It is extremely unlikely that an Australian decimal coin with minting errors survived the inspection process and went into general circulation. The closest acknowledgement of an error on an Australian 2 cent coin is that in 1967, 1968 and 1981, the designers initials were left off the reverse of the coin. If it turns out that you do have an Australian coin with a genuine minting error, take it to a reputable coin dealer for a valuation.
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The last Australian 2 cent coins were put into general circulation in 1989 and were withdrawn from circulation in 1992.
The 2006 Australian 2 cent coin was issued as part of a mint set to celebrate the 40th Anniversary of decimalisation.
The coin has the same specifications as all other Australian 2 cent coins except that the current bust of Elizabeth II is used on the obverse.
An Australian 2006 bronze 2 cent coin (Elizabeth II), uncirculated and in absolute mint condition and the original packaging could fetch up to $18 AUD.
There were 84,408 minted.
A reputable coin dealer will be able to give a more accurate valuation.
You do not specify the nature of the error.
Any coin with a "genuine" minting flaw would have some value, above the usual, as a collectible coin.
Genuinely flawed coins are not necessarily known about or documented until somebody turns up with one, since they are an "accident" of the minting process, and have escaped detection during quality control at the mint therefore, a valuation cannot be anticipated.
A reputable coin dealer should be able to identify and confirm the coin as genuine and make a valuation.