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which of the following is not a possible value for a probability? a. \\…

Question

which of the following is not a possible value for a probability?
a. \\(\frac{10}{100}\\)
b. \\(\frac{1}{15}\\)
c. 0.82
d. 1.001

Explanation:

Step1: Recall probability range

Probability values must be between 0 and 1 (inclusive), i.e., \(0 \leq P \leq 1\).

Step2: Analyze each option

  • Option A: \(\frac{10}{100} = 0.1\), which is between 0 and 1.
  • Option B: \(\frac{1}{15} \approx 0.067\), between 0 and 1.
  • Option C: \(0.82\), between 0 and 1.
  • Option D: \(1.001\), which is greater than 1, so it's not a valid probability.

Answer:

D. 1.001