A channel matrix is a declared exact map from input counts to output counts. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A rational row maps zero counts

The zero row keeps 4/5 and flips 1/5. From 100 zero shots, that gives 80 output zero shots.

10045=80100\cdot\frac{4}{5}=80
Channel row productThe channel check recomputes the output count.1zero0one4/5zero1/5onechannel map

The same row also creates output one counts

The flipped share is 1/5 of 100, which creates 20 output one shots.

10015=20100\cdot\frac{1}{5}=20
Checked channel outputThe output bars must match the matrix product.1zero0one4/5zero1/5onechannel map