A more thorough explanation:

Possibility means that something may or may not happen. It can also refer to having a chance of getting something in the future, like property or money.

• There is a possibility of rain tomorrow.
• She has a possibility of inheriting her grandmother's house.
• A person who buys a lottery ticket has a possibility of winning the jackpot.

These examples illustrate the definition of possibility because they all involve something that may or may not happen. The first example talks about the possibility of rain, which means it might rain or it might not. The second example talks about the possibility of inheriting property, which means the person might get it or they might not. The third example talks about the possibility of winning the lottery, which means the person might win or they might not.