(An old story recalled by a Chinese man who recently emigrated to the United States)
Once upon a time there were three young men who planned to go to the national capital to take an examination that would enable them to become officials. At that time - in old China - it was a method intellectuals used in order to live a good life and bring honor to their families. There had always been a beauty in having books, but it had been discovered that there was also gold in them when used for self improvement.
To qualify, a man had to pass a county test and be named "xiu cai". Then a second test had to be passed in the province to get the title jin shi. If successful in passing the national exam, a man could become a low level official - perhaps a county leader.
The three men heard there was a famous fortune-teller whose predictions always came true so they went to see him. They wanted to know what their futures would be.
When asked, the fortune-teller raised just one finger and said, "God knows". That confused the men, but they decided to take the examination anyway.
Several months later, one of the three returned to thank the fortune-teller. He had passed the examination and would soon be an official. He asked the man, "How did you know I would pass? And the seer said, "I didn't know".
"Well then, why did you hold up one finger when there were 3 of us?"
The man answered, "If there are less than five people asking me that question, the reply would always be the same. If there is one person, I know ONE will pass or ONE will fail. If there are two, one finger shows that ONE will pass and ONE will fail or no ONE will fail. If three people ask the question, the answer is the same. If there are four, ONE finger shows ONE thing more: ONE half will pass and ONE half will fail. If there are five people, it can be concluded that ONE will pass, ONE will fail; no ONE will pass; no ONE will fail; or ONE more will pass than will fail; or ONE more will fail than will pass.