(i) We know that,
Probability of occurrence of an event
= \(\frac{Total\,no.of\,Desired\,outcomes}{Total\,no.of\,outcomes}\)
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 = \(\frac{5}{26}\)
Conclusion: Probability of choosing a vowel is \(\frac{5}{26}\)
(ii) We know that,
Probability of occurrence of an event
= \(\frac{Total\,no.of\,Desired\,outcomes}{Total\,no.of\,outcomes}\)
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 = \(\frac{21}{26}\)
Conclusion: Probability of choosing a consonant is \(\frac{21}{26}\)