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.(1 point)

Question

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.(1 point)
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GPT-4o mini · Answer

The English alphabet consists of 26 letters. The vowels in the English alphabet are a, e, i, o, and u, which means there are 5 vowels.

To find the number of consonants, we subtract the number of vowels from the total number of letters:

\[ \text{Number of consonants} = 26 - 5 = 21 \]

Now we can calculate the probability of selecting a consonant. The probability \( P \) is calculated as the number of favorable outcomes (selecting a consonant) divided by the total number of possible outcomes (selecting any letter):

\[ P(\text{consonant}) = \frac{\text{Number of consonants}}{\text{Total letters}} = \frac{21}{26} \]

Since 21 and 26 have no common factors other than 1, this fraction is already in its simplest form.

Thus, the probability of selecting a consonant is

\[ \frac{21}{26} \]