by Englishman 89 Replies latest jw friends
: Explanation. The least that you could do is open the box with the B & W socks in.
You are right, but you still need to explain to everyone else how you can properly label each box with only seeing one sock.
Here's a fun one:
A hill is 10 miles high. A car drives up the hill at 10 miles per hour and down the hill at 20 miles per hour. Assuming the car instantly turned around at the top, what is the car's average speed for the trip? Explain your answer.
Farkel
Drrinks are on Englishman!
Ow, ok- make mine a large scotch!
Ow, ok- make mine a large scotch!
funny.. I've just poured myself a large Jack Daniels with ice.
Umm.
Englishman.
the whole trip takes an hour and a half. the whole trip is 20 miles long. so 20 miles divided by 1.5 is the average speed. 13.33mph. i think.
nilfun,
Correct. Most people don't catch the time element in an average rate of speed.
Now, how about my logic question? Or do you want a REALLY hard one?
Farkel
Be kind. I was a home-schooled JW. Why can't you stroke my ego like Spanner?
What is the least number of SOCKS you much see
Three, except for one combination.
If you pick the box with the mismatched ones in it and look at both of them, you only need to see one more sock to know where the matched set of that color is, and therefore where the matched set of the other color is.
If you pick a box with a matched set and look at both socks, then look at a sock from another box and it is the same color, you know the second box is the mismatched set and therefore where the other matched set is.
Only if you pick a matched set and look at both socks, and then look at another sock which is of the other color, do you need to see a fourth sock to determine if it is the matched or mismatched set.
You guys haven't done this one yet:
eight a minute
Edited to add: ah... I forgot, the boxes are incorrectly labeled! Forget what I said above. Must rethink.
Edited by - COMF on 14 October 2002 0:45:3
All right, here it is:
Case: sock is white, box says mixed:
Box is mislabeled, so it's not mixed, it's the matched white.
Box mislabeled "matched white" is matched black.
Box mislabeled "matched black" is matched white.
Case: sock is white, box says matched white:
Box is mislabeled, so it's not matched, it's the mixed set.
Box mislabeled "matched black" is matched white.
Box mislabeled "mixed set" is matched black.
Ditto above for finding a black sock.
Hmm, hmm, hmm... however, can't get it to work in the following case:
Case: sock is white, box says matched black:
It's either the mix or the matched white.
If it's the mix, then
the box that says "matched white" has the matched black and
the box that says "mix" has the matched white.
If it's the matched white, then
the box that says "matched white" has the mix and
the box that says "mix" has the matched black.
Edited by - COMF on 14 October 2002 0:59:24
Hey COMF,
: Three, except for one combination.
: If you pick the box with the mismatched ones in it and look at both of them, you only need to see one more sock to know where the matched set of that color is, and therefore where the matched set of the other color is.
Actually the answer is "one" under all conditions. Remember, all the boxes are mislabled. You take one sock out of the one which is labeled "black & white." That's the key. Whatever color it is, you know there are two of that color in that box. Say you pick a black sock from that box. You now know the box marked "mixed" has two black socks. Therefore the box marked "white" cannot have those two black socks and it cannot have two white socks because it is mislabed. The box marked "white" must have the mixed socks and the box marked "black" must have to the two white socks.
Farkel
