For each pool table upon which the game of pin pool, bottle pool or starboard pool, or other like device is played, there shall be paid a license tax of $100. For each table upon which the game of pool or billiards is played with 15 balls or more or less, and not pin pool, there shall be paid a license tax of $25. The provisions of this section shall not apply to pool or billiard tables operated or owned by private individuals and used in their homes or pool or billiard tables operated or owned by private clubs, social clubs, or Y.M.C.A.’s when no charge is made for playing thereon.