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A number is chosen at random from the whole numbers 1 to 30. What is the probability that it is a multiple of 3 or a multiple of 5?

Competition practiceData & Probability
  • A8/15
  • B1/2
  • C7/15
  • D2/5

Step-by-Step Solution

Multiples of 3 up to 30: 10 numbers. Multiples of 5: 6 numbers. Multiples of 15 counted twice: 2 numbers. Favourable = 10 + 6 − 2 = 14, so the probability is 14/30 = 7/15.
Answer: C) 7/15

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