Question

Line segment JM has endpoints with coordinates 0 and 25 on a number line. Points K and L are on segment JM. K has a coordinate of 5 and point L has a coordinate of 12. Find the probability that a point on JM is placed first on JL and a second point is not placed on KL.

Answer 1

• D. 216/625

Explanation:

• The length of the segment JM is 25 units.
• The segment JL is between 0 and 12, so is 12 units.
• The segment KL is between 5 and 12, so is 7 units.

The probabilities for each point:

• P(point on JL) = 12/25
• P(point not on KL) = 1 - 7/25 = 18/25

Required probability:

• P = 12/25*18/25 = 216/625

Correct choice is D