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. 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. 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.

0.29 0.35 0.24 0.12 Brian's blood type Jennifer's blood type 0.29 0.35 B 0.24 AB 0.12 0.29 0.35 B B 0.24 AB 0.12 0.29 0.35 B AB 0.24 AB 0.12 0.29 0.35 B 0.24 AB 0.12

Explanation / Answer

Probability that both Brian's and Jennifer's Blood type is A = 0.29 * 0.29 = 0.0841

Probability that both Brian's and Jennifer's Blood type is B = 0.35 * 0.35 = 0.1225

Probability that both Brian's and Jennifer's Blood type is AB = 0.24 * 0.24 = 0.0576

Probability that both Brian's and Jennifer's Blood type is O = 0.12 * 0.12 = 0.0144

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