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Tickets Numbered 1 to 20 Are Mixed up and Then a Ticket is Drawn at Random. What is the Probability that the Ticket Drawn Has a Number Which is a Multiple of 3 Or 5? - Mathematics

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MCQ

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

Options

  • `1/2`

  • `2/5`

  • `8/15`

  • `9/20`

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Solution

`9/20`
Explanation:
Here, S ={1, 2, 3, 4, ..... , 19, 20}

Let E = event of getting a multiple of 3 or 5
= {3, 6, 9, 12, 15, 18, 5, 10, 20}

∴ P(E) = `(n(E))/(n(S))=9/20`

Concept: Probability (Entrance Exam)
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