Suppose you pick and replace marbles from a bag, one after another. If the bag contains 3 red marbles, 3 white marbles, and 6 blue marbles, what is the probability of
picking a red marble and then a blue marble?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?