Here's a way to determine which switch controls which bulb if you only have one opportunity to enter the room with the light bulbs:
First, turn on the first switch and wait for about 5-10 minutes. After waiting, turn off the first switch and then turn on the second switch. Leave the third switch in the off position. Now, go into the room with the light bulbs. Here's what you can conclude:
The bulb that is on is controlled by the second switch (because you left that one in the 'on' position). The bulb that is off and still cool to the touch is controlled by the third switch (because you never turned that switch on). The bulb that is off but warm to the touch is controlled by the first switch (because it was on long enough for the bulb to heat up, but then you turned it off). This way, you can determine which switch controls each bulb with just one trip into the room with the bulbs.
Try Assume there are 100 people with 100 numbered hats on them. You are one of them and can see your hat. How can you figure out which number is on your hat?
Reply: If you can see the number on your own hat but not the numbers on the other people's hats, there is no way to determine the exact number on your hat with certainty.........
Was that intentional?
"If you have one bucket that holds 2 gallons and another bucket that holds 5 gallons, how many buckets do you have?"
"Two?"
ChatGPT passes it though.
I think it thought this was a trick question.
Your are on the top floor of a building. In the room are three switches, all are off. It is given that one of the switches controls the light in the basement; however, there is no way to determine from the top floor which switch is driving the light. Is it possible just by toggling the switches as you see fit to then travel down to the basement and observe without a doubt which switch controls the light?
Yes, it is, and without any form of tricky answer (ie rewiring the switch boxes, I look down the stairs, etc).
Assume you are in a room with three switches and three light bulbs. How will you figure out which switch controls which light bulb?
It gives you the answer to the "popular" puzzle, not the simple answer of flipping a switch and see which light bulb turns on.