Problem

Blood Types A hematology text gives the following information on percentages of the differ...

Blood Types A hematology text gives the following information on percentages of the different types of blood worldwide.

Type

Positive Blood, %

Negative Blood, %

A

37

6

O

32

6.5

B

11

2

AB

5

0.5

Construct a Venn diagram similar to the one in Example and place the correct percentage in the of the eight regions.

Example Blood Types

Human blood is classified (typed) according to the presence or absence of the specific antigens A, B, and Rh in the red blood cells. Antigens are highly specified proteins and carbohydrates that will trigger the production of antibodies in the blood to fight infection. Blood containing the Rh antigen is labeled positive, + , while blood lacking the Rh antigen is labeled negative, − Blood lacking both A and B antigens is called type O. Sketch a Venn diagram with three sets A, B, and Rh and place each type of blood listed in the proper region. A person has only one type of blood.

Solution

As illustrated in Chapter 1, the first thing to do is to read the question carefully and make sure you understand what is given and what you are asked to find. There are three antigens A, B, and Rh. Therefore, begin by naming the three circles in a Venn diagram with the three antigens; see Fig.

Any blood containing the Rh antigen is positive, and any blood not containing the Rh antigen is negative. Therefore, all blood in the Rh circle is positive, and all blood outside the Rh circle is negative. The intersection of all three sets, region V, is AB + . Region II contains only antigens A and B and is therefore AB. Region I is A− because it contains only antigen A. Region III is B−, region IV is A+, and region VI is B + . Region VII is O+, containing only the Rh antigen. Region VIII, which lacks all three antigens, is O−.

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