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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 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?

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The probability that they both have type A: 0.29 x 0.29 = 0.0841

The probability that they both have type A: 0.35 x 0.35 = 0.1225

The probability that they both have type AB: 0.24 x 0.24 = 0.0576

The probability that they both have type O: 0.12 x 0.12 = 0.0144

The probability that they both have the same:

0.0841 + 0.1225 + 0.0576 + 0.0144 = 0.2786

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