Final answer:
The probabilities of hitting the black circle inside the target or the white portion cannot be determined without additional details about their sizes in relation to the entire target.
Step-by-step explanation:
The statement that accurately describes the probability of hitting the black circle inside the target is that the probability cannot be determined from the information given. Similarly, the probability of hitting the white portion of the target also cannot be determined from the information given, because we do not have information on the sizes of the black circle and the white portion relative to the overall target.
From the probability notation provided, it seems that there is additional context regarding a shooter's accuracy in hitting a bullseye, with P(A) = P(B) = 0.70 for hitting the center on one shot, and P(B|A) = 0.85 for hitting the center on a consecutive second shot given the first was a hit. However, without specifics about the relative sizes of the black circle and the square target in the question about Sophia and the dartboard, we cannot determine the probabilities for hitting the black or white areas.