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Mathematics

A letter of English alphabet is choosen at random. Determine probability that the letter is consonant.

Probability

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Answer

Total alphabets = 26

No. of vowels = 5

No. of consonants = 21

Let E1 be the event of choosing a consonant, then number of favourable outcomes to E1 = 21

P(E1)=No. of favourable outcomes to E1Total no. of possible outcomes=2126.P(E1) = \dfrac{\text{No. of favourable outcomes to } E1}{\text{Total no. of possible outcomes}} = \dfrac{21}{26}.

Hence, the probability of choosing a consonant is 2126\dfrac{21}{26}.

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