Survival Fraction Three-Row Scan - Quantum Measurement and Coherence Windows Step by Step

Scan survival as a retained-count ledger rather than a vague lifetime phrase. The three toy rows keep 80 of 100, 84 of 120, and 52 of 80 prepared shots, giving survival fractions 4/5, 7/10, and 13/20; real survival estimates need preparation checks, timing control, background subtraction, detector efficiency, and uncertainty.

Finite lifetime budgets become clearer when retained and lost counts are scanned. 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 first row keeps four fifths

Prepared shots 100 split into retained 80 and lost 20. The retained fraction is 4/5.

80+20=100,\quad f_{\text{survive}}=\frac{4}{5}

The second row keeps seven tenths

The next budget keeps 84 of 120 prepared shots and loses 36. The exact fraction is 7/10.

84+36=120,\quad f_{\text{survive}}=\frac{7}{10}

The third row makes the loss larger

The third budget retains 52 and loses 28 out of 80 prepared shots. The scan ends at 13/20 survival.

52+28=80,\quad f_{\text{survive}}=\frac{13}{20}