Final answer:
The question pertains to calculating probabilities of having type O blood, the Rh--factor, or both, within given samples. Typically, detailed calculations would require additional data on the total population and Rh factor prevalence. However, some probabilities are provided, which suggest they apply to the African American sample listed.
Step-by-step explanation:
The subject of this question is Mathematics, specifically dealing with probability and possibly genetics, as it refers to blood types and the Rh factor. The question would be most relevant to students in High School who are studying advanced topics in mathematics or biology. However, it seems there may have been some confusion in the question details, as Sample 1 and Sample 2 are mentioned but then referred to as Sample A and Sample B, which might suggest a typo. Nevertheless, assuming Sample 1 corresponds to Sample A and Sample 2 to Sample B, we can calculate the probabilities based on the information given.
Calculations are as follows:
- Probability of having type O blood (P(O)) is the number of individuals with type O blood divided by the total number of individuals in the sample.
- Probability of having the Rh--factor (P(R)), based on the average percentage given.
- Probability of having both type O blood and the Rh--factor (P(O AND R)), which is also provided.
- Probability of having either type O blood or the Rh--factor (P(O OR R)) is calculated using the formula: P(O) + P(R) - P(O AND R).
- The area mentioned refers to a Venn diagram or similar representation in probability, depicting the individuals with both characteristics.
The specific probabilities for each sample would need additional information, such as the total number of people in each sample and the prevalence of the Rh-- factor among the sampled populations. Without this, precise calculations cannot be made. However, considering the data provided, one could use the probabilities indicated (P(O) = .51, P(R) = .075, P(O AND R) = 0.04) if they are assumed to pertain to one of the samples mentioned, likely the African American sample based on the context clues.