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Perhaps you can link to some of those reputable sources and governments then?
https://www.plannedparenthood.org/learn/birth-control/withdrawal-pull-out-method/how-effective-is-withdrawal-method-pulling-out
https://www.plannedparenthood.org/learn/birth-control/condom/how-effective-are-condoms
Summary of the two links above is that when used perfectly, pull out method results in a 4% chance per year for pregnancy, and condoms result in a 2% chance per year for pregnancy. Real world usage (because people usually don't do things correctly) is 22% per year chance with pull out, and 13% chance with condoms.
So if done correctly, pulling out is 2% more likely than condoms, and if not done correctly it's 9% more likely than condoms.
You're saying DOUBLING the chances is negligible
I'm not sure if you're bad at math or just mad you're wrong.
2% is half of 4%
Yeah, but if you double a very small percentage, it's still a very small percentage. That's the part you don't seem to grasp. So what if it's "doubled" when the end result is still only 4%.