Challenge Questions Blog

Challenge Questions

Stop in and exercise your brain. Talk about this month's Challenge from Specs & Techs or similar puzzles.

So do you have a Challenge Question that could stump the community? Then submit the question with the "correct" answer and we'll post it. If it's really good, we may even roll it up to Specs & Techs. You'll be famous!

Answers to Challenge Questions appear by the last Tuesday of the month.

Previous in Blog: Marble Mania: Newsletter Challenge (September 2020)   Next in Blog: Bamboozling Birth, Part 2: Newsletter Challenge (November 2020)
Close
Close
Close
28 comments
Rate Comments: Nested

Bamboozling Births: Newsletter Challenge (October 2020)

Posted September 30, 2020 5:01 PM
Pathfinder Tags: births challenge question

This month's GlobalSpec Newsletter Challenge is:

An unnamed dystopian society is concerned about the widening ratio of women to men. Its leader proclaims that going forward, a woman is forbidden to have more children after giving birth to her first son.

Would this strategy work to move toward a 50:50 ratio of girls to boys? Why?

And the answer is:

The short answer to this puzzle is no.

Following the laws of chance, the first round of births would be split 50:50. The mothers of boys would cease having children, and the mothers of girls would continue to do so until they had a boy. Each subsequent birth would have a 50:50 chance of resulting in a girl or boy.

Essentially, the sum of the results of each round of births would still result in the same ratio as before the strategy began. Of course, we can assume that girl children could grow up to become mothers whereas boy children would not, but this has no bearing on the actual ratio following the decree.

Reply

Interested in this topic? By joining CR4 you can "subscribe" to
this discussion and receive notification when new comments are added.

"Almost" Good Answers:

Check out these comments that don't yet have enough votes to be "official" good answers and, if you agree with them, vote them!
Guru

Join Date: Mar 2007
Location: by the beach in Florida
Posts: 33392
Good Answers: 1817
#1

Re: Bamboozling Births: Newsletter Challenge (October 2020)

09/30/2020 7:10 PM

A couple can only have 1 son, but several girls....so no....

__________________
All living things seek to control their own destiny....this is the purpose of life
Reply
Guru

Join Date: Apr 2010
Location: About 4000 miles from the center of the earth (+/-100 mi)
Posts: 9910
Good Answers: 1141
#2

Re: Bamboozling Births: Newsletter Challenge (October 2020)

09/30/2020 7:55 PM

I am assuming only monogamous married couples are having children and the probability of male and female birth is equal, 50-50. - Here is an example:

Take 1024 couples. 512 have boys, 512 have girls. The 512 with girls then have 256 boys, 256 girls. The 256 with girls have 128 boys, 128 girls, etc...

512g, 512b

256g, 256b

128g, 128b

64g, 64b

32g, 32b

16g, 16b

8g, 8b

4g, 4b

2g, 2b

1g, 1b

New people being born are equal boys and girls. Adding these to the existing women-majority population would drive the ratio closer to 50 - 50.

Would this strategy work to move toward a 50:50 ratio of girls to boys?

Yes.

Reply Score 1 for Good Answer
Guru

Join Date: Mar 2007
Location: by the beach in Florida
Posts: 33392
Good Answers: 1817
#3
In reply to #2

Re: Bamboozling Births: Newsletter Challenge (October 2020)

09/30/2020 8:39 PM

Actually the odds slightly favor male babies....100-105

Your scenario doesn't apply here as there is an imposed control on only male births not female....a couple could have 10 girls and only 1 boy....no family will have more than 1 boy, but can continue to have girls one after another until a boy pops out, if that even ever happens....

__________________
All living things seek to control their own destiny....this is the purpose of life
Reply
Guru

Join Date: Apr 2010
Location: About 4000 miles from the center of the earth (+/-100 mi)
Posts: 9910
Good Answers: 1141
#4
In reply to #3

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/01/2020 11:05 AM

I'm still thinking that the sex ratio of babies born will be the same, no matter who is having them.

Reply Score 1 for Good Answer
Guru

Join Date: Mar 2007
Location: by the beach in Florida
Posts: 33392
Good Answers: 1817
#5
In reply to #4

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/01/2020 12:37 PM

I agree the m/f birth ratio will be roughly the same...but what ever is killing off the males prematurely has yet to be dealt with...If the natural birth rate is roughly 50/50 to begin with, and no other changes are made, this strategy won't make any change in the ratio...clearly the problem isn't the male/female birth ratio...

