Question

question 9 of 10
which of the following is not a possible value for a probability?
a. 0.001
b. \\( \frac { 1 } { 16 } \\)
c. \\( \frac { 11 } { 10 } \\)
d. \\( \frac { 1 } { 10 } \\)

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: \(0.001\), since \(0 < 0.001<1\), it can be a probability value.
• Option B: \(\frac{1}{16}=0.0625\), since \(0 < 0.0625<1\), it can be a probability value.
• Option C: \(\frac{11}{10}=1.1\), since \(1.1>1\), it cannot be a probability value.
• Option D: \(\frac{1}{10} = 0.1\), since \(0 < 0.1<1\), it can be a probability value.

Answer:

C. \(\frac{11}{10}\)