An experiment consists of rolling a die and then flipping a coin. The following tree diagram shows the possible outcomes.
A tree diagram in which a center point branches to numbers 1 through 6, which each branch to an H & T.
What is the probability of rolling an even number or flipping a tail?

Enter your answer as a reduced fraction, like this: 3/14

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?