Communication Gap..

Gen 2-3
Within this text, we see the creation of man and woman. The first marriage was instituted by God. We also see the first sin. I was struck by the fact that in Scripture, it never directly says that God reiterated to Eve His command to not eat from the Tree of the Knowledge of Good and Evil. It only states that He told man (meaning Adam) the command. So I cannot help but wonder if a communication breakdown happened in the Garden. Eve states to the serpent in Gen 3:2-3 that God commanded that she and Adam couldn't eat or EVEN TOUCH the fruit of the tree or they would surely die. Why did she add the touching part? Did Adam tell his wife "Now honey, you see that beautiful tree in the middle of the Garden? God said we can't eat the fruit or we will die. On second thought, just don't even touch it!" Why did God leave the command only for Adam and not for Eve? Did he expect the husband to communicate the order effectively and clearly? How was Eve supposed to know the original command if she hadn't yet been created when it was given?

Does the communication gap between the sexes date all the way back to the Garden of Eden? Perhaps the first lie that was told in the Garden wasn't told by the serpent...