i'm a bit left eye dominant and have no problem shooting right handed with both eyes open and a no peep. both eyes open took a day to get used to. if you tried to put the pin your left eye was seeing on the target it would get obvious real fast you were messing up. i've found it much easier to shoot with both eyes open with the no peep being a bit left eye dominant. when my right eye was trying to look through a peep and i'd open my left eye it would want to completely take over. with nothing restricting my vision out of my right eye its much easier to see out of it to shoot. now i don't ever wonder if i've got it correct when i draw.