A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of the spinner landing on yellow?

A. [tex]\frac{2}{25}[/tex]
B. [tex]\frac{1}{5}[/tex]
C. [tex]\frac{1}{4}[/tex]
D. [tex]\frac{2}{5}[/tex]



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]