I need help some help with the below problem and would appreciate very much if can offer some help.

thanks

Kingman

1) In a match, 2 teams (A and B) will play each other in the best of 3 games. That is, the final team to win 2 games will be the winner. In the first games, both teams have equal chance of winning. In subsequent games, the probability of team A winning team B given that team A won in the previous game is p and the probability of team A winning team B given that team A lost in the previous game is 1/3.

Find the value of p such that the team A has equal chances of winning and losing the competition.

Answer(2/3)