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Mathematics

A letter is picked at random from the letters of the word MATRICULATION. The probability that the chosen letter is a vowel, is:

  1. (25)\Big(\dfrac{2}{5}\Big)

  2. (12)\Big(\dfrac{1}{2}\Big)

  3. (613)\Big(\dfrac{6}{13}\Big)

  4. (413)\Big(\dfrac{4}{13}\Big)

Probability

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Answer

The total number of letters in the word MATRICULATION = 13

Let E be the event of choosing a vowel from word MATRICULATION, then

E = {A, I, U, A, I, O}

The number of favorable outcomes to the event E = 6

∴ P(E) = Number of favorable outcomesTotal number of outcomes=613\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{6}{13}

Hence, option 3 is the correct option.

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