Answer :
To find the experimental probability of the spinner landing on yellow, we'll proceed with the following steps:
1. Determine the total number of trials:
The spinner was spun 50 times, so the total number of trials is [tex]\(50\)[/tex].
2. Find the number of successful trials for yellow:
Yellow was selected 10 times, so the number of successful trials (or favorable outcomes) for yellow is [tex]\(10\)[/tex].
3. Calculate the experimental probability:
The experimental probability, [tex]\(P(\text{yellow})\)[/tex], is calculated by dividing the number of successful trials by the total number of trials:
[tex]\[ P(\text{yellow}) = \frac{\text{Number of yellow outcomes}}{\text{Total number of trials}} = \frac{10}{50} \][/tex]
4. Simplify the fraction:
Simplify [tex]\(\frac{10}{50}\)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is [tex]\(10\)[/tex]:
[tex]\[ \frac{10}{50} = \frac{10 \div 10}{50 \div 10} = \frac{1}{5} \][/tex]
Thus, the experimental probability of the spinner landing on yellow is [tex]\(\frac{1}{5}\)[/tex].
The correct choice from the given options is:
[tex]\[ \boxed{\frac{1}{5}} \][/tex]
1. Determine the total number of trials:
The spinner was spun 50 times, so the total number of trials is [tex]\(50\)[/tex].
2. Find the number of successful trials for yellow:
Yellow was selected 10 times, so the number of successful trials (or favorable outcomes) for yellow is [tex]\(10\)[/tex].
3. Calculate the experimental probability:
The experimental probability, [tex]\(P(\text{yellow})\)[/tex], is calculated by dividing the number of successful trials by the total number of trials:
[tex]\[ P(\text{yellow}) = \frac{\text{Number of yellow outcomes}}{\text{Total number of trials}} = \frac{10}{50} \][/tex]
4. Simplify the fraction:
Simplify [tex]\(\frac{10}{50}\)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is [tex]\(10\)[/tex]:
[tex]\[ \frac{10}{50} = \frac{10 \div 10}{50 \div 10} = \frac{1}{5} \][/tex]
Thus, the experimental probability of the spinner landing on yellow is [tex]\(\frac{1}{5}\)[/tex].
The correct choice from the given options is:
[tex]\[ \boxed{\frac{1}{5}} \][/tex]