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A rectangular field measures 20 m by 15 m and contains a square flower bed of side 6 m. A ball thrown high lands at a random point of the field. What is the probability that it lands outside the flower bed?

Competition practiceData & Probability
  • A22/25
  • B3/25
  • C12/35
  • D4/5

Step-by-Step Solution

Area of the field = and area of the bed = , so the favourable area is and the probability is 264/300 = 22/25. Answering 36/300 = 3/25 gives the chance of landing ON the bed — the forgotten complement — while 12/35 comes from comparing the perimeters 24 m and 70 m, which is not a valid measure for a randomly placed point.
Answer: A) 22/25

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