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CantorEsq and PositiveAynayim, in that story, the RBSH deliberately withheld his hashgacha so the choices were random. However, in a goral lshem shomayim, he would operate the same way he operates in any other method of making shidduchim which are all min hashamayim. People use the goral HaGRA to make decisions sometimes, and it is not considered random.
AZ, as you well know, and which I have checked on population charts, the number of boys born each year exceeds the number of girls, and boys outnumber girls up until age 35, the crossover point, at which time the increased longevity of females begins to overtake the number of males. When I said senior age brackets have a shortage of available men, I meant in the elderly brackets, where nebech, many men have passed on. That has nothing to do with our discussion.
Since marriage is between one man and one woman, there are an equal number of single men and women at any time before 35. The only question is who is getting paired with who. Assuming population growth of a few percent per year, your hypothesis is that the men of a given generation choose from the bigger pool of younger girls, while the women who don’t get chosen are left without anybody. But keep in mind that at all times, the number of single men equals the number of single women. The men may just be pickier and think they can hold out for a younger girl. However, I think by age 30, many men realize that a 19 yr old fresh-out-of-seminary girl will not go for them so easily. The goral system says that if you are single, you will get paired at random with people in your 5 year age bracket. So for a man at age 30, he will automatically get paired with somebody who is in the 30-35 yr bracket, and this means he will llikely get someone older than him until he is 35, at which time all the people in his bracket are younger than him.
Anyway, please cite statistics of boys schools as well, so we can compare.