Did the prohibition law work or not?

No. The prohibition law in the United States was not a success. Prohibition began in 1920, and was later repealed in 1933 with the ratification of the 21st amendment. Prohibition is a ban on the production and sale of alcohol.

It was nearly impossible for the federal governement to enforce such a law. Prohibition led to things like the growth of the mafia and other criminal organizations that completely disregarded the federal law.