Final answer:
The distribution justified by Nozick's entitlement theory of justice would be option D) 20 goods to Group A and 5 goods to Group B. The correct option is D.
Step-by-step explanation:
Nozick's entitlement theory of justice is based on the idea that a distribution is just if everyone is entitled to the holdings they possess under the distribution.
According to Nozick, individuals are entitled to their property as long as it is acquired through voluntary means and without violating the rights of others.
Therefore, the distribution that would be justified under Nozick's theory is option D) 20 goods to Group A and 5 goods to Group B.
In this distribution, Group A would possess all 20 goods because they acquired them through voluntary means without violating the rights of others.
Group B would possess 5 goods, indicating that they have acquired some goods through voluntary means as well but are less well-off than Group A. The correct option is D.