A poker game is played with a standard pack of 52 cards (although some games may add wildcards). The rank of the cards goes from high to low: Ace, King, Queen, Jack, 10, 5, 4, 3, 2 and 1. The highest hand wins.
While some of the luck in a particular poker hand is random, most of the decisions made by players are based on probability, psychology and game theory. A good poker player can make a large amount of money by making intelligent, calculated bets that have positive expected value. A bad poker player will lose a lot of money by making poor, emotional decisions based on luck and superstition.
There is no doubt that poker will improve your math skills, not in a 1+1=2 kind of way but in a more practical, applied sort of way. You will become better at working out the odds of a given situation in your head and you will develop an intuition for things like frequencies and EV estimation.
You will learn how to read the board better and you will be able to identify different types of hands. For example, if you hold pocket kings and the flop comes A-8-5 you will have to be very cautious because your opponents will expect you to make three of a kind or a flush.
You will also learn the importance of position, which will give you cheap bluffing opportunities. Lastly, you will become more patient and this is a skill that will be beneficial in your professional life as well.