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 an odd number and B is selecting a marble that is not green. Let's start by calculating the probability of the rolling an odd number. Note that there are 3 odd numbers on a number cube.
P(A)&=3/6 l← odd numbers on a number cube ←possible outcomes
Let's now find the probability of selecting a marble that is not green. In the given bag, we have 6 marbles of a different color than green and 8 marbles in total.
P(B)&=6/8 l←not green marbles ←possible outcomes
Finally, we multiply P(A) and P(B).
