8-Read the following SAT test question, then click on a button to select your answer.

figure

Note: Figure not drawn to scale.

In the figure above, the length of AB is 2x and the length of BC is 3x. If a point is chosen at random from AC, what is the probability that the point will lie on BC?

A. two over five
B. one over two
C. three over five
D. two over three
E. five over six


Correct Answer: C

* Here's Why:

The probability that a point chosen from AC will lie on BC is the ratio of the length of BC to the length of AC. The length of AB is 2x and the length of BC is 3x, so the length of AC is 5x. Therefore, the ratio of the length of BC to the length of AC is three x over five x = three over five.
* Difficulty: Medium
* Question Type: Standard Multiple Choice
(Mathematics)