Answer:
The answer appears to be (c) to highlight the significance of equal access to education)
Step-by-step explanation:
The case of Brown v. Board of Education was about the severely unjust "separate but equal" idea hurting the education system. While the idea was that the government could educate people of different races in separate schools and still give them an equal education, this was not the case. Thus, when the excerpt states that "it is doubtful that any child may reasonably be expected to succeed in life if he is denied the opportunity of an education", they mean that it is very important for everyone to have equal access to education. Basic education is extremely important in succeeding in life and work. Without education, there is a low chance for success.
( Note that the "separate but equal" idea wasn't just for schools. It also affected other parts of life, like water fountains and bathrooms. )