Three source-shot totals show that channel fractions scale exact count ledgers. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Fifty source shots make forty zero and ten flipped one
With flip fraction 1/5, a source ledger of 50 zero shots maps to 40 zero and 10 one shots.
50⋅51=10
One hundred source shots make the original audit row
The same channel maps 100 source shots to 80 zero and 20 one shots.
100⋅51=20
One hundred fifty source shots keep the same fraction
Raising only the source count to 150 gives 120 zero and 30 one output shots.