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In rural Texas, a recent study showed that 84% of the houses need a new roof; 72% of the houses have trees in the yard;

In rural Texas, a recent study showed that 84% of the houses need a new roof; 72% of the houses have trees in the yard; and 65% of the houses need a new roof and also have trees in the yard. If it needs a new roof, what is the probability that a particular house in Texas has trees in the yard ? Show your work very clearly. Round to 4 decimal place accuracy.

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