A measurement result updates the state used for repeat measurements. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Measurement uses the probability distribution
For many identically prepared systems, the exact expected counts out of 25 are 9 zero outcomes and 16 one outcomes. This is an expectation, not a random draw simulation.
Nzero=9,None=16
After a result, the state updates
After the zero result, a repeat measurement of the updated state gives zero with probability 1.
P(zero after zero)=1
Expected counts scale with trials
The probability distribution is fixed by the state. More identically prepared trials scale both expected counts in the same ratio.