As a result of temporary magical powers, you have made it to the Wimbledon finals and are playing Roger Federer for all the marbles. However, your powers cannot last the whole match. What score do you want it to be when they disappear, to maximize your chances of hanging on for a win?
It sounds obvious that you should ask to be ahead two sets to love (it takes 3 out of 5 sets to win
the men’s), and in the third set, ahead 5-0 in games and 40-love in the sixth game. (Probably you
want to be serving, but if your serve is like mine, you might prefer Roger to be serving the sixth
game down 0-40 so that you can pray for a double fault.)
Not so fast! These solutions give you essentially 3 chances to get lucky and win, but you can
get six chances—with three services by you and three by Roger. You still want to be up two sets
to none, but let the game score be 6-6 in the third set and 6-0—in your favor, of course—in the
tiebreaker.
There was a neighborhood of one-story houses.
One was red and everything in the house was red.
Another was purple and everything in the house was purple.
Yet another was yellow and everything in the house was yellow.
Still another was blue and everything in the house was blue.
In the green house everything was green,
and in the gray house everything was grey.
When the day before yesterday was referred to as the day after tomorrow, the day that was then called yesterday was as far away from the day we now call tomorrow as yesterday is from the day which we shall now be able to speak of last Monday as a week ago yesterday. What day is it?