Human blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor the B antigen is present, the letter O is used. The following table gives the percent of a certain country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or -, respectively. Blood Types Percent A+ A B+ B 35.9 6.1 8.5 2.5 AB+ AB 0+ 0 0.6 37.4 5.6 3.4 (a) What is the probability that a person selected randomly from the population has a blood type that is type O or Rh*? (b) What is the probability that a person selected randomly from the population has a blood type that contains the A antigen? (c) What is the probability that a person selected randomly from the population has a blood type that is type AB or Rh?
Human blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor the B antigen is present, the letter O is used. The following table gives the percent of a certain country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or -, respectively. Blood Types Percent A+ A B+ B 35.9 6.1 8.5 2.5 AB+ AB 0+ 0 0.6 37.4 5.6 3.4 (a) What is the probability that a person selected randomly from the population has a blood type that is type O or Rh*? (b) What is the probability that a person selected randomly from the population has a blood type that contains the A antigen? (c) What is the probability that a person selected randomly from the population has a blood type that is type AB or Rh?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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## Understanding Blood Types
Human blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor the B antigen is present, the letter O is used.
### Blood Types and Their Distribution
The following table gives the percent of a certain country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or −, respectively.
| Blood Types | A<sup>+</sup> | A<sup>−</sup> | B<sup>+</sup> | B<sup>−</sup> | AB<sup>+</sup> | AB<sup>−</sup> | O<sup>+</sup> | O<sup>−</sup> |
|-------------|:-------------:|:-------------:|:-------------:|:-------------:|:--------------:|:--------------:|:-------------:|:-------------:|
| **Percent** | 35.9% | 6.1% | 8.5% | 2.5% | 3.4% | 0.6% | 37.4% | 5.6% |
### Probability Questions
Consider the following questions regarding the probability of selecting a person with certain blood types:
1. **What is the probability that a person selected randomly from the population has a blood type that is type O or Rh<sup>+</sup>?**
2. **What is the probability that a person selected randomly from the population has a blood type that contains the A antigen?**
3. **What is the probability that a person selected randomly from the population has a blood type that is type AB or Rh<sup>−</sup>?**
These questions can be answered by summing the percentages of the corresponding blood types from the table provided above.
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## Understanding Blood Types
Human blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor the B antigen is present, the letter O is used.
### Blood Types and Their Distribution
The following table gives the percent of a certain country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or −, respectively.
| Blood Types | A<sup>+</sup> | A<sup>−</sup> | B<sup>+</sup> | B<sup>−</sup> | AB<sup>+</sup> | AB<sup>−</sup> | O<sup>+</sup> | O<sup>−</sup> |
|-------------|:-------------:|:-------------:|:-------------:|:-------------:|:--------------:|:--------------:|:-------------:|:-------------:|
| **Percent** | 35.9% | 6.1% | 8.5% | 2.5% | 3.4% | 0.6% | 37.4% | 5.6% |
### Probability Questions
Consider the following questions regarding the probability of selecting a person with certain blood types:
1. **What is the probability that a person selected randomly from the population has a blood type that is type O or Rh<sup>+</sup>?**
2. **What is the probability that a person selected randomly from the population has a blood type that contains the A antigen?**
3. **What is the probability that a person selected randomly from the population has a blood type that is type AB or Rh<sup>−</sup>?**
These questions can be answered by summing the percentages of the corresponding blood types from the table provided above.
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