A line segment with endpoints A and B is 10 units long. A point P is chosen at random on the line segment. What is the probability that P is less than 3 units from point A?

Question

*
1/10
3/10
1/2
2/5

Answer 1

To find the probability that P is less than 3 units from point A, we need to consider the range in which P can fall.

Since the line segment AB is 10 units long, point P can be located between 0 and 10 units from point A.

For point P to be less than 3 units from point A, P can be anywhere from 0 to 3 units from point A (not including 0 and including 3).

This range is from 0 to 3 units, out of the total length of 10 units.

Therefore, the probability that P is less than 3 units from point A is 3 units / 10 units = 3/10.

Therefore, the correct answer is: 3/10.