Question

if you randomly select a letter from the phrase \brandon loves to eat at red robin,\ what is the probability that you select a vowel? (your answer must be in the form of a reduced fraction.) p(vowel) = p(consonant) = question help: message instructor

Explanation:

Step1: Count total letters

The phrase "Brandon loves to eat at Red Robin" has 24 letters.

Step2: Count vowels

The vowels in the phrase are 'a', 'o', 'e', 'a', 'e', 'a', 'o', 'i' which is 8 vowels.

Step3: Calculate vowel probability

The probability of selecting a vowel $P(\text{vowel})$ is the number of vowels divided by the total number of letters. So $P(\text{vowel})=\frac{8}{24}=\frac{1}{3}$.

Step4: Calculate consonant probability

The number of consonants is $24 - 8=16$. So $P(\text{consonant})=\frac{16}{24}=\frac{2}{3}$.

Answer:

$P(\text{vowel})=\frac{1}{3}$
$P(\text{consonant})=\frac{2}{3}$