Final answer:
To get her experimental results closer to the predicted results, Lisa should continue with more rolls; the results will statistically align with the predicted probability as the number of rolls increases.
Step-by-step explanation:
Lisa is conducting an experiment which involves rolling a pair of number cubes numbered from 1 through 6. Rolling the sum of 12 is predicted to occur only 1 out of every 36 times. Given that Lisa has already rolled three 12s out of 10 rolls, to get her results closer to the predicted results, she should opt for option (c) Continue with more rolls; the results will eventually align. Over a small number of trials, such as 10 rolls, there is a high possibility of deviation from the predicted probability. However, as the number of rolls increases, the experimental probability tends to get closer to the theoretical probability because of the law of large numbers which states that as a trial (like rolling dice) is conducted more times, the long-term relative frequency of an outcome will converge to its theoretical probability.
This means if Lisa increases the number of rolls, her experimental results should become more consistent with the 1 out of 36 prediction for rolling a sum of 12. Options a) Increase the number of rolls to 100 and c) Continue with more rolls suggest doing this. Adjusting the dice to favor a sum of 12 as suggested in option d) would not make the dice fair, and thereby would distort the experiment's purpose which is to study the natural occurrence of the sum of 12. Therefore, continuing with more rolls is the right course of action for Lisa.