Not a trick question. And I'm sorry yeah I meant you're on the play T1 against an unknown opponent. It makes sense that you would want to cast Putrid Imp T1 especially with the limitation I gave which was you only have 1 land and like you said you will usually dredge more if you wait to cast your draw spell on turn 2 assuming it resolves.
Now onto the reason I asked that in the first place. And i'm sure there are math wizzes out there that can determine the odds of the following happening, but in my experience leading with Putrid Imp has left me dredging less (the opposite of what you're saying) because my opponent's turn 1 was either a Wasteland or a Duress/Thoughtseize to take said Draw Spell. After that you're left slow dredging every turn which in today's meta is not good enough. The reason I cast the draw spell first is to either draw more Careful Study/Faithless Looting, an LED, a Cephalid Coliseum, or another land in the chance the existing one does get wasted. I feel like you get more options that way rather than just sulking after the realization that the only land/draw spell you had going for you just got wrenched. Also if you did only have that one land then I would still want to fire off the draw spell because if you go turn 1 Putrid Imp with the hopes of casting a careful study on your turn 2 you also now leave yourself open to soft permission like Daze as well as Spell Pierce.
With all that in mind I just decided to not really run it. I do have Street Wraith's in my build which provides that extra food for Ichorid as well as having Prized Amalgams added to the count. Just my little opinion on our friend PImp.
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