The blood-typing system is based on the presence or absence of antigens. A person with antigen A has blood type A. A person with antigen B has blood type B, and a person with both antigens has the blood type AB. If there are no antigens, then the blood type is O. In addition, blood types are also identified as Rh-positive or Rh-negative based on a different antigen. What is the probability that a person has the antigens A or B?
The blood-typing system is based on the presence or absence of antigens. A person with antigen A has blood type A. A person with antigen B has blood type B, and a person with both antigens has the blood type AB. If there are no antigens, then the blood type is O. In addition, blood types are also identified as Rh-positive or Rh-negative based on a different antigen. What is the probability that a person has the antigens A or B?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The blood-typing system is based on the presence or absence of antigens. A person with antigen A has blood type A. A person with antigen B has blood type B, and a person with both antigens has the blood type AB. If there are no antigens, then the blood type is O. In addition, blood types are also identified as Rh-positive or Rh-negative based on a different antigen. What is the probability that a person has the antigens A or B?
![The image is a Venn diagram illustrating the distribution of blood types within a group. The diagram consists of three circles, intersecting with one another, each labeled with a blood type category: A, B, and Positive. Here's a detailed explanation of the diagram:
1. **Circle A**: Represents individuals with blood type A.
- Contains the numbers 6, 35, 3, and 1.
2. **Circle B**: Represents individuals with blood type B.
- Contains the numbers 2, 9, 3, and 1.
3. **Circle Positive**: Represents individuals with a positive Rh factor.
- Contains the numbers 37, 35, 9, 3, and 1.
**Intersections**:
- The intersection of circles A and B contains the number 1, indicating individuals with both blood types A and B.
- The intersection of circles A and Positive contains the numbers 35 and 3, indicating individuals with blood type A and a positive Rh factor.
- The intersection of circles B and Positive contains the numbers 9 and 3, indicating individuals with blood type B and a positive Rh factor.
- The intersection of all three circles contains the number 3, indicating individuals with blood types A, B, and a positive Rh factor.
**Outside the Circles**:
- The number 7 is outside the circles, representing individuals who do not fall into any of these categories.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac872f54-4906-4f32-b379-e084ed9884ee%2F1b85bda5-a389-434a-8a0f-559fa870b7ae%2Fbieg94j_processed.gif&w=3840&q=75)
Transcribed Image Text:The image is a Venn diagram illustrating the distribution of blood types within a group. The diagram consists of three circles, intersecting with one another, each labeled with a blood type category: A, B, and Positive. Here's a detailed explanation of the diagram:
1. **Circle A**: Represents individuals with blood type A.
- Contains the numbers 6, 35, 3, and 1.
2. **Circle B**: Represents individuals with blood type B.
- Contains the numbers 2, 9, 3, and 1.
3. **Circle Positive**: Represents individuals with a positive Rh factor.
- Contains the numbers 37, 35, 9, 3, and 1.
**Intersections**:
- The intersection of circles A and B contains the number 1, indicating individuals with both blood types A and B.
- The intersection of circles A and Positive contains the numbers 35 and 3, indicating individuals with blood type A and a positive Rh factor.
- The intersection of circles B and Positive contains the numbers 9 and 3, indicating individuals with blood type B and a positive Rh factor.
- The intersection of all three circles contains the number 3, indicating individuals with blood types A, B, and a positive Rh factor.
**Outside the Circles**:
- The number 7 is outside the circles, representing individuals who do not fall into any of these categories.
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