Step 1: Treat this as a simple Mendelian cross. Cystic fibrosis needs two defective CFTR copies, so disease genotype is homozygous recessive (aa), while a single defective copy (Aa) is a silent carrier.
Step 2: Set up the parents. Affected parent = aa, contributing only an a gamete. Carrier parent = Aa, contributing A or a in a 1:1 ratio.
Step 3: Combine the gametes. Half the children get a + A = Aa (carrier, healthy) and half get a + a = aa (cystic fibrosis). That is a 50:50 split.
Step 4: So one in two children, or 50 percent, will be affected when one parent has the disease and the other is a carrier.
\[\boxed{50\%}\]