Step 1: The key principle here is that the chance of a malignancy in a given breast region is proportional to how much breast parenchyma sits in that region.
Step 2: Working through the four choices by their accepted percentages: the upper outer quadrant dominates at roughly one half of all cancers, the central areolar zone accounts for about one fifth, the upper inner quadrant sits in the low teens, and the lower outer quadrant is in the high single digits.
Step 3: That leaves the lower inner quadrant, which carries the least glandular bulk and therefore records the smallest figure, around 3 to 5 percent.
Step 4: Because the question asks for the site where carcinoma is least seen, the answer is the lower inner quadrant.
\[\boxed{\text{Lower inner quadrant}}\]