Within the context of the mentioned defi nition of basketball game states (Jelaska, 2011; Perica, 2011; Trninić, Perica, & Pavičić, 1994), it is obvious there are infi nitely many different states of the game. Such definition of the basketball game states, although formal and scientific, is not practical to be submitted to the Markov chains analysis. Therefore,we have to get definite number of game states. It would be done by equivalency analysis. We define that two states are equivalent if they are alike in terms of space-time relationship. The feature of transitivity should be emphasized here, that is, if A and B are equivalent states and if C and D are also equivalent states, then A and C will be also equivalent states.Now the state of the Markov chain can be defined as the set of the entire states equivalent to a certain state.Apparently, a single state of the Markov chain consists of infinitely many inter equivalent states, as well as a particular game state can be found only in one state of the Markov chain. A single state of the Markov chain occurs in the interval t t t i i ,where t is selected empirically, so that our consideration would have a practical purpose.