Normalization checks whether the displayed amplitude pair closes a full probability budget. The first row squares amplitudes 3/5 and 4/5 into probability bars that add to one, and later rows repeat the same rule or swap the bars. Real wavefunction probabilities come from preparation, basis choice, detector calibration, repeated shots, and uncertainty, so this scan is an exact probability-ledger check.
Normalization becomes easier to see when several exact rows square into closed budgets. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
One normalized pair is a full probability budget
The first row uses amplitudes 3/5 and 4/5. The diagram squares them into two probability bars that close at one.
259+2516=1
Three rows show which number changes
The scan repeats the same rule with two more exact pairs. Each row changes amplitudes, then checks the squared probabilities and the total.