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.
Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
In the figure above, the length of line A B is 2 times x and the length of line B C is 3 times x. If a point is chosen at random from line A C, what is the probability that the point will lie on line B C?
(A) 2 over 5
(B) 1 over 2
(C) 3 over 5
(D) 2 over 3
(E) 5 over 6
