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

Vowels (a, e, i, o, u) are: in "Sean" - e, a; "wants" - a; "to" - o; "eat" - e, a; "at" - a; "Olive" - O, i, e; "Garden" - a, e. Total 11 vowels.

Step3: Calculate probability

Probability formula: $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{11}{31}$.

Answer:

$\frac{11}{31}$