A letter is to be picked at random from the English alphabet. If each letter is equally likely to be selected, what is the probability of selecting a consonant? Consonants are letters except for a, e, i, o, and u. Write your answer in the simplest form of fraction.

Question

A letter is to be picked at random from the English alphabet. If each letter is equally likely to be selected, what is the probability of selecting a consonant? Consonants are letters except for a, e, i, o, and u. Write your answer in the simplest form of fraction.

Answer 1

There are 26 letters in the English alphabet, and 5 of them are vowels. Therefore, there are 26 - 5 = 21 consonants.

The probability of selecting a consonant is equal to the number of consonants divided by the total number of letters:

P(consonant) = 21/26

This fraction is already in its simplest form, so the final answer is:

P(consonant) = 21/26

Answer 2

A number from the list {2, 4, 5, 7, 9, 10, 12, 15, 18, 20} is to be picked at random. What is the probability of getting an even number? Write your answer in the simplest form of fraction.