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Based on the data, what percent is the probability that a female patient will have type-O blood? Round your answer to the nearest tenth of a percent. Type a numerical answer in the space provided. Do not include % or spaces in your answer.

A) 21.5%
B) 28.7%
C) 35.2%
D) 42.9%

1 Answer

6 votes

Final answer:

The question is missing relevant data to determine the probability specific to female patients, but the percentage of African Americans who have type O blood in general is 51 percent according to the given statistical data.

Step-by-step explanation:

To determine the probability that a female patient will have type-O blood, we use the given statistical data regarding blood types and Rh factors. Given that 43 percent of people have type O blood and 15 percent of people have the Rh- factor, but also knowing that 52 percent have either or both, we calculate the intersection (people who have both type O blood and the Rh- factor). By subtracting the intersection from the sum of individual probabilities, we found that 6 percent have both type O and Rh- blood.

A previous example provided that 51 percent of African Americans have type O blood (P(O)), and 7.5 percent have the Rh- factor on average (P(R)). It was further specified that 4 percent have both (P(O AND R)). The probability of having either type O blood or Rh- factor (P(O OR R)) is calculated by adding the probabilities of each event separately and then subtracting the probability of both events occurring together, which equals 54.5 percent.

Based on this information, the percentage of African Americans who have type O blood (without regard for Rh factor) can be confirmed to be 51 percent. However, since we do not have a breakdown of this probability by gender, we cannot calculate the probability specific to female patients unless additional data were provided that indicated a differentiation between males and females within the population statistics.

User Matt Ryan
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