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Mathematics

A letter is chosen from the word 'TRIANGLE'. What is the probability that it is a vowel?

Probability

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Answer

Vowels in 'TRIANGLE' = 'I', 'A', 'E'.

No. of letters in 'TRIANGLE' = 8.

Let E1 be the event of choosing a vowel, then number of favourable outcomes to E1 = 3

P(E1)=No. of favourable outcomes to E1Total no. of possible outcomes=38.P(E1) = \dfrac{\text{No. of favourable outcomes to } E1}{\text{Total no. of possible outcomes}} = \dfrac{3}{8}.

Hence, the probability of choosing a vowel is 38\dfrac{3}{8}.

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