2. There is this recruiting problem where you have to decide which secretary to hire before having seen all of them. The optimal solution is to see the first 37% (1/e) and then hire the first that is better than the previously seen best.
Putting that into lifespan of ~75 ys and assuming we don't really start sampling until we are 15, we end up with an optimal stopping (= exploitation) age of 32.07.
Surprisingly close to the 30 mentioned.