Brian and Jennifer are planning to get married at the end of the year. They read

Question

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. Brian's blood type Jennifer's blood type 4AB 13 Suppose a recent study shows that 25% of adults have blood type A, 28% of adults have blood type B, 34% of adults have blood type AB, and 13% of adults have blood type O. The tree diagram shows the possible outcomes for Brian and Jennifer along with their associated probabilities. AB 13 0.28 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 34AB P(Brian and Jennifer have the same blood type)- 0.25 4AB 13

Explanation / Answer

P(Brain and Jennifer have same blood type)

=P(Brain A)*P(Jennifer A|Brain A)+P(Brain B)*P(Jennifer B|Brain B)+P(Brain AB)*P(Jennifer AB|Brain AB)+P(Brain O)*P(Jennifer O|Brain O)=0.25*0.25+0.28*0.28+0.34*0.34+0.13*0.13 =0.27

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