The two events described in this exercise are rolling a number cube and selecting a marble at random from the given bag. Neither of these events affects the probability of the other so these are independent events. If two events are independent, then the probability of both occurring is the product of their individual probabilities.
P(AandB)=P(A)* P(B)
Here, A is rolling 1 and B is selecting a red marble. Let's start by calculating the probability of the rolling 1 on a number cube.
P(A)&=1/6 l← 1on a number cube ←possible outcomes
Let's now find the probability of selecting a red marble. In the given bag, we have 2 red marbles and 8 marbles in total.
P(B)&=2/8 l←red marbles ←possible outcomes
Finally, we multiply P(A) and P(B).
