I dont know about Maine or New Hampshire, but the odds of drawing a nonresident moose tag in Vermont is 1:16, I think the odds of hitting the lottery is 1:47,000,000. For the 2004 season, they doubled the number of tags that will be avalible to the hunters. So actually your chances of drawing a moose tag as a nonresident is pretty good, especailly when you compare it to other states. Vermont dosent have a point system, so you have the same chance of drawing each year you apply. Vermont is probably the easiest state for nonresidents to draw a moose permit in.