Nose bleeds are not a normal occurrence. It should be taken seriously and would be prudent to consult an ENT specialist as soon as possible. Nose bleeds may be a sign of a tumour or growth (although not the commonest cause), this needs to be excluded.
The ENT specialist would do a Nasoendoscopy and take a look at the post nasal space. Other causes include prominent small blood vessels in the Littlest Area (in front of the nose) and allergies of the nose or nasal polyps.