Question 34
Rosa and Savino play the following game with the Neapolitan cards (40 cards numbered from 1 to 10 of 4 different suits): initially they divide the 40 cards (20 for each), then they take turns placing one card on the table. When some of the cards on the table have values whose sum equals exactly 15, these cards are eliminated from the game (if there are more than one ways to obtain a sum of 15, the player who placed the last card decides which cards with a sum of values equal to 15 are to be eliminated). At the end of the game there were 2 cards left in Savino's hand (a 5 and a 3), one card on the table (a 9) and one card in Rosa's hand. What is the value of Rosa's card?