Question

if you randomly select a letter from the phrase \sean wants to eat at olive garden,\ what is the probability that you select a vowel? (your answer must be in the form of a reduced fraction.)

Explanation:

Step1: Count total letters

Count all letters in "Sean wants to eat at Olive Garden". There are $31$ letters.

Step2: Count vowels

Count vowels (a, e, i, o, u). There are $11$ vowels (e, a, a, o, a, e, a, a, O, a, e).

Step3: Calculate probability

Probability formula is $\frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}$. So probability is $\frac{11}{31}$.

Answer:

$\frac{11}{31}$