Question

alisha conducted an experiment in which a spinner landed on green 7 times. if the experimental probability of the spinner landing on green is (\frac{1}{5}), how many trials did alisha perform? options: 30, 35, 45, 50

Explanation:

Step1: Recall probability formula

The experimental probability formula is $P(\text{event})=\frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}$. Let the total number of trials be $n$. We know the number of favorable outcomes (landing on green) is 7, and the probability $P=\frac{1}{5}$.

Step2: Set up the equation

Using the formula, we have $\frac{1}{5}=\frac{7}{n}$.

Step3: Solve for $n$

Cross - multiply: $n\times1 = 7\times5$. So $n = 35$.

Answer:

35