Question

alberto conducted an experiment by rolling a fair six - sided number cube 60 times. he rolled a 2 fifteen times. which statement about rolling a 2 in albertos experiment is correct?

• the experimental probability of rolling a 2 is $\frac{1}{3}$ and the theoretical probability of rolling a 2 is $\frac{1}{4}$.
• the experimental probability of rolling a 2 is $\frac{1}{4}$ and the theoretical probability of rolling a 2 is $\frac{1}{3}$.
• the experimental probability of rolling a 2 is $\frac{1}{4}$ and the theoretical probability of rolling a 2 is $\frac{1}{6}$.
• the experimental probability of rolling a 2 is $\frac{1}{6}$ and the theoretical probability of rolling a 2 is $\frac{1}{4}$.

Explanation:

Step1: Calculate experimental probability

Experimental probability = $\frac{\text{Number of times 2 was rolled}}{\text{Total number of rolls}} = \frac{15}{60} = \frac{1}{4}$

Step2: Calculate theoretical probability

Theoretical probability = $\frac{\text{Number of favorable outcomes}}{\text{Total possible outcomes}} = \frac{1}{6}$

Answer:

C. The experimental probability of rolling a 2 is $\frac{1}{4}$ and the theoretical probability of rolling a 2 is $\frac{1}{6}$.