Your wording is very specific, so I'm quoting it here. I see some of the replies missed the subtlety though, so I'd like to emphasise that.
You are specifically pointing out the opportunity to "make their own way". You are not implying that every child has the same opportunities.
Every child is born different. To different parents. In different communities. In different countries. Those differences are material, and will shape both opportunities and abilities.
Genetics means I'll never be a pro athlete. I play sports but no one has (or ever will) give me spotting 'opportunities'. My sporty friend can't draw, and no one us offering her the opportunity of a gallery show.
This is probably a good thing as I have no desire to he an athlete and she has no desire to be an artist.
That does not negate the opportunity we both have to live in a country, and time, when we can both pursue the life we (realistically) want. 100 years ago, her, not so much.
Life is not fair. I was blessed with a good education, a brain to get value from it, and some luck to turn it into a living. In turn we give opportunities to others.
Of course all children everywhere do not have the right to choose their own path. Indeed that's a -very- recent development, and is still not universal. External factors still collide all too often.
No child wants to be born into poverty, or famine, or war. Or be told their sexuality is offensive. Or be economically excluded because they're not white enough, or too white.
Life is not fair. It never will be. And I can't fix most of that. I'm ahead of fair, only because of accidents in genetics, heritage and timing. All I can strive to do is create opportunities for others, and try and play fair, overcoming some of the prejudices that got me here.
I am encouraged by the progress of the last 100 years. I hope that progress continues for the next 100.