GATE 2019 EC – Question 30

Let $Z$ be an exponential random variable with mean 1. That is, the cumulative distribution function of $Z$ is given by

$$F_Z(x)=\begin{cases}1-e^{-x}&\text{if }x\ge0\\0&\text{if }x<0\end{cases}$$

Then $\Pr(Z>2\,|\,Z>1)$, rounded off to two decimal places, is equal to ________.