Ok, so Mentor Roulette contains extreme primals.

[Felis]

Duties Applicable to Duty Roulette: Mentor

Dungeons
Sastasha / The Tam-Tara Deepcroft / Copperbell Mines / Halatali / The Thousand Maws of Toto-Rak / Haukke Manor / Brayflox's Longstop / The Sunken Temple of Qarn / Cutter's Cry / The Stone Vigil / Dzemael Darkhold / The Aurum Vale / The Wanderer's Palace / Amdapor Keep / Castrum Meridianum / The Praetorium / Pharos Sirius / Copperbell Mines (Hard) / Haukke Manor (Hard) / The Lost City of Amdapor / Halatali (Hard) / Brayflox's Longstop (Hard) / Hullbreaker Isle / The Tam-Tara Deepcroft (Hard) / The Stone Vigil (Hard) / Snowcloak / Sastasha (Hard) / The Sunken Temple of Qarn (Hard) / The Keeper of the Lake / The Wanderer's Palace (Hard) / Amdapor Keep (Hard) / The Dusk Vigil / Sohm Al / The Aery / The Vault / The Great Gubal Library / The Aetherochemical Research Facility / Neverreap / The Fractal Continuum / Saint Mocianne's Arboretum / Pharos Sirius (Hard) / The Antitower / The Lost City of Amdapor (Hard)

Guildhests
Basic Training: Enemy Parties / Under the Armor / Basic Training: Enemy Strongholds / Hero on the Halfshell / Pulling Poison Posies / Stinging Back / All's Well that Ends in the Well / Flicking Sticks and Taking Names / More than a Feeler / Annoy the Void / Shadow and Claw / Long Live the Queen / Ward Up / Solemn Trinity

Trials
The Bowl of Embers / The Navel / The Howling Eye / Cape Westwind / The Chrysalis / The Steps of Faith / A Relic Reborn: The Chimera / A Relic Reborn: The Hydra / Battle on the Big Bridge / The Dragon's Neck / Urth's Fount / Battle in the Big Keep / The Bowl of Embers (Hard) / The Howling Eye (Hard) / The Navel (Hard) / Thornmarch (Hard) / The Whorleater (Hard) / The Striking Tree (Hard) / Akh Afah Amphitheatre (Hard) / The Minstrel's Ballad: Ultima's Bane / The Howling Eye (Extreme) / The Navel (Extreme) / The Bowl of Embers (Extreme) / Thornmarch (Extreme) / The Whorleater (Extreme) / The Striking Tree (Extreme) / Akh Afah Amphitheatre (Extreme) / Thok ast Thok (Hard) / The Limitless Blue (Hard) / The Singularity Reactor / Containment Bay S1T7

Raids
The Labyrinth of the Ancients / Syrcus Tower / The World of Darkness / The Void Ark / Alexander - The Fist of the Father / Alexander - The Cuff of the Father / Alexander - The Arm of the Father / Alexander - The Burden of the Father

3.2 patch notes

I don't have T13 access, but I have Mentor roulette access. It's like leveling roulette. It puts you in anything you have access to.

Coil is not in the list