Question

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?
options:

• $\frac{2}{25}$
• $\frac{1}{5}$
• $\frac{1}{4}$
• $\frac{2}{5}$

Explanation:

Step1: Recall experimental probability formula

Experimental probability of an event is given by the number of times the event occurs divided by the total number of trials. So, the formula is $P(\text{event}) = \frac{\text{Number of times event occurs}}{\text{Total number of trials}}$.

Step2: Identify values

Here, the event is the spinner landing on yellow. The number of times yellow was selected is 10, and the total number of trials is 50.

Step3: Calculate the probability

Substitute the values into the formula: $P(\text{yellow}) = \frac{10}{50}$. Simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 10. So, $\frac{10\div10}{50\div10} = \frac{1}{5}$.

Answer:

$\frac{1}{5}$ (corresponding to the option with $\frac{1}{5}$)