Carol's hands, the other two odd numbers, namely 3 and 9, must be in your own hand. Since

Andy can see two hands that total the same, Belle's hand totals 16, and Carol's hand totals 12, your hand must total either 16 or 12. But since you know that you have a 3 and a 9 which total

12 by themselves, you know that your total cannot be twelve because there is no zero card.

Therefore your total must be 16 and your cards must be 3, 4, and 9. The logic to solve this problem is to use process of elimination, you can eliminate more possibilities every time a player states what cards they see. When Andy starts to play you know that you have a total of 14 or a total of 18. When Belle sees the 5 and 9 cards that will take out the 14 card and that means your other card has to be a 4. Since Andy knew what cards he had,

He figured out that the only odd number cards Belle could really see from Carol and you had to be a 5 and 9 even though she said that she could see all of the odd number cards. The 1, 3 and 7 card could have only come from Andy. Andy draws the question card, “Do you see two or more players whose cards sum to