To determine which of the following values is not a possible value for a probability, we need to remember that probabilities must be between 0 and 1, inclusive. This means that any valid probability value can be as low as 0 or as high as 1 but can never be less than 0 or greater than 1.
Let's evaluate each of the given values:
A. [tex]\(\frac{1}{16}\)[/tex]:
[tex]\[
\frac{1}{16} \approx 0.0625
\][/tex]
This value is between 0 and 1, so it is a valid probability.
B. 0.001:
[tex]\[
0.001
\][/tex]
This value is also between 0 and 1, so it is a valid probability.
C. 0.82:
[tex]\[
0.82
\][/tex]
This value is between 0 and 1, so it is a valid probability.
D. [tex]\(\frac{5}{4}\)[/tex]:
[tex]\[
\frac{5}{4} = 1.25
\][/tex]
This value is greater than 1, so it is not a valid probability.
Therefore, the value which is not a possible value for a probability is:
[tex]\[
\boxed{1.25}
\][/tex]
