Answer
$\dfrac{3}{7}$
Work Step by Step
The probability that the point $T$ lies in the segment $\overline{AB}$ can be computed as:
$P(T \in \overline{AB})=\dfrac{AB}{AD}$
Where, $AB=6-3=3$ and $AD=10-3=7$
Now, $P(T \in \overline{AB})=\dfrac{AB}{AD}=\dfrac{6-3}{10-3}=\dfrac{3}{7}$
