The correct answer is C

Explanation

The probability that a point chosen from line A C will lie on line B C is the ratio of the length of line B C to the length of line A C. The length of line A B is 2 times x and the length of line B C is 3 times x, so the length of line A C is 5 times x. Therefore, the ratio of the length of line B C to the length of line A C is (3 times x) over (5 times x) = 3 over 5.