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Mathematics

One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is

  1. 15\dfrac{1}{5}

  2. 35\dfrac{3}{5}

  3. 45\dfrac{4}{5}

  4. 13\dfrac{1}{3}

Probability

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Answer

Sample space = {1, 2, 3, ……., 40}, with 40 equally likely outcomes.

Let A be the event that selected ticket has a number which is a multiple of 5.

∴ A = {5, 10, 15, 20, 25, 30, 35, 40}.

Hence, the number of favourable outcomes to event A = 8.

∴ P(A) = 840=15\dfrac{8}{40} = \dfrac{1}{5}.

Hence, Option 1 is the correct option.

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