__________________
All living things seek to control their own destiny....this is the purpose of life
Reply
Guru

Join Date: Apr 2010
Location: About 4000 miles from the center of the earth (+/-100 mi)
Posts: 9910
Good Answers: 1141
#6
In reply to #5

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/01/2020 3:40 PM

If you read carefully between the lines, they were on the losing side of a terrible war. The war is now over but a huge number of the male soldiers were killed in battle.

Actually, the proclamation would be counterproductive. Children are born 50/50 male/female, thus driving the existing female-dominated M/F ratio closer to 50/50, with or without the proclamation.

By removing those couples who had borne a son from producing more children, the leader would have slowed this natural process.

Reply
Guru

Join Date: Mar 2007
Location: by the beach in Florida
Posts: 33392
Good Answers: 1817
#7
In reply to #6

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/01/2020 5:20 PM

"A dystopian society is a fictional society that imposes a harmful, oppressive, and miserable existence upon its members. "

It's the very nature of this dystopian society that is resulting in the m/f imbalance...I don't believe the exact mechanisms at work are really that apropos to the point..

__________________
All living things seek to control their own destiny....this is the purpose of life
Reply
Power-User

Join Date: Nov 2011
Location: NASA-Glenn Research Center, Cleveland Ohio
Posts: 389
Good Answers: 17
#21
In reply to #4

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/08/2020 7:10 AM

Statically speaking Rixter is 100% correct doesn't matter who is having them. The ratio is the ratio. Don't see how that changes. the family's that are blessed with a female will be allowed to roll the die again, with the same chances as anyone else having a child. this is if we are talking specifically on stats. these other influences such as environment, geology, sexual position (barring some ), or moon phase may or may not have an influence, i cannot comment on that, well except for which will be 100% zero chance of pregnancy.

Reply
Guru

Join Date: Oct 2009
Posts: 1460
Good Answers: 30
#9
In reply to #2

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/02/2020 6:08 AM

No. The families who beget a girl carry on trying until they get a boy, and then stop. That boy finds a wife, but there are still a lot of surplus girls.

To redress the balance, i know of one family who were trying for a girl. They gave up after 4 boys.

Reply
Guru

Join Date: Dec 2010
Location: North West England
Posts: 1170
Good Answers: 153
#8

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/02/2020 4:53 AM

Genetically the first born child is a good indicator of which of the parents has the dominant genes. So those who have a boy first are more likely to produce more boys to contribute the the normal 50:50 ratio. By preventing this the policy would actually make the situation worse. But that's politicians for you, don't think things through!!

Reply
Guru

Join Date: Apr 2010
Location: About 4000 miles from the center of the earth (+/-100 mi)
Posts: 9910
Good Answers: 1141
#13
In reply to #8

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/02/2020 7:22 PM

Actually, it's not the dominant parent that determines the sex of the child, it's whether the father supplies an X or Y chromosome that combines with the mother's X chromosome. XY = male, XX = female.

Then there's another theory that whoever had it last determines the sex.

Reply
Guru

Join Date: Dec 2010
Location: North West England
Posts: 1170
Good Answers: 153
#14
In reply to #13

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/03/2020 4:59 AM

You are correct but you can be more correct than you are now. Please read the link which shows that genes determine the how likely a male is to produce sons or daughters

https://www.ncl.ac.uk/press/articles/archive/2015/08/boyorgirlitsinthefathersgenes.html

Reply
Power-User

Join Date: Oct 2011
Posts: 138
Good Answers: 21
#10

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/02/2020 6:45 AM

Although the normal f/m ratio should be 50/50, we have here an imbalance (probably caused by an external factor (pollution, the use of endocrine disrupting chemicals, global warming or any other cause). Let’s say this imbalance is 51/49 (but any other value will give the same final result). Excluding women who will have no child (a small percentage anyway), after having the first child, 49% of them (who have boys) will be forced to stop having more children and only the remaining 51% of them can have a second child. Note that with this first birth the f/m ratio is 51/49. If those 51% will have a second child, again the same f/m ratio of 51/49 will occur. So, forcing the women who had a boy as a first child to stop having children doesn’t change the f/m ratio at all. The same applies to have the third child and so on.

