- all people have two parents.
- so 2 parents, 4 grandparents, 8 great grandparents, and the pattern continues
- so I can calculate my total number of ancestors using algebra. 2^X (two to the x power) where X is the number of generations.
So if I assume generations are 30 years apart and I wanted to go back 1,500 years, I could calculate my number of ancestors by 2^50. (two to the 50th power). That's over 1,000,000,000,000,000 people.
The problem with that is there were not that many people on Earth then (or now for that matter)
Kinda freaky right?!? Lots of distant cousins having kids!
Am I thinking about this right?
If this is anywhere in the neighborhood of right, how would you calculate the probably of:
1. Any given two people being related.
2. Everyone on this board being related.
Thanks
Quote: onenickelmiracleJust watched a YouTube video on this, your thoughts are correct. There are more ancestors than people ever alive. 100%. We'd need to find humans on another planet if we want new blood, that evolved independently from different shoots.
Maybe the question should have been what is the probably that I thought of something before someone else posted a YouTube video about it... Apparently it's pretty close to 0%
:-/
Quote: onenickelmiracle. 100%.
Do you mean there is a 100% chance everyone is related? If so, that doesn't feel right. I could see calculus dictating the limit is 100 percent but a limit and a probably are distinct concepts.
Quote: DocIf you were to subscribe to the concept that it all started with the equivalent of Adam and Eve (even if you don't subscribe to the religious aspects), then it would indeed seem 100% likely that we are all related.
I picked 1,500 years in an attempt to avoid creation stories / theories / religion debate. Maybe thats impossible?
Another flaw in your theory is generations back then were more like 15 years apart, not 30. Women had children as soon as they were able to. By thirty, they were grandmothers.
For example, If I live in international falls MN, there is a lower probability that I'm related to someone in Nogales Mexico relative to Winnipeg Canada.
If that's the case, highway intersection, tourism, and airport hubs, and language barriers matter.
Based on that, it might be possible that it's more likely I'm related to everyone reading this message than I am to a random person is some isolated tribe of indeginous people in the Amazon / African desert / abegerinese (sp?) / (insert another "A" word here) people?
Its counter intuitive that is more likely I'm related to a random group than another single individual...
The more I think about this, the more complex it becomes.
I hear you about feeling original hoping you are the first after a google search. I did a google search one time with no suggestions but can't remember what it was.
Quote: onenickelmiraclehttps://m.youtube.com/watch?v=mnYSMhR3jCI
I hear you about feeling original hoping you are the first after a google search. I did a google search one time with no suggestions but can't remember what it was.
Great. Now, thanks to PBS I have to think about how genghis khan works into this mess.
I don't want to sound cocky... But I suppose the most you could say is that they framed the question better than I did. I don't see an answer to the probably analysis. The guy did mention spatial relationships for almost a half second... :-)
Quote: onenickelmiraclehttps://m.youtube.com/watch?v=mnYSMhR3jCI
I hear you about feeling original hoping you are the first after a google search. I did a google search one time with no suggestions but can't remember what it was.
Hold on a sec... He's getting 2^40 (40 generations ago) at 450 B.C. (2500 years ago). I'm getting 2^50 (50 generations ago) at 500 A.D.
I've had a few burbons tonight... What math did I do wrong?
If he's assuming 62 years between generations, I have concerns with that assumption.
Quote: billryan
Another flaw in your theory is generations back then were more like 15 years apart, not 30. Women had children as soon as they were able to. By thirty, they were grandmothers.
I picked 30 years to be conservative. I have kids, so I would like to think it's less probable my wife and I are related. :-)
Changing the assumption to 15 years would increase probably if I'm thinking about this right.
I'm trying to get a grip on how I would determine how much of a difference a change in that assumption would make.
Does that make sense?
Quote: billryanKISS!!!
Please do not take offense, but if I kept it simple I'd just sit down at any random slot machine and spin hoping for the best. That's not what I do.
In my opinion, any two people are related if you go back far enough.
Or you can just travel to West Virginia.Quote: Wizard
In my opinion, any two people are related if you go back far enough.
Quote: AxelWolfOr you can just travel to West Virginia.
I heard there is 1 in 1.1 chance that people in WV are related. Sounds about right. How many last names are there in WV?
Quote: prozemaPlease do not take offense, but if I kept it simple I'd just sit down at any random slot machine and spin hoping for the best. That's not what I do.
