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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.

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 o class=

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mhanifa

Answer:

  • D. 216/625

Step-by-step 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

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