So, the measure is useless in changing the f/m ratio - it will only lead to a population number decline (if 49% of all women can have only one child, this decline will be quite significant).

Reply Score 1 for Good Answer
Active Contributor

Join Date: Oct 2020
Posts: 24
Good Answers: 2
#18
In reply to #10

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/07/2020 2:46 AM

Good analysis and explanation!

I did the same, but since I had Matlab already running for work purposes, I went with monte carlo :-)

Using a ratio of 105 boys versus 100 girls born, which is commonly encountered on the internet, I calculated how the government rules affected the population. Indeed, the ratio remained the same, just the number of kids declined dramatically, from about 2 kids per household to an average 1.3 kids per household.

Grtz,

Karel

Reply
Guru

Join Date: May 2016
Posts: 1746
Good Answers: 87
#11

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/02/2020 11:31 AM

Wrong initial assumption. Institutionalize polygamy. It will most likely form a more peaceful society.

Reply
Guru
Engineering Fields - Electrical Engineering - Been there, done that. Engineering Fields - Control Engineering - New Member

Join Date: Dec 2008
Location: Long Island NY
Posts: 15600
Good Answers: 981
#12
In reply to #11

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/02/2020 6:07 PM

I don't see at all how polygamy could promote a more peaceful society. Now with a reduced male population I do see how it can increase reproduction but that's not the claim.

__________________
"Don't disturb my circles." translation of Archimedes last words
Reply Off Topic (Score 5)
Power-User

Join Date: Jul 2014
Posts: 113
Good Answers: 4
#15

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/04/2020 10:36 PM

The chances of having a male or female child has a lot to do with the timing of having sex.
If you wait a few days, the chance of having a male is increased.
This is to do with the build-up of sperm.
Those who have a lot or regular sex have a higher chance of conceiving a girl.
I read the book on this some 50 years ago and have correctly predicted the outcome of a child on many occasions.
Everyone somehow thinks I have have some involvement in the situation and others think I am psychic.
But I just read the book. One paragraph on page 120 of a 145 page book provided the explanation.

Reply
Power-User

Join Date: Jun 2010
Location: Amsterdam, Netherlands
Posts: 343
Good Answers: 32
#16
In reply to #15

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/05/2020 4:17 AM

To add to colin55's post:

I read that hot sex produces more males... due to the PH level in the vagina. The male producing spermatozoon is less tolerant to an acid environment and hence, swims slower than the female producing spermatozoon. Therefore with the female partner not being sufficiently "turned on", ejaculation happens in a more acid environment giving the female producing sperms an advantage down the race track. But a hot juicy alkaline environment gives a big advantage to the male types.

__________________
Humans are just smart enough to fool themselves.
Reply Off Topic (Score 5)
Active Contributor

Join Date: Oct 2020
Posts: 24
Good Answers: 2
#19
In reply to #15

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/07/2020 2:52 AM

Hi Colin,

It is a little creepy that you know the sex-frequency of couples 'on many occasions', but that's OK :-)

So if the government wants to change the ratio from more boys to more girls, it should stimulate more frequent sex. That will be a riot :-)

"Yes babe, again - it is for the glory of the country"

Grtz,

Karel

Reply Off Topic (Score 5)
Power-User

Join Date: Jul 2014
Posts: 113
Good Answers: 4
#22
In reply to #15

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/08/2020 7:33 AM

I don't think anyone here has understood what I have said.
The reason why some families have 6 boys is due to the infrequency of sex.

Reply Off Topic (Score 5)
Power-User

Join Date: Nov 2011
Location: NASA-Glenn Research Center, Cleveland Ohio
Posts: 389
Good Answers: 17
#17

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/05/2020 7:12 AM

What you do not say is if the society is starting out male rich and the society (such as areas in India) is trying to even ratio. if that is the case, i guess this is a lottery type way.

Reply
Guru
Australia - Member - New Member

Join Date: Feb 2008
Location: Australia
Posts: 2181
Good Answers: 255
#20

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/08/2020 5:25 AM

I know of some dairy herd breeders that selected bulls for their female offspring ratio. Some are claiming as high as 85% females with money back guarantees on bulls they sell.

