I learned on Friday that the BIPM, the international organization in charge of The Metric System™, recently approved four new prefixes: quetta (Q) for 10^30, ronna (R) for 10^27, ronto (r) for 10^-27, and quecto (q) for 10^-30.
Cue jokes about inflation leading to rontoburgers…
That’s the same explanation everyone gives - nothing new. And in fact I think it is wrong. Think of it this way. The explanation still has people questioning it because it would still be a 1/2 chance you picked according to their logic. If they show a goat behind door C then flip a coin and it is a 50/50 shot between doors A and B.
The best explanation I’ve seen was the idea that the host has two choices as to the door they can pick to open. It basically boils down to this:
You choose door B. IF the car is behind door A the host chooses door C. IF the car is behind Door C the host chooses door A. The difference is that the host’s choice is not random if the car is behind a door you did not choose. So the idea is that there is one possibility the car is behind the door you choose and two possibilities the car is behind the door you didn’t choose. The opening of the goat-door is a red herring. Because of the host’s knowledge the second choice is really between the door you did choose and a door you didn’t choose which has odds of 1:2
I would consider the goat a decent prize. I have a car but I don’t have a goat.
I may be biased here, a friend of mine farms free range pigs nearby, and he has a very tame goat and her kid, plus two sheep, who are all basically pets. Protected by a lovely Anatolian Shepherd Dog. They follow the farmer around as he tends to the pigs.
On the original Let’s Make a Deal show, did the people who won a goat actually get to take it home? I imagine most people would say no thanks if they were offered the option, but a few might have happy to get a free goat. The show probably would have gotten in trouble if they told someone on-air that they won a goat but refused to give it to them if they wanted it.
And, yeah, I find the 100 doors variant the easiest way to understand the solution.
December 6, 1957: the US attempts to launch its first artificial satellite from Cape Canaveral, in response to the Soviet launch of “Sputnik” a couple of months earlier. The rocket lifted a couple of feet off the ground; then toppled over and exploded.
Meanwhile - the satellite survived and kept sending out its beeping signals.
Newspapers called it “Kaputnik” or “Sputternik”. It would be March, 1958 before a successful launch.