Finally I figured out the math problem
I know many people must have done that.But I'm also very glad to tell everyone interested in the game.
The second hand player could win definitely.Let me mark the card like "1357" which means the beginning.
those combination below will also win.
1
111 123 145
22 33 44 55
1122 1133 1144 1155
246 257 347 356
and 1357
all other situations will turn to those above in one step.