Waterhouse does not stop to estimate the probability that he, who needs a place to live, should happen along at the exact moment that a room has become available. Cryptanalysts wait for lucky breaks, then exploit them. After the departing soldier has disappeared round the corner, he knocks on the door and introduces himself to the lady. Mrs. McTeague says (to the extent Waterhouse can penetrate her accent) that she likes his looks. She sounds distinctly astonished. It seems clear that the improbability of Waterhouse’s having happened upon this vacant room is nothing compared to the improbability of having his looks liked by Mrs. McTeague. Thus, Lawrence Pritchard Waterhouse joins a small elite group of young men (four in all) whose looks Mrs. McTeague likes. They sleep, two to a room, in the bedrooms where Mrs. McTeague’s offspring grew from the brightest and most beautiful children ever born into the finest adults who walk the earth except for the King of England, the General, and Lord Mountbatten.