Nearing Completion of Evaluation of RS system (not)

P.S. I'm meeting Rob on the 10th of next month. He asked me to postpone the report, I have no reason to rush it and no deadline, so I said fine.
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Originally posted by: snidely333
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Originally posted by: FrankKneeland
New puzzle: The Two Girls

Assuming the chances are 50/50 for having a boy or a girl.

What are the chances that a mother giving birth to two babies will have
two girls (we are excluding identical twins)?

What are the chances, given that one of the children is a girl, that
both children will be girls?

What are the chances, given that one of the children is a girl named Florida, that both children will be girls?


#1: bb, gg, bg, gb all equal probability. gg = 25%

#2: if one is girl: gg, bg, gb. gg = 33.3%

#3: I'll assume all babies named Florida are girls so 33.3%.


You got #1 & #2 correct. If one of the girls is named Florida the odds change to 50%. If you think about it long enough the answer should come to you.
Not seeing how the girl's name changes #3's answer from #2's answer. Why would the name of the child matter?
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Originally posted by: snidely333
Not seeing how the girl's name changes #3's answer from #2's answer. Why would the name of the child matter?


Because it changes the sample space. All you need to figure this out was in print by the 1500's in "the Book on Games of Chance"...of course it's in Latin.

By naming one of the girls you add a derivation. Think about it!

Why would the SEX of the other child matter? NOTHING happens when someone names something, except in the mind of the person doing the naming. Likewise when someone sees someone else's crotch.
I am stumped.
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Originally posted by: FrankKneeland What are the chances, given that one of the children is a girl, that both children will be girls?
Both children are girls whenever the other child is a girl. The chances of that are 50/50. You flip two coins. You look at the first one, and it landed heads. What are the chances the other one landed heads? The same 50/50 as before you looked at the other one.

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Originally posted by: mrmarcus12LVA
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Originally posted by: FrankKneeland What are the chances, given that one of the children is a girl, that both children will be girls?
Both children are girls whenever the other child is a girl. The chances of that are 50/50. You flip two coins. You look at the first one, and it landed heads. What are the chances the other one landed heads? The same 50/50 as before you looked at the other one.


gb, bg, gg all have equal probability if there is at least one girl. You are saying that gb+bg=gg. That is not correct.

In your coin flip you are assuming the first coin is head. Just like assuming the first twin is a girl. We only know that one of the twins is a girl, not the first born.
There are 4 women, one has gg, two have bg, and one has bb. If you meet one of those four women, and she has a daughter, what are the chances she has two daughters? NOW the answer is 1/3.

Neither the flipping order nor the documenting order changes the objective probability that each coin lands 50/50. Coins land 50/50 independent of our knowledge. The Earth still orbits the Sun, even though Galileo died.
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Originally posted by: FrankKneeland
New Puzzle 2: Who Keeps Sheep

The following puzzle is designed to rate someone on their reasoning skills and reveal how they solve problems. It is easy to solve if you think in a particular way and impossible to solve otherwise.

You should time yourself and show work. The answer is not as important as the method you use to solve it. Therefore, simply giving the answer without showing how you got it would be considered a fail. I did it just for fun and got the correct answer in about 30 min. Try to beat me.

• There are 5 adjacent residences each made of a different material.
• In each resides a man of a different race who owns them.
• Each owner has a preferred beverage. Each of the five also has a preferred weapon and keeps a single type of animal as pet or for food. No owner has the same animal, fights with the same weapon nor consumes the same beverage.
• The question is. “Who Keeps Sheep?”

CLUES

1. The Dane lives in the Grass Hut.
2. The Norman has a Tiger.
3. The Viking drinks Mead.
4. The Cloth Tent is to the left of the Brick House.
5. The owner of the Cloth Tent likes Ale.
6. The person that uses a Long Sword has a Cow.
7. The owner of the Tudor house uses a Long Bow.
8. The person in the middle residence drinks only Water.
9. The Brit lives in the first residence.
10. The person that fights with a Mace, lives next to the one that keeps Horses.
11. The person with the Pig lives next to the one that's an Archer.
12. The one that fights with a Rapier drinks Wine.
13. The Goth has a Battle Axe.
14. The Brit lives next to the guy with a Mud Hut.
15. The person that fights with a Mace, has a neighbor that drinks Guinness.

NOTE: It is original and not on-line, so it's not possible to look up the answer.


Shepherds
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