Setup. The Queen of Clubs is removed, leaving 51 cards and three queens. Cards are dealt out alternately. Same-rank pairs in your hand auto-discard immediately. Whatever's left can't pair within itself.
Your turn. Tap any face-down card in the CPU's hand to draw it (you can't see what it is). If it matches a card already in your hand, both discard. If not, you keep it and it's the CPU's turn.
Winning. First to empty their hand is safe. The other player is stuck with the unpaired queen — the Old Maid — and loses.
Pure luck. The only strategy: hope the CPU keeps taking your queen back.