Question

1. in an experiment, you roll a six - sided die 60 times, and the number 5 appears 15 times. what is the empirical probability of rolling a 5?

a. \\( \frac{11}{10} \\)
b. 0.1
c. 0.4
d. 0.25

Explanation:

Step1: Recall empirical probability formula

Empirical probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}\)
Here, number of favorable outcomes (rolling a 5) \(n = 15\), total number of trials \(N=60\)

Step2: Calculate the probability

\(P=\frac{15}{60}\)
Simplify \(\frac{15}{60}=\frac{15\div15}{60\div15}=\frac{1}{4}=0.25\)

Answer:

d. \(0.25\)