A chess player plays one game each against three chess players A, B, and C, with the results of each game being independent. The probabilities that the player wins against A, B, and C are $p_1, p_2, p_3$ respectively, where $p_3 > p_2 > p_1 > 0$. Let $p$ denote the probability that the player wins two consecutive games. Then
A. $p$ is independent of the order of games against A, B, and C
B. $p$ is maximum when the player plays against A in the second game
C. $p$ is maximum when the player plays against B in the second game
D. $p$ is maximum when the player plays against C in the second game