows use a two-outcome state (3/5, 4/5), a three-outcome state (2/3, 2/3, 1/3), and a four-outcome state (1/2, 1/2, 1/2, 1/2), each closing its probability budget to exactly one for the stated toy amplitude ledger; real multi-outcome systems have measurement back-action, finite-resolution detectors, and decoherence between outcomes.
Two, three, and four-outcome wavefunctions all close the same exact probability budget. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Normalization already held for two outcomes
Chapter one's two-outcome states close their probability budget with two terms. This row repeats that exact rule as the scan's baseline.
259+2516=1
The same rule holds for three and four outcomes
Normalization is not special to two-outcome systems. Adding a third or fourth exact term still closes the same probability budget at one, as long as the squared amplitudes are computed exactly and added.
outcomestwothreefourterms234sum111
Four equal terms still close the budget exactly
The four-outcome row splits the budget into four equal exact quarters. The rule that closed the two-outcome budget in chapter one closes this one too.