Person A and Person B play a sequence of chess games. S=(A wins a game) and the outcomes of the successive games are independent with P(S)=P(F)=0.5 (they never draw). They will play until one of them wins two games in a row, and if this does not happen in five games then the winner is the one who wins the most out of the five games...
X= the number of games played.

Sooo i am trying to find the prob. distribution (pmf) of X. But honestly I dont even know where to start because I am so confused as to what probabilities to assign each scenerio. any help on how to start this?