To determine the probability of selecting the letter "A" from the shuffled letter tiles H, O, N, E, S, T, we first need to count how many letters are present.
The letters are: H, O, N, E, S, T.
There are a total of 6 letters, and there is no letter "A" among them.
The probability \( P \) of selecting an "A" can be calculated using the formula:
\[ P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case:
- The number of favorable outcomes (selecting "A") is 0 (since "A" is not present).
- The total number of outcomes (total letters) is 6.
So,
\[ P(A) = \frac{0}{6} = 0 \]
Therefore, the probability of selecting the letter "A" is:
B) 0