Form the word POSSESSIVE ,a letter is chosen at random. The probability of it to be S is

Options

A. `(3)/(10)`
B. `(4)/(10)`
C. `(3)/(6)`
D. `(4)/(6)`

Answer

To find the probability of randomly selecting the letter 'S' from the word "POSSESSIVE", we can follow these steps:

### Step-by-Step Solution:

1. **Identify the total number of letters in the word "POSSESSIVE".**
- The word "POSSESSIVE" consists of the following letters: P, O, S, S, E, S, S, I, V, E.
- Count the letters: There are 10 letters in total.

2. **Count the number of times the letter 'S' appears in the word.**
- In the word "POSSESSIVE", the letter 'S' appears 4 times.

3. **Use the probability formula.**
- The formula for probability is given by:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

4. **Substitute the values into the formula.**
- Number of favorable outcomes (for 'S') = 4
- Total number of outcomes = 10
- Therefore, the probability of selecting 'S' is:
\[ \text{Probability of 'S'} = \frac{4}{10} \]

5. **Simplify the fraction.**
- To simplify \(\frac{4}{10}\), divide both the numerator and the denominator by 2:
\[ \frac{4 \div 2}{10 \div 2} = \frac{2}{5} \]

6. **Conclusion.**
- The probability of randomly selecting the letter 'S' from the word "POSSESSIVE" is \(\frac{2}{5}\).

### Final Answer:
The probability of selecting the letter 'S' is \(\frac{2}{5}\).