I'm sure it's just a coincidence, too. Probably your nose may be a little dry both from smoking and from the fact that it's getting to be summertime, and a lot of times when your nose is dry and irritated, you get nosebleeds a lot easier. Some other things that could possible cause nosebleeds are if you drink alcohol and happen to drink and smoke at the same time. Alcohol can aggravate nosebleeds. Also, if you take aspirin or any other similar type of blood-thinning medicine, that can make nosebleeds happen more easily.