Answer
$\dfrac{2}{5}$ or, $40 \%$
Work Step by Step
We need to solve the inequality.
$-7 \leq 1-2x \leq 1 \implies 4 \geq x \geq 0$
or, $0 \leq x \leq 4$
The probability $P$ is the ratio of the distance between $0$ and $4$ to the total distance:
$P=\dfrac{|0-4|}{10}=\dfrac{2}{5}$ or, $40 \%$