54 karma · joined September 8, 2017
The chance of landing it within any particular window of K days is a different concept (which you showed how to reason about).
Events and conversations might offer superficial exposure to new ideas or areas of interest but actual understanding requires extended, focused thought that nobody else can do for you.
The fact that 3 machines handle 20% of tweets suggests that tweets are not in fact assigned to machines in a uniformly random manner. I would guess that there is a geographic bias as to which machines handle which tweets.
Imagine we bet $1 on a coin toss. The expected value for either of us is $0. Now imagine the winner is required to pay 10% tax on his proceeds. The expected value becomes (-$1.00 + $.90)/2 = -$0.05.
I would guess that most people comfortable with both representations would feel that standard mathematical notation is lighter and conveys the "raw idea" more directly.