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Mathematics

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

  1. (426)\Big(\dfrac{4}{26}\Big)

  2. (526)\Big(\dfrac{5}{26}\Big)

  3. (2126)\Big(\dfrac{21}{26}\Big)

  4. (524)\Big(\dfrac{5}{24}\Big)

Probability

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Answer

There are 26 letters in the English alphabet.

Total number of outcomes = 26

Let E be the event of choosing a vowel , then

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

The number of favorable outcomes to the event E = 5

∴ P(E) = Number of favorable outcomesTotal number of outcomes=526\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{5}{26}

Hence, option 2 is the correct option.

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