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Tickets numbered 1 to 25 are placed in a box and one ticket is drawn at random. What is the probability that the number on the ticket is a multiple of 3 or a multiple of 7?

Competition practiceData & Probability
  • A11/25
  • B9/25
  • C1/5
  • D2/5

Step-by-Step Solution

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24 — 8 tickets. Multiples of 7: 7, 14, 21 — 3 tickets. The number 21 is counted twice, so favourable = 8 + 3 − 1 = 10 and the probability is 10/25 = 2/5.
Answer: D) 2/5

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