If the reproduction ratio were 85 (female) to 15 (male) and the CURRENT population was something less than 85% (female), then the subsequent populations would actually move further away from 50:50. In a monogamous society, such a population would suffer 70% population decline on each generation and deliver itself into the wisps of time.

__________________
Just an Engineer from the land down under.
Reply
Power-User

Join Date: Nov 2011
Location: NASA-Glenn Research Center, Cleveland Ohio
Posts: 389
Good Answers: 17
#27
In reply to #20

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/23/2020 7:18 AM

those "male producing" bulls were bred somehow to produce that outcome. cattle can reproduce in a year.

Reply
Guru
Engineering Fields - Electrical Engineering - Been there, done that. Engineering Fields - Control Engineering - New Member

Join Date: Dec 2008
Location: Long Island NY
Posts: 15600
Good Answers: 981
#23

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/08/2020 8:22 AM

There is one way this authoritarian edict might tip the population back towards a 50/50 ratio. If the first cycle of births after this edict happens a significantly greater than half of the births are male. (Remember random acts only average out to a predictable value.) After this cycle, much less than half of the women are permitted to have a second pregnancy to make up for a large number of male offspring.

Technically this edict is not really altering the procreation sex ratio. It is making the sex ratio of the first procreation cycle after enforcement a more dominant ratio.

{I have to say this. This eugenics poser disturbs and disgusts me. Too many atrocities have already occurred in the name of making a "better" population by various eugenic methods including this proposed forced sterilization. CR4 and GlobalSpec should be ashamed of itself.}

__________________
"Don't disturb my circles." translation of Archimedes last words
Reply
Guru
Engineering Fields - Marine Engineering - New Member

Join Date: May 2007
Location: Australia.
Posts: 1642
Good Answers: 81
#24

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/23/2020 5:29 AM

(1) My mother was one of 13, the last but one was a boy, must have give up when the last was a girl again? FATHER = active labourer.

(2) My wife is the eldest of sever girls, FATHER = active labourer.

(3) SO what determines the offspring, I have two children, a boy and girl?

Reply
Power-User

Join Date: Jul 2014
Posts: 113
Good Answers: 4
#25
In reply to #24

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/23/2020 6:18 AM

I have explained the way it works.

Reply
Guru
Engineering Fields - Marine Engineering - New Member

Join Date: May 2007
Location: Australia.
Posts: 1642
Good Answers: 81
#26
In reply to #24

Re: Bamboozling Births: Newsletter Challenge (October 2020)

10/23/2020 6:57 AM

PS .

(5) My father was the eldest of 5, three boys two girls, FATHER = Steam truck driver.

(6) I am the eldest of three boys, FATHER = barber.

(7) MAYBE, regarding sperm? personal memory's , Male conceived when the sperm travels horizontal, Female conceived when the sperm travels vertical, something for Colin55 to think about.

(8) Or maybe its just a roll of the dice.

Reply
Guru

Join Date: Aug 2005
Location: Hemel Hempstead, UK
Posts: 5826
Good Answers: 322
#28
In reply to #26

Re: Bamboozling Births: Newsletter Challenge (October 2020)

11/28/2020 10:41 AM

"Or maybe its just a roll of the dice."

OMG now you're postulating an alien race with six different sexes,

Even if you start to consider a society with three distinct sexes the possibilities become very interesting. Sounds like a good idea for a book.

__________________
If you spend all your time looking for people and things to complain about: trust me, you will find plenty to complain about.
Reply
Reply to Blog Entry 28 comments

"Almost" Good Answers:

Check out these comments that don't yet have enough votes to be "official" good answers and, if you agree with them, vote them!
Copy to Clipboard

Users who posted comments:

Alex. Roman (1); colin55 (3); jdretired (2); jhhassociates (2); Jpfalt (1); Just an Engineer (1); kendall (1); kkn (2); phph001 (1); Randall (1); redfred (2); Rixter (4); setlock77 (3); SolarEagle (4)

Previous in Blog: Marble Mania: Newsletter Challenge (September 2020)   Next in Blog: Bamboozling Birth, Part 2: Newsletter Challenge (November 2020)

Advertisement