There are tons of combinations (more than I can list here), so I'll just list some common ones. You can use these to estimate the probability of other combinations, or you can use this calculator: https://deckulator.appspot.com/ Dragons/Thunders/Spellcasters/Waters Odds of drawing THTD in opening hand (total/Thunder/Thunderless) 6/4/7/14 26.5% / 22.1% / 4.4% 6/5/7/14 30.6% / 26.4% / 4.4% 7/5/6/13 34.3% / 29.5% / 4.8% 9/4/6/12 36.8% / 29.2% / 7.6% 6/7/6/12 37.0% / 33.9% / 3.1% 7/6/6/12 38.2% / 33.9% / 4.3% 8/5/6/12 38.2% / 32.3% / 5.9% 9/4/7/13 38.3% / 29.2% / 9.1% 8/6/5/12 41.9% / 37.1% / 4.8% 9/7/3/10 48.5% / 44.6% / 3.9% 13/4/6/11 49.1% / 35.6% / 13.5% 10/8/0/0 51.7% / 51.7% / 0.0% Dragons/Thunders/equips Odds of drawing 3300 THTD in first 9 cards (excluding Thunderless) 6/4/1 10.4% 8/7/1 16.0% 6/4/2 18.9% 6/4/3 25.9% 8/7/2 29.1% 8/7/3 39.6% ----- Assuming 30 cards left in the deck, if you have a Dragon and equip in the hand and MUST draw a THTD next turn, it is optimal to toss the Dragon when you have: 12 Dragons and 4 Thunders left 12 Dragons and 5 Thunders left 13 Dragons and 6 Thunders left (Keep in mind that these situations are rare, and you often have additional turns to draw the THTD. In these cases, fewer Dragons are required.)