The story behind the coin
In 1996, the modern Olympics turned one hundred years old, and the United States threw the party. The Games came to Atlanta — the Centennial Olympic Games, the XXVI Olympiad — and someone had to pay for them.
Congress reached for a tool it had used since 1892: the commemorative coin. In October 1992 it passed the Centennial Olympic Games Commemorative Coin Act (Public Law 102-390), authorizing not one coin but sixteen — a sprawling program of clad half dollars, silver dollars, and gold five-dollar pieces spread across 1995 and 1996. Each one carried a built-in donation. Every half dollar sold added a $3 surcharge that went, by law, to Atlanta Centennial Olympic Properties and on to the organizing committee and the U.S. Olympic Committee. Buy the coin, fund the Games.
The 1995 Basketball half dollar was one of two clad fifty-cent pieces struck that year (the other honored baseball). It is not a circulating coin you'd find in change. It was sold straight from the Mint to collectors, in San Francisco, at a markup — the surcharge baked into the price.
Here's the twist. The program was too big. Sixteen designs is a lot to ask anyone to buy, and the public stayed home. The Mint had authorized up to two million Basketball half dollars. It sold a fraction of that — and the low demand turned a coin meant for a global celebration into one of the scarcer issues of its era.