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