Question

question 7 of 10
which of the following is not a possible value for a probability?
a. $\frac{11}{10}$
b. $\frac{1}{10}$
c. $\frac{1}{16}$
d. 0.001

Explanation:

Step1: Recall the range of probability values

The probability \(P\) of an event satisfies \(0\leq P\leq1\).

Step2: Analyze each option

• Option A: \(\frac{11}{10}=1.1> 1\).
• Option B: \(\frac{1}{10}=0.1\), and \(0\leq0.1\leq1\).
• Option C: \(\frac{1}{16}=0.0625\), and \(0\leq0.0625\leq1\).
• Option D: \(0.001\), and \(0\leq0.001\leq1\).

Since \(\frac{11}{10}>1\), it is not a possible value for a probability.

Answer:

A. $\frac{11}{10}$