Question

suppose a letter is chosen at random from the word theoretical. find the theoretical probability that the letter is a vowel. round your answer to the nearest whole number.
a. 75%
b. 45%
c. 30%
d. 55%

Explanation:

Step1: Count total letters

The word "THEORETICAL" has 11 letters.

Step2: Count vowels in the word

Vowels are O, E, E, I, A, O → total 6 vowels.

Step3: Calculate probability

$\text{Probability} = \frac{\text{Number of vowels}}{\text{Total number of letters}} = \frac{6}{11}$

Step4: Convert to percentage

$\frac{6}{11} \times 100 \approx 54.55\%$, rounded to the nearest whole number is 55%.

Answer:

D. 55%