SOLUTION: Five of 10 new buildings in a city violate the building code. A random sample of three buildings is selected for inspection. (a) What is the probability of none of the buildings

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Question 1166953: Five of 10 new buildings in a city violate the building code. A random sample of three buildings is selected for inspection.
(a) What is the probability of none of the buildings that violate the building code in a sample of 3 buildings?
(b) What is the probability of at least one of the new buildings that violate the building code in a sample of 3 buildings?
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

This problem is a TWIN to the problem which I solved 5 minutes ago

https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1166954.html

https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1166954.html


It is solved by the same way.

So, I will not go to explanations and will write the final formulas and the answer directly 

(a)  P = %285%2F10%29%2A%284%2F9%29%2A%283%2F8%29 = 60%2F720 = 1%2F12.


(b)  P = the complement to the value from (a) = 11%2F12.

Solved.