Fan Jin's reaction to passing the Imperial Examination in ancient China can be attributed to the profound cultural significance and societal expectations attached to this achievement. The Imperial Examination was the primary means of selecting government officials in China for over a millennium, and passing it was a monumental event that could drastically alter one's life trajectory.

The examination system was designed to select candidates based on their knowledge of Confucian classics, and it was a symbol of meritocracy. For individuals like Fan Jin, who had spent years studying and preparing for this exam, passing it represented not only personal achievement but also the fulfillment of familial and societal expectations. The pressure to excel in the exam was immense, as it was seen as a gateway to a prestigious and well-compensated career in the government.

Data from historical records indicate that the passing rate for the Imperial Examination was extremely low, often less than 1%. This rarity of success made the achievement even more extraordinary. The rigorous nature of the exam, which included multiple levels of testing over several years, meant that those who passed were not only intellectually superior but also possessed the perseverance and dedication required to endure the grueling process.

The cultural significance of passing the exam was further underscored by the fact that it was a public event. Candidates were required to travel to the capital city, where their performance was closely watched by the entire community. The celebration that followed a successful exam was not just a personal victory but also a communal achievement, as it reflected well on the candidate's family and hometown.

In conclusion, Fan Jin's reaction to passing the Imperial Examination can be understood as a result of the immense cultural weight and societal expectations associated with this achievement. The exam was not just a test of knowledge but a rite of passage that could bring honor and prosperity to the individual and their family.