a six - sided, fair number cube is rolled 100 times as part of an experiment. the frequency of the roll of…

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.

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.

Answer

Answer:

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

Explanation:

Step1: Calculate theoretical probability

A fair six - sided cube has 6 possible outcomes. The probability of rolling a 3 (theoretical) is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 3) out of 6 total outcomes.

Step2: Calculate experimental probability

The cube is rolled 100 times and 3 is rolled 20 times. Experimental probability = $\frac{\text{Number of times 3 is rolled}}{\text{Total number of rolls}}=\frac{20}{100}=\frac{1}{5}$.