If the local professional basket ball team, the sneakers, wins today's game, they have a 2/3 chance of winning their next game. If they lose this game, they have 1/2 chance of winning their next game.
a) Make a Markov chain for this problem: give the matrix of transition probabilities and draw the transition diagram
b) If there is 50-50 chance of the Sneakers winning today's game, what are the chances they win their next game?