Question 6
Alice divides a 36-card deck, with 4 suits and 9 ranks, into 18 cards for herself and 18 for Bob. Each round Alice plays one remaining card, then Bob plays one. Bob scores 1 if their cards have the same suit or rank. What score can Bob guarantee against every initial division and every play by Alice? The official original says the cards are face up; the book says face down. Use the official face-up rule for the intended problem.