Brian and Jennifer are planning to get married at the end of the year. They read that certain diets are healthier for specific blood types and hope that they both have the same blood type. Unfortunately, neither Brian nor Jennifer can remember their blood type. Suppose a recent study shows that 29% of adults have blood type A, 35% of adults have blood type B, 24% of adults have blood type AB, and 12% of adults have blood type O. The tree diagram shows the possible outcomes for Brian and Jennifer along with their associated probabilities

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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Brian and Jennifer are planning to get married at the end of
Brian's blood type
Jennifer's blood type
the year. They read that certain diets are healthier for specific
A
0.29
blood types and hope that they both have the same blood type.
Unfortunately, neither Brian nor Jennifer can remember their
blood type.
- B
-0.35-
-0.24.
- AB
0.12.
Suppose a recent study shows that 29% of adults have blood
type A, 35% of adults have blood type B, 24% of adults have
blood type AB, and 12% of adults have blood type O. The tree
A
0.29
0.29
В
-0.35
-0.24.
AB
diagram shows the possible outcomes for Brian and Jennifer
0.12
0.35
along with their associated probabilities.
What is the probability that Brian and Jennifer share the same
0.29
0.24.
-B
blood type? Give your answer as a decimal, precise to at least
0.35-
AB
-0.24.
two decimal places.
-AB
0.12.
0.12
P(Brian and Jennifer have the same blood type) =
0.29
B
-0.35
-0.24
AB
0.12.
Transcribed Image Text:Brian and Jennifer are planning to get married at the end of Brian's blood type Jennifer's blood type the year. They read that certain diets are healthier for specific A 0.29 blood types and hope that they both have the same blood type. Unfortunately, neither Brian nor Jennifer can remember their blood type. - B -0.35- -0.24. - AB 0.12. Suppose a recent study shows that 29% of adults have blood type A, 35% of adults have blood type B, 24% of adults have blood type AB, and 12% of adults have blood type O. The tree A 0.29 0.29 В -0.35 -0.24. AB diagram shows the possible outcomes for Brian and Jennifer 0.12 0.35 along with their associated probabilities. What is the probability that Brian and Jennifer share the same 0.29 0.24. -B blood type? Give your answer as a decimal, precise to at least 0.35- AB -0.24. two decimal places. -AB 0.12. 0.12 P(Brian and Jennifer have the same blood type) = 0.29 B -0.35 -0.24 AB 0.12.
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