To determine which numbers could be used to represent the probability of an event, let's evaluate each option:
A. [tex]\(\frac{15}{15}\)[/tex]:
[tex]\[
\frac{15}{15} = 1
\][/tex]
Since probability values can range from 0 to 1, including 1, this value is valid.
B. [tex]\(-0.0009\)[/tex]:
[tex]\[
-0.0009
\][/tex]
Since probability values must be between 0 and 1, [tex]\(-0.0009\)[/tex] is not a valid probability value because it is less than 0.
C. [tex]\(0\)[/tex]:
[tex]\[
0
\][/tex]
Since probability values can range from 0 to 1, including 0, this value is valid.
D. [tex]\(333.3\%\)[/tex]:
[tex]\[
333.3\% = \frac{333.3}{100} = 3.333
\][/tex]
Since probability values must be between 0 and 1, 3.333 is not a valid probability value because it is greater than 1.
E. [tex]\(\frac{120}{101}\)[/tex]:
[tex]\[
\frac{120}{101} \approx 1.188
\][/tex]
Since probability values must be between 0 and 1, [tex]\(\frac{120}{101}\)[/tex] is not a valid probability value because it is greater than 1.
F. [tex]\(2.3\)[/tex]:
[tex]\[
2.3
\][/tex]
Since probability values must be between 0 and 1, 2.3 is not a valid probability value because it is greater than 1.
Hence, the numbers that could be used to represent the probability of an event are:
- A. [tex]\(\frac{15}{15}\)[/tex]
- C. [tex]\(0\)[/tex]
