Find the probability that at a point chosen at random from segment ak is on segment cj.

3/10
1/5
9/10
7/10

The correct option is (D)

Step-by-step explanation:  We are given to find the probability that a point chosen at random from segment AK is on segment CJ shown in the figure.

From the figure, we note that

the length of the line segment AK = 10 - 0 = 10,

and

the length of the line segment CJ = 9 - 2 = 7.

Let, 'T' denotes the event that a point chosen at random from the line segment AK lies on the line segment CJ.

So, n(T) = 7.

If 'S' denotes the sample space for the experiment, then

n(S) = 10.

Therefore, the probability that a point chosen at random from segment AK is on segment CJ is given by

Thus, the required probability is

Option (D) is correct.