An easy puzzle for the long weekend
You have three baskets. One only contains apples. One only contains oranges. And the last one is an even mix of apples and oranges. The three boxes are labeled. But all labels are placed incorrectly. Your job is to fix the three labels. You can reach in any basket, take one fruit out, examine it, and put it back. There is no other way to examine or look at the baskets. You want to minimize the number of fruits that you take out to examine. What do you do?
The answer posted for Puzzle #3 is correct. But that's based on algebra and that's not fun. I like this proof more as it's philosophical. Two real numbers are different if and only if there exists another real number between them. There is nothing between .99999... and 1. QED.