I'll reply as one of those people who does vaccinate. I also have no issue with having myself vaccinated, but have I had all the same shots as my child? No. You have to keep in mind that things have changed over time, and when new vaccines are introduced public health services does not go back and vaccinate the entire population, depending on what vaccine you are talking about, depending on who is n=most at risk, depending opn cost, so you really need to anwser this question vaccine by vaccine, theya re all a bit different, and I am speacking of what I know based on the health regions I have worked in.
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dipthereia, tetanus, polio, pertussis vaccines have been around a long time, and most paretns today would have been offered those as a child, some of those vaccines have changed like the switch from whole cell to accellular pertussis vaccine. If you didnt' have those beforer as an adult you can get the series done for free, and the boosters for tetanus and diphtheria. Pertussis has changed. pertussis vaccine is not nearly as long lasting, adults were not boosted as they don't get deathly ill from that, but then eventually it was decided that it might be a good idea to vaccinate adults/ teens as they tend to be the ones speading it around, so they are recommended to vaccine, not so much to protect themselves from seroius disease, but as a measure to reduce pertussis in teh population overall, therefore reduce the risk to the vulnerable sector. Now persussis is ofered as a tetanus, dphtheria, pertussis booster at age 14ish, instead of the tetanus, diphtheria. ALso in my region it is offered to paretns of infants. Outside of the"recommendations" you could prchase it.
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MMR is not given to anyone born pre 1970 ( in my region) as you are consided immune from natural disease.  this vaccine started around the late 1960's. The entire population asa whoiel is not tested to check on your immunity, but for certain situaion, like any pregnant woman, or certain occupations if you are tested and you are not immune, then you are offered vaccine.
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Chickenpox, when it started, started with children aged 1 and pre K, then it was added to the school schedule at grade 5, if you didnt' have the disease yet. If you are an adult, 99% chance you had chickenpox already, if you come up non immune on your prenatal bloodwork you are offered vaccine. If they know that 99% of the population has chickenpox disease by age 20 (pre vaccine years) they are not going to go and recommend that every peoprson get the vaccine, or even get tested for the vaccine as it becomes too expensive. The line is drawn somewhere.
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things like hib, meningococcal, pneumococcal, are given to those most at risk, not the entire population. Children, all people over age 65 are recommended to get pheumococaal where I live, Also some other adults do get those vaccines, but it is only for certain people, like spleenectomy's or certian immunocompromised people.
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Also some vaccines are recommended based on occupation. For example most people who are adults born post 1970 would have had MMR, probably 1 dose. Later it was changed to a 2 dose schedule. I fyou are in Health care, it is recommended you get that second dose ( and paid for by the governent), but not all adults are funded, just healthcare workers.
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I don't know how it works in the states, but in Canada there are recommendations made federally, then each province decides based on that, based on there own population, and disease patterns, based on cost what they will fund and for who. (health care is a provincial responsibility). The recommendations for the generally healthy adult is different for certain high risks groups, high risk popultions, how  old you are, etc. for example, in alberta meningococcal is offered from 2 months on, in Saskatchewan it is not offered until 1 year of age. Hep B is given in AB in grade 5, in SK in grade 6. Hepb B is given at 2 months in both provinces if you are in an endemic ethinic group, and given at birth only mom is a hep B carrier, but I believe some of the atlantic provinces give all babies hep b and don't do it at school age.Â