I get Toto-Rak alot and that is the dungeon that I hate the most in this game. Its just luck. I have seen alot of newcomers join FFXIV, so the odds of getting the first 3 dungeons is very high.

Just look it from a positive side, you as a veteren FFXIV player can educate the newcomers on their roles. You can teach them what role does what in a party, you can give tips on the classes that you have leveled. As a beacon you can guide them to become not only a good player, but a good person. Remember if someone is making mistakes, educate them in a polite way and teach them that being respectfull to others is a good thing.

I dislike Toto-Rak, but everytime when I am in that dungeon with newcomers, I try to teach them not only on how they can improve as gamers, but how they can be a better person and by setting a good example, you will see that others will follow and set a good example for the future newcomers.