1 Dihada, Binder of Wills

Paleozoic Parshath Patrollship Pendulum Pendulum Monster Penguin Performapal, Performage Phantasm Phantasm Phantom Beast Photon, Cipher Prank-Kids Predaplant Prediction Princess PSY-Frame Purrely, Expurrely Q Qliphort, Apoqliphort q quiet voice tentative R R-Genex Raidraptor r raika tentative raizeoru tentative R Rank-Up-Magic, Number C, Barian's Rank3 Xyz Rank4 Xyz Rank5 Xyz Reactor Rebellion Red-Eyes r regenesis R Reptilianne Rescue-ACE Resonator Rikka Ritual Beast, Spiritual Beast Ritual Monster r roid R Rokket, Borrel r rokubusiki tentative R Roland Rose Dragon, Rose r rough stone R Runick r ryuuge tentative S S-Force Sacred Beasts Sacrifice Salamangreat s sangen tentative S Satellarknight, Stellarknight Scareclaw Scrap s sennen tentative S Serket Shaddoll s shark shiiou tentative S Shiranui Simorgh s sirokimori tentative S Six Samurai Skull Servant Sky Striker Ace, Sky Striker Smile s snake eye tentative S Solfachord Speedroid Spellbook Sphinx Spright Springans SPYRAL Star Seraph Stardust Starry Knight Steelswarm Subterror Sunseed, Sunavalon, Sunvine Super Defense Super Quantum Superheavy Samurai Supreme King Dragon Swordsoul Sylvan Symphonic Warrior Synchro Monster Synchron T T.G

You can only use each effect of "Agido the Ancient Sentinel" once per turn
How original
Instead of using a calculator and my brain to solve it, I'll now write a small computer script using the Python programming language to calculate the probability of drawing two and also zero, three, and four Battle VIP Pass