Consider three decks of cards. Deck 1 contains 10 cards: three twos, four fives, and three nines. Deck 2 contains four cards that are numbered 1–4. Deck 3 contains six cards numbered 1–6. Gregory draws one card from Deck 1; Taylor draws one card from Deck 2 and one card from Deck 3. What is the chance that Gregory’s card shows a larger number than the total of Taylor’s two cards?