Tell whether the events are independent or dependent. Then find the probability.
You roll a 6 on a number cube. Then you roll again and roll a 2.
Does the second roll depend on the outcome of the first roll? (If so, we call the events "dependent". If not, we call them "independent")
So its independent???
To determine if the events are independent or dependent, we need to consider whether the outcome of one event affects the outcome of the other event.
In this case, rolling a 6 on a number cube and then rolling a 2 are two separate events. The outcome of the first roll does not impact the outcome of the second roll. Therefore, these events are independent.
To find the probability, we need to multiply the probabilities of each event together.
The probability of rolling a 6 on a number cube is 1/6 since there are six possible outcomes, and only one of them is a 6.
The probability of rolling a 2 on a number cube is also 1/6 since there are six possible outcomes, and only one of them is a 2.
To find the probability of both events occurring, we multiply these probabilities together:
(1/6) * (1/6) = 1/36
Therefore, the probability of rolling a 6 on a number cube and then rolling a 2 is 1/36.