Q11 of 63 Page 963

If a letter is chosen at random from the English alphabet, find the probability that the letter is chosen is

(i) a vowel


(ii) a consonant


We know that,


Probability of occurrence of an event


Total possible outcomes are alphabets from a to z


Desired outcomes are a, e, i, o, u


Total no.of outcomes are 26 and desired outputs are 5


Therefore, the probability of picking a vowel


Conclusion: Probability of choosing a vowel is


(ii) We know that,


Probability of occurrence of an event


Total possible outcomes are all alphabets from a to z


Desired outcomes are all alphabets except a, e, i, o, u


Total no.of outcomes are 26 and desired outputs are 21


Therefore, the probability of picking a consonant


Conclusion: Probability of choosing a consonant is


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