For several hours you watch a group playing dice on the street and you notice that the owner of the dice often wins. do you conclude that he is just very lucky? in two or more complete sentences, explain why or why not you conclude that the owner of the dice is lucky.

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?