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 22% of adults have blood type A, 26% of adults have blood type B, 34% of adults have blood type AB, and 18% of adults have blood type O. The tree diagram shows the possible outcomes for Brian and Jennifer along with their associated probabilities. What is the probability that Brian and Jennifer share the same blood type? Give your answer as a decimal, precise to at least two decimal places.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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 22% of adults have blood type A, 26% of adults have blood type B, 34% of adults have blood type AB, and 18% of adults have blood type O. The tree diagram shows the possible outcomes for Brian and Jennifer along with their associated probabilities.

What is the probability that Brian and Jennifer share the same blood type? Give your answer as a decimal, precise to at least two decimal places.

 
Pet allergy
Test result
status
Positive
0.85
Pet
allergy
0.16
0.15
Negative
Positive
0.04
0.84
No pet
allergy
0.96
Negative
Transcribed Image Text:Pet allergy Test result status Positive 0.85 Pet allergy 0.16 0.15 Negative Positive 0.04 0.84 No pet allergy 0.96 Negative
Expert Solution
Step 1

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Given, study shows that, 

22% of the adults have blood type A

26% of the adults have blood type B

34% of the adults have blood type AB

18% of the adults have blood type O

 

 

 

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