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Nearing Completion of Evaluation of RS system (not)

snidely333
snidely333
Oct 31, 2011
12:33am
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Quote
Originally posted by: mrmarcus12LVA
HOW MANY CATTLE WERE IN THE CORRAL??????


I'm assuming a large N of cattle with equal distribution of males and females.

Posit half of all the cattle are female and half are male.
Posit the cattle are corraled and then moved into pens, by twos.
mrmarcus12LVA
mrmarcus12LVA
Oct 31, 2011
12:42am
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Quote
Originally posted by: snidely333 Posit half of all the cattle are female and half are male.
Posit the cattle are corraled and then moved into pens, by twos.
Now posit all of the cattle are branded and released from the pens, except the last two. Sexes are not recorded. The cowboy notices one of the two remaining is female. What is the chance the other is female?

EXTRA BONUS: Why did your answer change when the pens were used?
snidely333
snidely333
Oct 31, 2011
12:51am
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Quote
Originally posted by: mrmarcus12LVA
Quote
Originally posted by: snidely333 Posit half of all the cattle are female and half are male.
Posit the cattle are corraled and then moved into pens, by twos.
Now posit all of the cattle are branded and released from the pens, except the last two. Sexes are not recorded. The cowboy notices one of the two remaining is female. What is the chance the other is female?

EXTRA BONUS: Why did your answer change when the pens were used?


33.3%
snidely333
snidely333
Oct 31, 2011
12:53am
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Quote
Originally posted by: marlo36
I think I solved the Who Keeps Sheep puzzle in its entirety. Please feel free to correct me if I am wrong:

House #1-Brit, Tudor house, Guinness, long bow, horse
House #2-Viking, mud house, mead, mace, pig
House #3-Dane, grass hut, water, long sword, cow
House #4-Goth, cloth tent, ale, battle axe, sheep
House #5-Norman, brick house, wine, rapier, tiger

It took me about 45 minutes to get all this, so I sure hope I'm right.


Same answer I got. I got thrown off thinking the Archer was a race. Things got easier once I realized the archer used the long bow.

mrmarcus12LVA
mrmarcus12LVA
Oct 31, 2011
12:58am
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Quote
Originally posted by: snidely333 33.3%

A lie, repeated often enough, becomes the truth. Joseph Goebbels
snidely333
snidely333
Oct 31, 2011
1:12am
Block User
Probability of the sexes in the last pen: mm, ff, mf, fm all are 25%. Now, one is female. So that leaves us with the possible choices of ff, mf, fm. Of those 3 choices, 1 has ff. 1/3 = 33.3%.

Edited to add: QED
FrankKneeland
FrankKneeland
Oct 31, 2011
2:29am
Block User
Quote
Originally posted by: snidely333
Quote
Originally posted by: marlo36
I think I solved the Who Keeps Sheep puzzle in its entirety. Please feel free to correct me if I am wrong:

House #1-Brit, Tudor house, Guinness, long bow, horse
House #2-Viking, mud house, mead, mace, pig
House #3-Dane, grass hut, water, long sword, cow
House #4-Goth, cloth tent, ale, battle axe, sheep
House #5-Norman, brick house, wine, rapier, tiger

It took me about 45 minutes to get all this, so I sure hope I'm right.


Same answer I got. I got thrown off thinking the Archer was a race. Things got easier once I realized the archer used the long bow.


Really nice. Good old Albert E. created a similar puzzle entitled "Who owns the fish?" Albert claimed only 1% of the population thinks in such a way that they can solve it. This puzzle was of my making and nowhere on-line. You solved it in good time to.
snidely333
snidely333
Oct 31, 2011
2:44am
Block User
Quote
Originally posted by: FrankKneeland
Quote
Originally posted by: snidely333
Quote
Originally posted by: marlo36
I think I solved the Who Keeps Sheep puzzle in its entirety. Please feel free to correct me if I am wrong:

House #1-Brit, Tudor house, Guinness, long bow, horse
House #2-Viking, mud house, mead, mace, pig
House #3-Dane, grass hut, water, long sword, cow
House #4-Goth, cloth tent, ale, battle axe, sheep
House #5-Norman, brick house, wine, rapier, tiger

It took me about 45 minutes to get all this, so I sure hope I'm right.


Same answer I got. I got thrown off thinking the Archer was a race. Things got easier once I realized the archer used the long bow.


Really nice. Good old Albert E. created a similar puzzle entitled "Who owns the fish?" Albert claimed only 1% of the population thinks in such a way that they can solve it. This puzzle was of my making and nowhere on-line. You solved it in good time to.


You study this stuff but seems to me that anyone good at solving Sudoku puzzles could easily solve this sheep puzzle.
FrankKneeland
FrankKneeland
Oct 31, 2011
2:57am
Block User
Two things:

1. On the cattle question--Since you start with a finite number of cattle and subtract one by putting it in a pen one cannot use exactly the same logic one used to solve the Two Girls question which involved a percentage chance of them being male of female prior to birth. In the Two Girls question the percentage of girls is representational of an infinite number. In the "Cattle in a Pen" question the percentage of female cattle is representational of a finite number of female cattle, and once you remove one the 50/50 distribution changes. I do not believe it can be solved precisely without knowing exactly how many cattle you are starting with.

2. Except for the "Who Keeps Sheep" which I made myself, the other questions were right out of a best selling book by a PHD in physics that co-authored A Briefer History of Time, and The Grand Design with Stephen Hawking. Am I to understand that his answers are seriously in question? Or is this one of those on-line forum things where people just say stuff to be arbitrary?

I expected people to argue over the answers up until the point I posted the published solution. I did not expect people to try to refute the published solution, especially considering who the writer was.

Does anyone else find this passing strange?
snidely333
snidely333
Oct 31, 2011
3:07am
Block User
Quote
Originally posted by: FrankKneeland
Two things:

1. On the cattle question--Since you start with a finite number of cattle and subtract one by putting it in a pen one cannot use exactly the same logic one used to solve the Two Girls question which involved a percentage chance of them being male of female prior to birth. In the Two Girls question the percentage of girls is representational of an infinite number. In the "Cattle in a Pen" question the percentage of female cattle is representational of a finite number of female cattle, and once you remove one the 50/50 distribution changes. I do not believe it can be solved precisely without knowing exactly how many cattle you are starting with.

2. Except for the "Who Keeps Sheep" which I made myself, the other questions were right out of a best selling book by a PHD in physics that co-authored A Briefer History of Time, and The Grand Design with Stephen Hawking. Am I to understand that his answers are seriously in question? Or is this one of those on-line forum things where people just say stuff to be arbitrary?

I expected people to argue over the answers up until the point I posted the published solution. I did not expect people to try to refute the published solution, especially considering who the writer was.

Does anyone else find this passing strange?


It's not strange at all. Some people just can't accept that they are wrong. It's makes it more interesting around here having people offering opinions about simple math problems.
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