What do Wiccans believe about Sin?


Short Answer: Nothing.
Long Answer: The Biblical concept of Sin is that of a covenant with the god of Abraham. The vast majority of Wiccans, again, with the exception of a very small number of people called "syncretics" do not feel that they are a part of that covenant, and nowhere in the Bible does it claim they are.
Sinning means "missing the mark" and can be thought of as "missing the mark of god." Wiccans have different gods, different marks, and their gods rarely expect a Wiccan to live beyond their capacity. They have the benefit of Gods that respect them regardless of the success of their actions,with the pleasurable burden of the expectations of those gods, which generally are striving to constantly improve one's life and knowledge while causing minimal harm and seeking to better know the gods and themselves.
Depending on the God a Wiccan follows, they may have different expectations. For example, a Wiccan who follows Hestia may be sworn to chastity. If this Wiccan cannot be chaste, they've no business following a goddess who expects it. Rarely are Wiccans called to serve gods that expect what they cannot do. For those Wiccans that fail their gods, the penalty, if any, is determined by the god. This penalty may be meted out in a change in life, or a penance may be paid. This is quite rare, however, as most Wiccans are not asked to do by their gods what they'd not do anyway, even if the doing is difficult. Another form of "sin" is "original sin" Wiccans believe we are born a blank slate, without a miasma to be cleaned or a price to be paid. The concept that we are somehow dirty and blood must be spilled is foreign to us.
Wiccans believe evil occurs in the world because of the choices people make, and that these choices are an effect of experience and phyiscal chemistry. Evil does not occur because we are evil, but because the universe is random. Wiccans believe those who make intentional evil choices are punished, in this life, if not instantly, than eventually. We believe we are inherantly comfort-seeking, not evil or dirty, and our base urges are for nothing more than comfort-food, sex, warmth, pleasure, air, etc.
Wiccans don't believe Christ died for them. Contrary to the claims of a few, the Bible never says so, and as their gods generally prohibit blood sacrifice of any kind, and see human sacrifice as committing ultimate harm, the idea of a god wanting something to die is foreign to them.

More info:
"what is syncreticism?"
Syncretic religions, like Voudoun, combine indigenous beliefs with Christianity. There are Pagan syncretic faiths too, like "Arthurian Christianity," "Jewitchery" and Christopagans.
Here's a venn diagram:

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