Think about this. In the British Isles, it was very rare for people to leave their villages, except to make the big journey to America. Things barely changed, lifestyle wise, for hundreds of years. A man born in a village of a few hundred would marry, have children and die. His children would marry someone from that village, have children and die. How long before everyone in the village is related to everyone else. These people had no transportation. How far can a man go, after working in a field or a mine to court a woman? Even if he walked two hours in each direction, that's about a seven mile radius. Poor people didn't have horses or carriages. They walked, until bicycles came along. With a bike, a man could venture maybe as far as 10 or 15 miles to find a wife.
My family comes from a rural area in Ireland. Same rules applied. Start going through geneology and you'll find my Fathers Uncle Mike is my Mothers cousin and that Aunt Mary on my moms side married Uncle Andrew on my Dads side and sometimes Aunt Ann on my moms side seems to have married Uncle Bill, who also is on my moms side of the family.
This is what happens when people produce large families in relatively small areas.
I hope Mission doesn't find this thread.
Rank | State | Critical Reading | Mathematics | Writing | Total SAT score |
---|---|---|---|---|---|
1 | Illinois | 599 | 616 | 587 | 1802 |
2 | North Dakota | 597 | 608 | 586 | 1791 |
3 | Michigan | 594 | 609 | 585 | 1788 |
4 | Minnesota | 595 | 607 | 576 | 1778 |
5 | Missouri | 596 | 599 | 582 | 1777 |
6 | Wisconsin | 591 | 605 | 575 | 1771 |
7 | Iowa | 589 | 600 | 566 | 1755 |
8 | Nebraska | 589 | 590 | 576 | 1755 |
9 | South Dakota | 592 | 597 | 564 | 1753 |
10 | Kentucky | 588 | 587 | 574 | 1749 |
11 | Kansas | 588 | 592 | 568 | 1748 |
12 | Wyoming | 589 | 586 | 562 | 1737 |
13 | Colorado | 582 | 587 | 567 | 1736 |
14 | Tennessee | 581 | 574 | 568 | 1723 |
15 | Mississippi | 580 | 563 | 570 | 1713 |
16 | Utah | 579 | 575 | 554 | 1708 |
17 | Oklahoma | 576 | 569 | 548 | 1693 |
18 | Arkansas | 568 | 569 | 551 | 1688 |
19 | Louisiana | 563 | 559 | 553 | 1675 |
20 | Ohio | 557 | 563 | 537 | 1657 |
21 | Montana | 561 | 556 | 538 | 1655 |
22 | New Mexico | 551 | 544 | 528 | 1623 |
23 | Alabama | 545 | 538 | 533 | 1616 |
24 | New Hampshire | 525 | 530 | 511 | 1566 |
25 | Vermont | 523 | 524 | 507 | 1554 |
26 | Arizona | 523 | 527 | 502 | 1552 |
27 | Massachusetts | 516 | 529 | 507 | 1552 |
28 | Oregon | 523 | 521 | 502 | 1546 |
29 | Virginia | 518 | 516 | 499 | 1533 |
30 | New Jersey | 500 | 521 | 499 | 1520 |
31 | Connecticut | 504 | 506 | 504 | 1514 |
32 | West Virginia | 509 | 497 | 495 | 1501 |
33 | Washington | 502 | 510 | 484 | 1496 |
34 | Alaska | 509 | 503 | 482 | 1494 |
35 | California | 495 | 506 | 491 | 1492 |
36 | Pennsylvania | 499 | 504 | 482 | 1485 |
37 | North Carolina | 498 | 504 | 476 | 1478 |
38 | Indiana | 496 | 499 | 478 | 1473 |
39 | Hawaii | 487 | 508 | 477 | 1472 |
40 | Rhode Island | 494 | 494 | 484 | 1472 |
41 | New York | 489 | 502 | 478 | 1469 |
42 | Maryland | 491 | 493 | 478 | 1462 |
43 | Nevada | 494 | 494 | 470 | 1458 |
44 | Georgia | 490 | 485 | 475 | 1450 |
45 | South Carolina | 488 | 487 | 467 | 1442 |
46 | Florida | 486 | 480 | 468 | 1434 |
47 | Texas | 470 | 486 | 454 | 1410 |
48 | Maine | 468 | 473 | 451 | 1392 |
49 | Idaho | 467 | 463 | 442 | 1372 |
50 | Delaware | 462 | 461 | 445 | 1368 |
51 | Puerto Rico | 463 | 450 | 450 | 1363 |
52 | District of Columbia | 441 | 440 | 432 | 1313 |
53 | Virgin Islands | 414 | 388 | 412 | 1214 |
- they said that they were able to determine that that the fraction of people who had been fathered by someone other than the father named on the birth certificate/record was about 1%!
