100 pieces of paper in a box, one of which has a black dot on it. Probability Question. There are $100$ pieces of paper in a box, one of which has a black dot on it. If $100$ people go up one by one and pick a paper from the box, which one has the lowest probability of getting the black dot, and which one has the highest probability of getting the black dot?

An effort to enrich your intuition.
Give every piece of paper a colored dot. Use $100$ distinct colors (green, blue, black etc.).
Suppose that you are person $38$. 
What is the probability that you get the one with color blue (or black if you like)?
