It's just that I don't see the pattern: a) A special act of Congress has made the year only one day long. How many employees would you hire? It doesn't matter

It's just that I don't see the pattern: a) A special act of Congress has made the year only one day long. How many employees would you hire? It doesn't matter, because the people you hire will have their birthday on this day. b) Congress extends the year by one day. Think quick: hire, fire, or no action? Hiring one person gives you 1 workday. Hiring two people gives you 2 workdays with probability 1/2 and 0 workdays with probability 1/2, so the expected value is 1 workday. Hiring 3 people gives you 3 workdays with probability 1/4 and 0 workdays with probability 3/4. So that gives you expected 3/4 workdays. c) Congress extends the year by one day. Think quick: hire, fire, or no action? 1 person: 2 workdays 2 people: 1/3*4 + 2/3*2 = 8/3 3 people: 1/9*6 + 6/9*3 = 8/3 4 people: 1/27*... = ... d) Congress extends the year by one day. Think quick: hire, fire, or no action? That is getting complicated. Obviously I'm missing something here. Can you reveal the insight?