Conditional probability and distribution

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Let Y ∼ Exp(1/5). Find P(Y ≤ 18|Y > 13).

Could anyone give me any hints?

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Hint: you know that $$P(A|B) = \frac{P(A\wedge B)}{P(B)}.$$

What are $A$ and $B$ in your case? What is $A$ and $B$ (written as $A\wedge B$)? Edit your answer with the answers to these questions and I will help some more.