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A letter is chosen at random from all the letters of the English alphabets. The probability that the letter chosen is a vowel, is ______. - Mathematics

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Question

A letter is chosen at random from all the letters of the English alphabets. The probability that the letter chosen is a vowel, is ______.

Options

  • `4/26`

  • `5/26`

  • `21/26`

  • `5/24`

MCQ
Fill in the Blanks

Solution

A letter is chosen at random from all the letters of the English alphabets. The probability that the letter chosen is a vowel, is `underlinebb(5/26)`.

Explanation:

Total number of letters in English alphabets

n(S) = 26

Let E = Letter chosen is a vowel = {a, e, i, o, u}

∴ n(E) = 5

∴ Required Probability

P(E) = `(n(E))/(n(S)) = 5/26`

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