To calculate the probability of selecting the letter A from the box of letter tiles H, O, N, E, S, T, we first need to determine how many tiles are available and how many of them are the letter A.
The set of tiles consists of:
- H
- O
- N
- E
- S
- T
None of the tiles is the letter A. Thus, the number of tiles is 6 (H, O, N, E, S, T), and the number of favorable outcomes (selecting A) is 0 since A is not present.
The probability \( P \) of selecting letter A can be calculated using the formula:
\[ P(\text{A}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
Substituting the values:
\[ P(\text{A}) = \frac{0}{6} = 0 \]
Therefore, the probability of selecting the letter A is 0.