Question

Two number cubes are rolled. The faces of each of the cubes are numbered 1 to 6. The results of twenty rolls are recorded in the table below. How many outcomes in this experiment had one cube landing with a 5 showing and the other number cube landing with a 1 showing?

Answer 1

The exact number of times one die showed a 5 and the other showed a 1 cannot be determined without the recorded results of the rolls. However, the theoretical probability of this occurring in a single roll of two dice is 1/18.

Step-by-step explanation:

The question seeks to determine the number of times a specific outcome occurs when two number cubes (dice) are rolled. If we have the recorded results of the dice rolls, we would be seeking the number of instances where one cube shows a 5 and the other cube shows a 1. This outcome can be represented by two possible events: (5,1) or (1,5), depending on which die shows which number.

Without the given recorded results, it is impossible to provide the exact number of times this outcome occurred; we can only calculate the theoretical probability of the event occurring in a single roll of two dice, which is ⅓ (or 2/36, as there are 36 possible outcomes when two dice are rolled and 2 favorable outcomes).