The heads side is called the OBVERSE and the tails side is called the REVERSE.
The difficulty is that not all coins have an obvious heads and tails side. For instance, most British Commonwealth coins depict the monarch on one side and a denomination/country-specific image on the other. By convention the side with the monarch's head is normally considered to be the heads side
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The side with a head on it.
The Front of a coin is the heads side Known as the obverse. The Back of a coin is the tails side "reverse".
Normally the "heads" side is the obverse. That categorization is contentious when a coin bears the picture of the reigning monarch on one side, such as coins from Canada, Britain, and Australia. In those cases numismatists tend to call the design side the obverse and the portrait side the reverse, but that's not universal.
One side of a coin usually has a "head" of someone. The other side is the tail.
It means just what it seems to -- someone tosses a coin up and you try to guess which side will be facing up when it lands. "Heads" is the side with the person's face on it and "tails" is other side.