This explanation is based on the common explanation of lottery in China traditional culture. In the traditional culture of China, drawing lots is considered as a way to predict the future or get guidance. Among them, "noble people" usually refer to people with status, wealth, wisdom or high morality who can guide or help draw lots.
So, what this sentence means is that after drawing lots and waiting for three or five days, you will have the opportunity to meet a noble person who will help or guide your future development. This is an auspicious prophecy, expressing the good wishes and expectations of the people who draw lots for the future.