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?\
\\(\bigcirc\\) he can decrease the sample space.\
\\(\bigcirc\\) he can increase the sample space.\
\\(\bigcirc\\) he can decrease the number of trials.\
\\(\bigcirc\\) he can increase the number of trials.

Explanation:

The law of large numbers states that as the number of trials in a probability experiment increases, the experimental probability will approach the theoretical probability. The sample space (the set of all possible outcomes, which is 10 for a 10-sided die) does not affect this convergence; only the number of trials does. Increasing trials makes experimental results align better with theoretical probabilities.

Answer:

He can increase the number of trials.