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 28% of adults have blood type A, 21% of adults have blood type B, 34% of adults have blood type AB, and 17% 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. ?(Brian and Jennifer have the same blood type) =

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 28% of adults have blood type A, 21% of adults have blood type B, 34% of adults have blood type AB, and 17% 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.

?(Brian and Jennifer have the same blood type) =
 
 
 

Suppose a county’s recent health report gives a pet allergy prevalence of 0.15 for kids. There is a new at-home test kit for pet allergies on the market that provides families with a convenient way to test if children have a pet allergy. The probability that the test gives a positive result when a child really does not have a pet allergy is 0.07. The probability that the test gives a negative result when a child really does have a pet allergy is 0.22. The tree diagram shows the possible outcomes with the associated probabilities.

What is the probability of an incorrect test result? Give your answer as a decimal precise to two decimal places.

?(incorrect test result)=
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