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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? 30 50 45 35
Step1: Recall the formula for experimental probability
Experimental probability \(P=\frac{\text{Number of successful trials}}{\text{Total number of trials}}\). Let the total number of trials be \(n\). We know that the number of successful trials (landing on green) is \(7\) and \(P = \frac{1}{5}\). So, \(\frac{1}{5}=\frac{7}{n}\).
Step2: Solve the equation for \(n\)
Cross - multiply: \(n\times1=7\times5\).
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\(n = 35\)