Use the table to answer the question.

This table shows the probability of selecting a vowel letter from the word MODELS
Letters M O D E L S
Probability 1/6
1/6
1/6
1/6
1/6
1/6

Use the uniform probability model to find the probability of selecting a vowel letter from the word MODELS
.

(1 point)
Responses

136
Start Fraction 1 over 36 End Fraction

13
Start Fraction 1 over 3 End Fraction

16
Start Fraction 1 over 6 End Fraction

2/3

1 answer

In the word "MODELS," the vowel letters are 'O' and 'E'. There are a total of 6 letters in the word.

Since the probability model is uniform, each letter has the same probability of being selected, which is \( \frac{1}{6} \).

Now, to find the probability of selecting a vowel letter, we need to sum the probabilities of selecting 'O' and 'E':

\[ P(\text{vowel}) = P(O) + P(E) = \frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3} \]

Thus, the probability of selecting a vowel letter from the word "MODELS" is:

Start Fraction 1 over 3 End Fraction.