Referring to the figure, find the probability that a point A,selected randomly on line NT, is on the given segment NX, RU, & HF.Segment NT has a total of 11 points

The probability of a point to be in the given segment is :
[tex]p=\frac{\text{ number of points in the segment}}{\text{ total number of points}}[/tex]For the whole segment, NT, there are 11 points.
Segment NX has 5 points, so the probability of a point being in the segment is :
[tex]p=\frac{5}{11}[/tex]Segment RU has 3 points, the probability of a point being in the segment RU is :
[tex]p=\frac{3}{11}[/tex]Segment HF has 8 points, the probability of a point being in the segment HF is :
[tex]p=\frac{8}{11}[/tex]