A probability is a measure of the likelihood that an event will occur and it ranges from 0 to 1, inclusive. This means that any valid probability must satisfy \(0 \leq P \leq 1\).
Let's analyze each of the given options to determine which one is not a possible value for a probability:
- Option A: \(\frac{11}{10}\)
\(\frac{11}{10}\) is a fraction that equals 1.1 when converted to a decimal. Since 1.1 is greater than 1, it does not fall within the range of allowable probability values. Therefore, \(\frac{11}{10}\) is not a possible value for a probability.
- Option B: \(\frac{1}{10}\)
\(\frac{1}{10}\) is a fraction that equals 0.1 when converted to a decimal. Since 0.1 falls between 0 and 1, it is a valid probability value.
- Option C: \(\frac{1}{16}\)
\(\frac{1}{16}\) is a fraction that equals 0.0625 when converted to a decimal. Since 0.0625 falls between 0 and 1, it is a valid probability value.
- Option D: 0.001
0.001 is already in decimal form and falls between 0 and 1. Hence, it is a valid probability value.
Given the analysis, the only option that is not a possible value for a probability is:
Option A: \(\frac{11}{10}\)
So, the correct answer is:
1.