- based on what I heard, they were able to identify the extent and genetic effect of Viking raiding parties on England, in which they captured good-looking women and brought them back to Iceland
- the lecturer added that he had recently been to England recently and had concluded that the Vikings must have taken all the good-looking ones years ago!!!
But, my impression is that there is a lot of inbreeding amongst populations that are geographically distinct - we mate with people who are close to home. So, the kind of statistics in the OP probably apply to geographically clustered populations for short periods of time (like Irishmen in Boston or the Japanese in Japan, etc.) but not to the entire population of the world.
Quote: WizardWhy all the ragging on West Virginia? I had a look at average SAT scores by state and they came in 32nd out of 54 states and districts in combined SAT scores. Well ahead of my own Nevada at 43rd.
One problem with this list is that most college applicants in the southern states take the ACTs -not the SATs. I live in the South and in my experience the only students who take the SATs are those who are applying to schools outside the South (particularly the Northeast and upper Midwest) -and I suspect that these are an atypical sample group who are brighter and more ambitious about education. In other words, I think that the average scores of Southern states (like my own) are not representative because they are skewed to be too high.
It would be interesting to check the state rankings on the ACTs and see if it were different.
Quote: gordonm888One problem with this list is that most college applicants in the southern states take the ACTs -not the SATs.
Very good point. It also only looks at those applying for college in the first place.
What's that have to do with inbreeding? Should we give them the green light if we could prove it leads to higher SAT scores?Quote: WizardWhy all the ragging on West Virginia? I had a look at average SAT scores by state and they came in 32nd out of 54 states and districts in combined SAT scores. Well ahead of my own Nevada at 43rd.
I hope Mission doesn't find this thread.
If you get married in West Virginia then move to Las Vegas and get a divorce are you still considered brother and sister?
I will be sure to send Mission a link.
Quote: WizardVery good point. It also only looks at those applying for college in the first place.
Is that true? I don't recall the SAT being voluntary. I remember you could take it over again if you weren't happy with the score, but I remember taking it with some kids that weren't college bound.
Quote: billryanIs that true? I don't recall the SAT being voluntary. I remember you could take it over again if you weren't happy with the score, but I remember taking it with some kids that weren't college bound.
Why would anyone bother taking it who wasn't college bound? When I was in high school the SAT definitely was voluntary, as I assume it is now. Its my understanding it doesn't carry the same weight as it did when I graduated high school in 83 where pretty much every college required it and used it as about 50% of the criteria for admission. Today there are a lot more paths leading to college admission but I imagine most college bound applicants at least take it, in the anticipating of using it if they did well and using other paths if they didn't.
Quote: gordonm888I think that the average scores of Southern states (like my own) are not representative because they are skewed to be too high.
If that were true for all of the southern states, I think it would be quite damning, what with Florida, Georgia, South Carolina, North Carolina, and Texas all ranked 37th or worse. I think the curious thing about southern state rankings in this list is the fact that Kentucky, Tennessee, Mississippi, Arkansas, and Louisiana are all ranked in the top 20. Perhaps it is that cluster to which gordonm888 was referring.
Quote: gordonm888One problem with this list is that most college applicants in the southern states take the ACTs -not the SATs.
This may have changed, but I don't think that was the case in the 90s. I don't know of anyone at my old high school(in SC) who took the ACT. Duke's Talent Identification Program ran exclusively off the SAT as well.
Quote: socksThis may have changed, but I don't think that was the case in the 90s. I don't know of anyone at my old high school(in SC) who took the ACT. Duke's Talent Identification Program ran exclusively off the SAT as well.
All I can say is that for 1983 graduates, like me, not many kids took the ACT. I had the impression it was something certain schools liked to see but the California colleges, which were all I cared about, didn't really care about that test. Maybe a good score would have helped in a borderline case. My older daughter graduated from high school two years ago and judging from what the guidance counselor said, it was almost on part with the SAT in terms of significance and most students took both the SAT and ACT.
I know that in order to get a Regents Diploma, one had to take the PSAT and score a minimum grade. I think it was 200, but the scoring in the 1970s was very different than today.
Quote: AxelWolfWhat's that have to do with inbreeding? Should we give them the green light if we could prove it leads to higher SAT scores?
If you get married in West Virginia then move to Las Vegas and get a divorce are you still considered brother and sister?
I will be sure to send Mission a link.