Advanced Problems
DIRECTIONS: Use the links below to find information to answer the questions that follow. Remember, these links will provide information; you must apply this information to answer the questions. (After all, these are advanced problems!) Please show all work and answer the questions as completely as possible.
http://www.givelife2.org/aboutblood/faq.asp#5
1. In the Tale of Two Babies activity both Penelope and Erma had Type B blood. Suppose two individuals from the United States are selected at random. What is the probability that the two individuals would both have Type B blood?
2a. In this activity, Penelope’s suitors each had a different blood
type (A, B, AB, and O.) Suppose four individuals from the United
States are selected at random. What is the probability that these
four people would have four different blood types (A, B, AB, and
O)?
b. What is the probability that two people will have Type A blood and two people will not have Type A blood?
c. What is the probability that none of the four people have type B blood.?
d. What is the probability that at least three of the four people have Type AB blood?
3a. Rh factor was not an issue in this story. (All of the individuals were actually Rh negative. Suppose nine people are selected at random from the United States. What is the probability that all nine people are Rh negative?
b. What is the probability that at least four of the nine people are Rh positive?
4. Do you feel that the nine people in this Tale reflect a random sample of the U.S. population? Explain why or why not?
5. Suppose East Nottareal has a population of around 175,000 people. This population mimics the U.S. population with regard to distribution of blood types.
a. Approximately how many people in East Nottareal have Type O blood?
b. Approximately how many people in East Nottareal have Type AB-positive blood?
c. Approximately how many people in East Nottareal can receive blood from someone who is Type B negative?
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