Equality of opportunity means "ability to pay" is not a factor.
Education has a lot to do with being unemployed or making minimum wage vs being an engineer or a doctor and earning enough to be independent and secure.
Also, equality of opportunity means no "well connected" family members to get somebody into an opportunity, instead, people will only make or find opportunity based upon their own merits.
High School drop out mom's with their in jail boyfriends who have 11 kids.
Their Kids are just going to keep repeating the fail cycle without a "way out" Yes, some get scholarships, or make it in sports, and have a way out. And others may take out loans for school and succeed. But the failure rate is impossibly high.
If we had a true equality of opportunity, the same percentage of "born poor" people would "make it" in their life as the percentage of "born rich" people or "born average" people.
Unless you are implying that they have all the same doors open to them, and that the only reason poor people stay poor is because they are somehow inferior to people of greater wealth.
If anybody thinks there's anything close to resembling equality of opportunity in the USA, they are completely ignorant of reality on a scale immeasurably large.
No matter how you try to spin it, there is nothing in any way shape or form close to giving people any sort of equality of opportunity.
Bullshit.
There are no laws preventing children of jailed single mothers from going to Harvard or Yale or Standford.
There are no laws preventing Mexicans from becoming corporate CEOs.
There are no laws preventing Blacks from going to the same schools as Whites.
There are no laws preventing Muslims from being policemen.
There are no laws preventing Albinos from working retail.
Etc. Etc. Etc.
Equality of opportunity does NOT NOT
NOT mean that everything will be handed to you. It means that everyone has the
opportunity to pursue whatever path they want in life, such that no artificial barriers (note that money is not an artificial barrier, no matter how much you want it to be) will prevent them from attempting to attain their goal.
What you are attempting to illustrate is "fairness." Nothing is fair. Life isn't fair. "Fair" doesn't enter into any realistic equation in life. No, it's not "fair" that children of jailed single mothers tend to do very poorly in life. But that has absolutely nothing to do with the fact that the opportunity is afforded to them to break out of the cycle. Is it as easy as, say, the son of a small businessman? No, but it's not supposed to be. The world isn't fair.
Again, your concern is equality of outcome. You want everyone to go to college and get a college degree. You want everyone to have the same well-paying jobs. You want everyone to have the same "fair share." That's not, and shouldn't be, the way the world works.