Imagine that a coffee shop sells three types of coffee: espressos for $2 each, cappuccinos for $3, and lattes for $5. In one day, the coffee shop sells 100 of each drink. What is the average cost per drink? This depends a bit on what the phrase "average cost per drink" means.

Compute two possible meanings:

(1) Pick a drink at random; what was its cost? (i.e. "uniformly averaging over drinks")

(2) Pick a dollar at random; how much did the drink it was spent on cost on average? (i.e. "uniformly averaging over dollars")