Acola manufacturer produces 3 different types of colas: regular, diet, and cherry. for every cherry cola produced, 6 diet and 10 regular colas are also produced. what is the probability that a cola taken randomly from the factory will be a regular cola

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?