Final answer:
If considering a fair die, the probability of rolling a 1 on two consecutive rolls is 1/36. However, if using the experimental probability from the student's experience of rolling 1 eight out of ten times, the answer would be 16/25.
Step-by-step explanation:
The question asks for the probability that a number cube, which has so far landed on 1 in eight out of ten rolls, will land on 1 in the next two rolls.
Assuming a fair six-sided die, the probability of rolling a 1 on any given roll is 1/6. Since each roll is independent, the probability of rolling a 1 twice in consecutive rolls is the product of their individual probabilities: 1/6 multiplied by 1/6, which equals 1/36. None of the provided options match this value. Therefore, either it's a trick question based on the experimental results given (eight out of ten times), or there is a mistake in the question or options provided. However, if we consider the experimental probability (8/10), then the probability of rolling a 1 twice based on the student's outcome would be 8/10 multiplied by 8/10, which equals 64/100 or 16/25. In this case, the correct answer from the options provided, based on experimental probability, would be (d) {16}\{25}.