[\dfrac{9}{20}] Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability

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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?

$ \dfrac{1}{2} $

$ \dfrac{2}{5} $

$ \dfrac{8}{15} $

$ \dfrac{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}.

$\therefore P\left(E\right)$ =$ \dfrac{n(E)}{n(S)} $=$ \dfrac{9}{20} $.

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