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Mathematics

A single letter is selected at random from the word 'Probability'. Find the probability that it is a vowel.

Probability

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Answer

The word probability has 11 letters.

∴ No. of possible outcomes = 11.

Vowel letters in 'Probability' are 'O', 'A', 'I', 'I'.

No. of favourable outcomes (of getting a vowel) = 4.

P(getting a vowel) = No. of favourable outcomesNo. of possible outcomes=411\dfrac{\text{No. of favourable outcomes}}{\text{No. of possible outcomes}} = \dfrac{4}{11}.

Hence, the probability that letter drawn is a vowel = 411\dfrac{4}{11}.

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