To determine the experimental probability of the spinner landing on yellow, let's follow the steps:
1. Identify the Total Number of Trials:
According to the problem, the spinner was spun a total of 50 times.
2. Identify the Number of Times Yellow Was Selected:
Yellow was selected 10 times out of these 50 trials.
3. Calculate the Experimental Probability:
The experimental probability can be found by dividing the number of times yellow was selected by the total number of trials:
[tex]\[
P(\text{Yellow}) = \frac{\text{Number of times yellow was selected}}{\text{Total number of trials}} = \frac{10}{50}
\][/tex]
4. Simplify the Fraction:
Simplify [tex]\(\frac{10}{50}\)[/tex] to its simplest form:
[tex]\[
\frac{10}{50} = \frac{1}{5}
\][/tex]
5. Comparison with Given Options:
- [tex]\(\frac{2}{25} = 0.08\)[/tex]
- [tex]\(\frac{1}{5} = 0.2\)[/tex]
- [tex]\(\frac{1}{4} = 0.25\)[/tex]
- [tex]\(\frac{2}{5} = 0.4\)[/tex]
The simplified probability, [tex]\(\frac{1}{5}\)[/tex], is equal to 0.2.
Therefore, the experimental probability of the spinner landing on yellow is [tex]\(\frac{1}{5}\)[/tex] which corresponds to option [tex]\(\frac{1}{5}\)[/tex].
