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AP EAMCET202316 May 2023Morning ShiftMathematicsProbabilityActual

If one ticket is selected at random from 30 tickets each with a distinct number from 1 to 30 , then the probability that the number on the selected ticket is a multiple of 3 or 5 is

Options

  1. A14 31
  2. B7 30
  3. C14 15
  4. D7 15

Correct answer

D. 7 15

Step-by-step solution

No. of total events =30 Multiples of 3 are 3,6,9,12,15,18,21 , 24,27,30 Multiples of 5 are 5,10,15,20,25,30 Then multiples of 3 or 5 are : 3,5,6,9,10,12,15 , 18,20,21,24,25,27,30 No. of favourable events =14 The required probability = No. of favourable events No. of total events = 14 30 = 7 15

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