Question

1. in an experiment, you draw marbles 100 times, and the empirical probability of drawing a red marble is 0.4. how many times did you draw a red marble? a 60 b. 50 c. 30 d. 40

Explanation:

Step1: Recall the formula for empirical probability

Empirical probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}\). Let \(x\) be the number of times a red marble is drawn. Here, \(P = 0.4\) and total number of trials \(n=100\). So, \(0.4=\frac{x}{100}\).

Step2: Solve for \(x\)

Multiply both sides of the equation \(0.4=\frac{x}{100}\) by \(100\). We get \(x=0.4\times100\).

Answer:

\(x = 40\), so the answer is d. 40.