<span title="Probability??????????????????~~~~~~~~~~~~~~?">Probability??????????????...</span>

Question

A point Z on line xy is chosen at random, and W is between X and Y. If XY = 8 and XW = 2, what is the probability that Z is on line xw?

Answer 1

The line would look something like this:

X------------W--------------Y

[________] = 2

[_________________] = 8

Z can be anywhere in the line XY. The odds of it also being on the line XW is equal to how much of XY line XW takes up. Thus 2/8 = .25 = 25% probability.