The visible phase signal is the ideal count times the coherent fraction. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Three fourths coherence scales the visible count
The ideal visible count is 40. Multiplying by 3/4 gives 30.
Nvisible=40⋅43=30
One half coherence gives a smaller visible count
With coherent fraction 1/2, the same ideal count 40 gives 20 visible counts.