To determine the experimental probability of landing on an even number when a die is rolled, follow these steps:
1. Identify the total number of trials: In this case, the die was rolled 20 times.
2. Identify the number of successful trials (even outcomes): The die landed on an even number 14 times.
3. Calculate the experimental probability:
Experimental probability is defined as the ratio of the number of successful outcomes to the total number of trials.
[tex]\[
\text{Experimental probability} = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}}
\][/tex]
4. Substitute the given values:
[tex]\[
\text{Experimental probability} = \frac{14 \text{ (even rolls)}}{20 \text{ (total rolls)}}
\][/tex]
5. Simplify the fraction:
[tex]\[
\frac{14}{20} = \frac{7}{10}
\][/tex]
Therefore, the experimental probability of landing on an even number is [tex]\(\frac{7}{10}\)[/tex], which can also be expressed as 0.7.
Comparing this result to the given options:
- [tex]\(\frac{7}{10}\)[/tex]
- [tex]\(\frac{3}{10}\)[/tex]
- [tex]\(\frac{1}{2}\)[/tex]
The correct answer is [tex]\(\frac{7}{10}\)[/tex].
