A large apartment complex may house as many as 500 tenants. Maintenance of the units is a full-time job. Most tenants treat their apartments with care, but some do not. To schedule maintenance work-loads, one apartment complex tracks the probability of damage to their units. For their 300 tenant complex, 150 tenants are undergraduate students, 75 are graduate students, and 75 are working people. Five percent of undergraduate student tenants may damage their apartments, while only 1 percent of each of the other two categories of tenants will damage theirs. What is the probability that when inspecting an apartment, that particular apartment will have been damaged?

Question

11-07-2024
Mathematics

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A large apartment complex may house as many as 500 tenants. Maintenance of the units is a full-time job. Most tenants treat their apartments with care, but some do not. To schedule maintenance work-loads, one apartment complex tracks the probability of damage to their units. For their 300 tenant complex, 150 tenants are undergraduate students, 75 are graduate students, and 75 are working people. Five percent of undergraduate student tenants may damage their apartments, while only 1 percent of each of the other two categories of tenants will damage theirs. What is the probability that when inspecting an apartment, that particular apartment will have been damaged?

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