Question

jonas is conducting an experiment using a 10 - sided die. he determines that the theoretical probability of rolling a 3 is \\( \frac { 1 } { 10 } \\). he rolls the die 20 times. four of those rolls result in a 3. which adjustment can jonas make to his experiment so the theoretical and experimental probabilities are likely to be closer? he can decrease the sample space. he can increase the sample space. he can increase the number of trials. he can decrease the number of trials.

Explanation:

Step1: Recall the relationship between experimental probability and number of trials

The more trials are conducted in an experiment, the closer the experimental probability gets to the theoretical probability.

Step2: Analyze each option

• Option1: Decreasing the sample space has no relation to making experimental probability closer to theoretical probability.
• Option2: Increasing the sample space has no relation to making experimental probability closer to theoretical probability.
• Option3: Increasing the number of trials will make the experimental probability closer to the theoretical probability.
• Option4: Decreasing the number of trials will make the experimental probability less close to the theoretical probability.

Answer:

He can increase the number of trials.