We aren't told explicitly, but as I said, it seems likely that she could be tricked into it. Maybe Adam would only eat it if Eve did or something, like he was codependent?

But the larger question is why the serpent wanted either or both of them to sin at all. Again we're not told, but from the whole of scripture I have a scenario I think is plausible:

When Jesus was being tempted by Satan, at one point He was offered all the world's kingdoms. Jesus didn't challenge the offer, but why? The only answer is that they all really did belong to Satan. How did he acquire the world? IMHO, in the Garden of Eden by getting people to turn against the rule of God.

This seems to have put the whole world under Satan's jurisdiction, which would explain why it's so bad. It would also explain why Jesus had to redeem or ransom us to get us back. And this in turn may be why blood was required: that was Satan's price, and it had to come from a sinless person. But what Satan didn't anticipate was God's ingenious solution: to become that sinless person Himself, as he alluded to in promising a savior through the seed of Eve, who has been the supreme object of Satan's hatred all this time.