The final readout budget ties calibration rows, true probabilities, and expected counts together. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The matrix rows came from calibration counts

Calibration rows 9/10, 1/10 and 1/5, 4/5 are reused in the prediction.

A=[9101101545]A=\begin{bmatrix}\frac{9}{10}&\frac{1}{10}\\\frac{1}{5}&\frac{4}{5}\end{bmatrix}
Calibration reusedThe same checked rows drive the prediction.true probabilitieszero 3/4one 1/4assignmentobserved probszero 29/40one 11/40over 40 shots29 zero reads11 one reads

The displayed budget is closed

Observed probabilities 29/40 and 11/40 add to 1 and match 40 expected shots.

2940+1140=1\frac{29}{40}+\frac{11}{40}=1
Closed readout budgetThe visible probabilities and counts are exact.true probabilitieszero 3/4one 1/4assignmentobserved probszero 29/40one 11/40over 40 shots29 zero reads11 one reads