Question

MAGIC
What is the theoretical probability of choosing a vowel?

A.
1/3

B.
2/5

C.
3/5

D.
6/4

Answer 1

To determine the theoretical probability of choosing a vowel from the English alphabet:

1. The English alphabet has 26 letters in total.
2. The vowels in the English alphabet are A, E, I, O, and U, which gives us a total of 5 vowels.

The probability \( P \) of choosing a vowel is calculated as follows:

\[
P(\text{vowel}) = \frac{\text{Number of vowels}}{\text{Total number of letters}} = \frac{5}{26}
\]

Now, let's evaluate the options provided:

- A. 1/3
- B. 2/5
- C. 3/5
- D. 6/4 (which simplifies to 3/2)

None of the options directly equal \( \frac{5}{26} \), so the correct answer, based on the theoretical probability of choosing a vowel, is not present in the given choices.

If you are looking for the best approximation, \( \frac{2}{5} \) (which is 0.4) is close to the actual probability (approximately 0.192), but it is still not accurate.

Thus, there is no correct answer among the options given.