You are given 100 cups of water, each labeled from 1 to 100. Unfortunately, one of those

cups is actually really salty water! You will be given cups to drink in the order they are labeled. Afterwards, the cup is discarded and the process repeats. Once you drink the really salty water, this "game" stops.

i. What is the probability that the ith cup you are given has really salty water? Either show the work to calculate your probability or explain why that is the case?

ii. Suppose you are to be given 47 cups. On average, will you end up drinking the really salty water? (Hint: Define X to be the number of cups of water you drink, including the really salty water that ends the "game".)