The head of a penny is obviously the queens head, and the tail is that thing on the other side of the penny.
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A penny!
The side that has the Presidents face on it is the head making the other side the tail.
This is a Probability question P(head) = 1/2 = 0.5 P(tail) = 1/2 = 0.5 Reason . when flippimng a coin it can only come down on one of two sides, viz, the head side or the tail side.
This type of error of misstruck coins is called 'Brockage'. A Lincoln penny with this error is valued at $35.00
I'll use the crystal ball and suggest that you have a British Penny or Half-Penny. The "head" on one side is that of Queen Victoria. What you suspected as a "seated liberty" is an interpretation of the goddess Brittania.