Finite Lifetime Budgets

Prepared Shots Can Be Lost

retained plus lost close

A finite lifetime model starts as a count budget, not a decay curve. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Prepared shots split into two counted groups

Start with 80 prepared shots. The finite budget keeps 60 and loses 20.

Nprepared=80,Nretained=60,Nlost=20N_{\text{prepared}}=80,\quad N_{\text{retained}}=60,\quad N_{\text{lost}}=20
Finite survival budgetRetained and lost bars close the count budget.3/4retained1/4lostsurvival budget

The split must close before interpretation

The check requires retained plus lost to equal the prepared count: 60 plus 20 equals 80.

60+20=8060+20=80
Budget closureThe helper recomputes the sum.3/4retained1/4lostsurvival budget