if you randomly select a letter from the phrase \mathletes rule the world,\ what is the probability that a…

if you randomly select a letter from the phrase \mathletes rule the world,\ what is the probability that a vowel is randomly selected? leave your answer as a reduced fraction.

if you randomly select a letter from the phrase \mathletes rule the world,\ what is the probability that a vowel is randomly selected? leave your answer as a reduced fraction.

Answer

Explanation:

Step1: Count total letters

The phrase "Mathletes rule the world" has 19 letters.

Step2: Count vowels

The vowels in the phrase are 'a', 'e', 'u', 'e', 'e', 'o', 'e' which is 7 vowels.

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$, so the probability of selecting a vowel is $\frac{7}{19}$.

Answer:

$\frac{7}{19}$