The value that is not a possible probability is B. 1.001, as probabilities can only range from 0 to 1. All other options—A. 16 1 , C. 0.82, and D. 100 10 —are valid probabilities. Therefore, the correct answer is B. 1.001.
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In probability theory, the value of a probability must always be between 0 and 1, inclusive. This means that a probability value can be 0, 1, or any fraction or decimal between them, but it cannot be less than 0 or greater than 1.
Let's examine the options one by one to determine which is not a possible probability value:
A. 16 1
This is a fraction, which is equivalent to 0.0625 when written as a decimal. Since 0.0625 is between 0 and 1, this is a possible probability value.
B. 1.001
This is a decimal number that is greater than 1. Probability values cannot be greater than 1, so this is not a possible probability value.
C. 0.82
This is a decimal number clearly between 0 and 1, making it a valid probability value.
D. 100 10
This fraction simplifies to 0.1, which is a valid probability value since it falls between 0 and 1.
Therefore, the correct choice for a value that is not a possible probability is B. 1.001 .