Me and Varun playing a game of cards (standard deck of 52 cards). In which we distributed 5 cards to each other. Edit: We have seen each other's cards. We have to put the cards in a line one by one alternatively. We don't make a separate line, we put the card in the common line. And we made the winning rule that one who makes a pattern (given below) will win the game.
and so on, where X and Y are the card name (suites are not distinguished.)
Now when we were beginning the game, we argue on, who's turn will be first. And finally, we came up with I will show the card first. But I paid for this, that I will only win if I make the pattern, and Varun will win if he made the pattern first or Varun will win even when no one makes the pattern and cards finish to both of us.
Now you have to tell me, how best card can I choose from available so that winning chances of mine are maximum?
(Give a proper explanation)