A letter is chosen out of the word SCHOOL. What is the probability of choosing the letter O in simplest form?

[tex]\[
\begin{array}{ll}
\text{A} & \\
\text{B} & \frac{2}{6} \\
\text{C} & \frac{1}{4} \\
\text{D} & \frac{1}{3} \\
\end{array}
\][/tex]



Answer :

To determine the probability of selecting the letter 'O' from the word "SCHOOL," let's follow these steps:

1. Count the total number of letters in "SCHOOL":
The word "SCHOOL" consists of the letters: S, C, H, O, O, L
Thus, the total number of letters is 6.

2. Count the number of times the letter 'O' appears in "SCHOOL":
Looking at the word, we can see that the letter 'O' appears twice.

3. Calculate the probability:
To find the probability of selecting the letter 'O', we divide the number of 'O's by the total number of letters.
[tex]\[ \text{Probability} = \frac{\text{Number of 'O's}}{\text{Total number of letters}} = \frac{2}{6} \][/tex]

4. Simplify the fraction:
The fraction [tex]\(\frac{2}{6}\)[/tex] can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
[tex]\[ \frac{2}{6} = \frac{2 \div 2}{6 \div 2} = \frac{1}{3} \][/tex]

Therefore, the probability of choosing the letter 'O' from the word "SCHOOL" in its simplest form is [tex]\(\boxed{\frac{1}{3}}\)[/tex].

By referring to the given answer choices, the correct option is:
[tex]\[ \text{D } \frac{1}{3} \][/tex]