Injibara University
College of Natural and Computational Science
Department of Mathematics

Assignment with Presentation on Discrete Mathematics (30%)

1. Every person's blood type is A, B, AB, or O. In addition, each individual either has the Rhesus (Rh) factor (+) or does not (-). A medical technician records a person's blood type and Rh factor. List the sample space for this experiment.



Answer :

Final answer:

The sample space for blood type and Rh factor experiment includes A, B, AB, O, +, and - factors. The probabilities of having type O blood with Rh- factor and not having type O blood with Rh- factor in the African American population are 4% and 96%, respectively.


Explanation:

Sample Space for Blood Type and Rh Factor Experiment:

  • A person's blood type: A, B, AB, or O
  • Rh Factor: + (positive) or - (negative)
  • Sample Space: {A+, A-, B+, B-, AB+, AB-, O+, O-}

a. Probability of Type O blood and Rh- factor: 4% of African Americans have both type O blood and Rh- factor.

b. Probability of not having Type O blood and Rh- factor: Complement of the probability in part a, which is 1 - 4% = 96%


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