Question

a six - sided, fair number cube is rolled 100 times as part of an experiment. the frequency of the roll of the number 3 is 20. which statement about rolling a 3 is correct? the theoretical probability is 1/6. the experimental probability is 1/6. the theoretical probability is 1/5. the experimental probability is 1/6. the theoretical probability is 1/6. the experimental probability is 1/5. the theoretical probability is 1/5. the experimental probability is 1/5.

Explanation:

Step1: Calculate theoretical probability

For a fair six - sided number cube, the theoretical probability of rolling a 3 is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 3) out of 6 possible outcomes (numbers 1 - 6).

Step2: Calculate experimental probability

The experimental probability is calculated as $\frac{\text{number of times 3 was rolled}}{\text{total number of rolls}}$. Given that 3 was rolled 20 times out of 100 rolls, the experimental probability is $\frac{20}{100}=\frac{1}{5}$.

Answer:

The theoretical probability is 1/6. The experimental probability is 1/5.