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three contractors a b c have constructed buildings in a society in which 2%3%and 4% of the buildings
constructed respectively by a b c have water leakage in the building if they have constructed 50%30%20%
of the buildings in a society respectively a building is selected and found that it has water leakage
interpret which contractor would you guess did construct the building
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Your writing/printing is terrible.
I will not edit it, since I just tired to edit after visitors.
This problem is about conditional probability.
They want you find three conditional probabilities
P(leakage is from A given that there is a leakage)
P(leakage is from B given that there is a leakage)
P(leakage is from C given that there is a leakage)
then compare these values and select the maximum of the three.
P(leakage is from A given that there is a leakage) = = 0.3704,
P(leakage is from B given that there is a leakage) = = 0.3333,
P(leakage is from C given that there is a leakage) = = 0.2963.
Of these three probabilities, the greatest is from A; so, we can suspect that the leakage is from A.
The structure of these formulas is the same: the denominator is the probability
having a leakage (from any of the three buildings);
the numerators are individual probabilities having leakage from A, B, or C, respectively.
Since the denominator is the same in all three formulas, we could cut down our calculations for this problem
by computing the numerators only.
But I did the full job in order for the interior logic be CLEAR for the reader.
Solved, with complete explanations.